Neutrosophic Precalculus and Neutrosophic Calculus

Neutrosophic Analysis is a generalization of Set Analysis, which in its turn is a generalization of Interval Analysis. Neutrosophic Precalculus is referred to indeterminate staticity, while Neutrosophic Calculus is the mathematics of indeterminate change. The Neutrosophic Precalculus and Neutrosophic Calculus can be developed in many ways, depending on the types of indeterminacy one has and on the methods used to deal with such indeterminacy. In this book, the author presents a few examples of indeterminacies and several methods to deal with these specific indeterminacies, but many other indeterminacies there exist in our everyday life, and they have to be studied and resolved using similar of different methods. Therefore, more research should to be done in the field of neutrosophics. The author introduces for the first time the notions of neutrosophic mereo-limit, neutrosophic mereo-continuity (in a different way from the classical semi-continuity), neutrosophic mereo-derivative and neutrosophic mereo-integral (both in different ways from the fractional calculus), besides the classical definitions of limit, continuity, derivative, and integral respectively. Future research may be done in the neutrosophic fractional calculus.

[1]  F. Smarandache Neutrosophic Degree of a Paradoxicity , 2010 .

[2]  Agboola A.A.A.,et al.  Neutrosophic Vector Spaces , 2015 .

[3]  A. Agboola,et al.  Neutrosophic Hypervector Spaces , 2010 .

[4]  Luige Vladareanu,et al.  Generalization of Neutrosophic Rings and Neutrosophic Fields , 2014 .

[5]  Soft Neutrosophic Loop, Soft Neutrosophic Biloop and Soft Neutrosophic N-Loop , 2013 .

[6]  Jun Ye Another Form of Correlation Coefficient between Single Valued Neutrosophic Sets and Its Multiple Attribute Decision- Making Method , 2013 .

[7]  Jun Ye,et al.  Improved cosine similarity measures of simplified neutrosophic sets for medical diagnoses , 2015, Artif. Intell. Medicine.

[8]  Rıdvan Şahin,et al.  A multi attribute decision making method based on inclusion measure for interval neutrosophic sets , 2015 .

[9]  A. A. Salama,et al.  Neutrosophic Relations Database , 2014 .

[10]  F. Smarandache,et al.  Correlation Coefficient of Interval Neutrosophic Set , 2013 .

[11]  Florentin Smarandache,et al.  New Neutrosophic Crisp Topological Concepts , 2014 .

[12]  Anne-Laure Jousselme,et al.  Neutrosophy in Situation Analysis , 2010 .

[13]  Florentin Smarandache,et al.  Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties , 2017 .

[14]  uan-juan Penga,et al.  An outranking approach for multi-criteria decision-making problems with simplified neutrosophic sets , 2014 .

[15]  Shabir Muhammad,et al.  Soft Neutrosophic Group , 2013 .

[16]  Florentin Smarandache,et al.  More on Intuitionistic Neutrosophic Soft Sets , 2013 .

[17]  An Example of Guiding Scientific Research with Philosophical Principles Based on Uniqueness of Truth and Neutrosophy Deriving Newton's Second Law and the like , 2015 .

[18]  Heng-Da Cheng,et al.  A NOVEL NEUTROSOPHIC LOGIC SVM (N-SVM) AND ITS APPLICATION TO IMAGE CATEGORIZATION , 2013 .

[19]  Said Broumi,et al.  Neutrosophic soft relations and some properties , 2014 .

[20]  Jun Ye Multiple-Attribute Group Decision-Making Method under a Neutrosophic Number Environment , 2016, J. Intell. Syst..

[21]  Daniel Octavian Melinte CERCETĂRI TEORETICE ȘI EXPERIMENTALE PRIVIND CONTROLUL SISTEMELOR MECANICE DE POZIȚIONARE CU PRECIZIE RIDICATĂ , 2015 .

[22]  Yanqing Zhang,et al.  Truth-value based interval neutrosophic sets , 2005, 2005 IEEE International Conference on Granular Computing.

[23]  Florentin Smarandache,et al.  Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies , 2015 .

[24]  F. Smarandache,et al.  Intuitionistic Neutrosphic Soft Set over Rings , 2014 .

[25]  Florentin Smarandache,et al.  Processing Uncertainty and Indeterminacy in Information Systems success mapping , 2005, ArXiv.

[26]  Florentin Smarandache Five Paradoxes and a General Question on Time Traveling , 2010 .

[27]  Rajshekhar Sunderraman,et al.  Neutrosophic Logic Based Semantic Web Services Agent , 2010 .

[28]  Lingwei Kong,et al.  Misfire Fault Diagnosis Method of Gasoline Engines Using the Cosine Similarity Measure of Neutrosophic Numbers , 2015 .

[29]  Fu Yuhua Examples of Neutrosophic Probability in Physics , 2015 .

[30]  Florentin Smarandache,et al.  Redesigning Decision Matrix Method with an indeterminacy-based inference process , 2007, ArXiv.

[31]  Florentin Smarandache,et al.  Neutrosophic masses & indeterminate models: Applications to information fusion , 2012, 2012 15th International Conference on Information Fusion.

[32]  Huda E. Khalid An Original Notion to Find Maximal Solution in the Fuzzy Neutrosophic Relation Equations (FNRE) with Geometric Programming (GP) , 2015 .

[33]  Jing Wang,et al.  Multi-valued Neutrosophic Sets and Power Aggregation Operators with Their Applications in Multi-criteria Group Decision-making Problems , 2015, Int. J. Comput. Intell. Syst..

[34]  Fu Yuhua Negating Four Color Theorem with Neutrosophy and Quad-stage Method , 2015 .

[35]  Josep Maria Font,et al.  Belnap's Four-Valued Logic and De Morgan Lattices , 1997, Log. J. IGPL.

[36]  Luige Vladareanu,et al.  Applications of neutrosophic logic to robotics: An introduction , 2011, 2011 IEEE International Conference on Granular Computing.

[37]  Ranjit Biswas,et al.  Deployment of neutrosophic technology to retrieve answer for queries posed in natural language , 2010, 2010 3rd International Conference on Computer Science and Information Technology.

[38]  Anne-Laure Jousselme,et al.  Vagueness, a multifacet concept - a case study on Ambrosia artemisiifolia predictive cartography , 2004, IGARSS 2004. 2004 IEEE International Geoscience and Remote Sensing Symposium.

[39]  Florentin Smarandache,et al.  Interval Valued Neutrosophic Soft Topological Spaces , 2014 .

[40]  B. Giri,et al.  A New Methodology for Neutrosophic Multi-attribute Decision-making with Unknown Weight Information , 2014 .

[41]  Florentin Smarandache,et al.  Neutrosophic Refined Relations and Their Properties , 2015 .

[42]  Pabitra Kumar Maji,et al.  Weighted Neutrosophic Soft Sets , 2015 .

[43]  Yanqing Zhang,et al.  Interval Neutrosophic Sets and Logic: Theory and Applications in Computing , 2005, ArXiv.

[44]  Jun Ye,et al.  Multiple-attribute Decision-Making Method under a Single-Valued Neutrosophic Hesitant Fuzzy Environment , 2014, J. Intell. Syst..

[45]  A. A. Salama,et al.  *- Neutrosophic Crisp Set & *- Neutrosophic Crisp relations , 2014 .

[46]  Florentin Smarandache,et al.  An Extended TOPSIS Method for Multiple Attribute Decision Making based on Interval Neutrosophic Uncertain Linguistic Variables , 2015 .

[47]  A. A. Salama,et al.  Review of Recommender Systems Algorithms Utilized in Social Networks based e-Learning Systems & Neutrosophic System , 2015 .

[48]  Florentin Smarandache,et al.  Neutrosophic Overset, Neutrosophic Underset, and Neutrosophic Offset. Similarly for Neutrosophic Over-/Under-/Off- Logic, Probability, and Statistics , 2016, ArXiv.

[49]  Suman Rao,et al.  Externalizing Tacit knowledge to discern unhealthy nuclear intentions of nation states , 2008, 2008 3rd International Conference on Intelligent System and Knowledge Engineering.

[50]  Nuel D. Belnap,et al.  A Useful Four-Valued Logic , 1977 .

[51]  Kerstin Vogler,et al.  Algebraic Foundations Of Many Valued Reasoning , 2016 .

[52]  Florentin Smarandache,et al.  Introduction to Develop Some Software Programs for Dealing with Neutrosophic Sets , 2014 .

[53]  Florentin Smarandache Interval-Valued Neutrosophic Oversets, Neutrosophic Undersets, and Neutrosophic Offsets , 2016 .

[54]  B. Davvaz,et al.  On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings , 2015 .

[55]  Madhumangal Pal,et al.  Intuitionistic Neutrosophic Set , 2009 .

[56]  Surapati Pramanik,et al.  Neutrosophic Game Theoretic Approach to Indo-Pak Conflict over Jammu-Kashmir , 2013 .

[57]  ADDRESSING THE DIMENSIONS OF EDUCATION AND INTEGRATED CURRICULUM VIA GENERALIZED FUZZY LOGIC , 2015 .

[58]  Fu Yuhua Expanding Newton Mechanics with Neutrosophy and Quad- stage Method ──New Newton Mechanics Taking Law of Conservation of Energy as Unique Source Law , 2014 .

[59]  Sarjinder Singh,et al.  Neurofuzzy and neutrosophic approach to compute the rate of change in new economies , 2002 .

[60]  V. Krishnaveni,et al.  Validating the Neutrosophic approach of MRI denoising based on structural similarity , 2012 .

[61]  Yanhui Guo,et al.  A Neutrosophic approach of MRI denoising , 2011, 2011 International Conference on Image Information Processing.

[62]  Muhammad Shabir,et al.  Algebraic Structures Of Neutrosophic Soft Sets , 2015 .

[63]  Florentin Smarandache,et al.  The Characteristic Function of a Neutrosophic Set , 2013 .

[64]  Surapati Pramanik,et al.  Multi-criteria Group Decision Making Approach for Teacher Recruitment in Higher Education under Simplified Neutrosophic Environment , 2014 .

[65]  Ranjit Biswas,et al.  A Method of Imprecise Query Solving , 2008 .

[66]  Florentin Smarandache,et al.  To be and Not to be – An introduction to Neutrosophy: A Novel Decision Paradigm , 2013 .

[67]  Florentin Smarandache,et al.  Neutrosophy, A New Branch of Philosophy , 2014 .

[68]  Florentin Smarandache,et al.  Thesis-Antithesis-Neutrothesis, and Neutrosynthesis , 2015 .

[69]  New Type of Fuzzy Relational Equations and Neutrosophic Relational Equations - To analyse Customers Preference to Street Shops , 2014 .

[70]  F. Smarandache (T, i, f)-Neutrosophic Structures & I-Neutrosophic Structures (Revisited) , 2015 .

[71]  A. A. Salama,et al.  Correlation Coefficients of Neutrosophic Sets by Centroid Method , 2013 .

[72]  Jun Ye,et al.  A novel image thresholding algorithm based on neutrosophic similarity score , 2014 .

[73]  Heng-Da Cheng,et al.  Novel approaches to image segmentation based on neutrosophic logic , 2012 .

[74]  Florentin Smarandache,et al.  Neutrosophic Diagram and Classes of Neutrosophic Paradoxes or to the Outer-Limits of Science , 2010 .

[75]  Florentin Smarandache,et al.  Foundations of Neutrosophic Logic and Set and Their Applications to Information Fusion , 2013 .

[76]  Florentin Smarandache,et al.  Operators on Single-Valued Neutrosophic Oversets, Neutrosophic Undersets, and Neutrosophic Offsets , 2016 .

[77]  Heng-Da Cheng,et al.  A NOVEL IMAGE SEGMENTATION APPROACH BASED ON NEUTROSOPHIC SET AND IMPROVED FUZZY C-MEANS ALGORITHM , 2011 .

[78]  Pabitra Kumar Maji,et al.  WEIGHTED NEUTROSOPHIC SOFT SETS APPROACH IN A MULTICRITERIA DECISION MAKING PROBLEM , 2015 .

[79]  Maikel Leyva-Vázquez,et al.  Análisis de Los Textos de José Martí Utilizando Mapas Cognitivos Neutrosóficos , 2013 .

[80]  Jun Ye,et al.  Single valued neutrosophic cross-entropy for multicriteria decision making problems , 2014 .

[81]  Sukanto Bhattacharya,et al.  A short note on financial data set detection using neutrosophic probability , 2001 .

[82]  Florentin Smarandache,et al.  ROUGH NEUTROSOPHIC SETS , 2014 .

[83]  Chun Che Fung,et al.  Comparing performance of interval neutrosophic sets and neural networks with support vector machines for binary classification problems , 2008, 2008 2nd IEEE International Conference on Digital Ecosystems and Technologies.

[84]  F. Smarandache,et al.  Several Similarity Measures of Neutrosophic Sets , 2013 .

[85]  Said Broumi,et al.  Neutrosophic Soft Multi-Set Theory and Its Decision Making , 2014 .

[86]  I. Arockiarani,et al.  Interval Valued Fuzzy Neutrosophic Soft Structure Spaces , 2014 .

[87]  F. Smarandache,et al.  Soft Neutrosophic Bi-LA-semigroup and Soft Neutrosophic N-LA-seigroup , 2014 .

[88]  Florentin Smarandache,et al.  Logic: a misleading concept. A contradiction study toward agent's logic ontology , 2002 .

[89]  Kanika Mandal,et al.  Hypercomplex Neutrosophic Similarity Measure & Its Application in Multi-Criteria Dicision Making Problem , 2015 .

[90]  Florentin Smarandache,et al.  Neutrosophic Closed Set and Neutrosophic Continuous Functions , 2014 .

[91]  Florentin Smarandache Neutrosophic Transdisciplinarity — Multi-Space & Multi-Structure , 2014 .

[92]  Swati Aggarwal,et al.  Neutrosophic classifier: An extension of fuzzy classifer , 2014, Appl. Soft Comput..

[93]  F. Smarandache,et al.  Generalization of Soft Neutrosophic Rings and Soft Neutrosophic Fields , 2014 .

[94]  M. Teodorescu,et al.  Neutrosophic Circuits of Communication - A Review , 2014 .

[95]  O. M. Khaled,et al.  Neutrosophic Correlation and Simple Linear Regression , 2014 .

[96]  Pabitra Kumar Maji,et al.  Neutrosophic Soft Set , 2013 .

[97]  André Rogatko,et al.  A neutrosophic description logic , 2006, 2006 IEEE International Conference on Granular Computing.

[98]  Irfan Deli,et al.  npn-soft sets theory and their applications , 2015 .

[99]  Said Broumi,et al.  Neutrosophic Parameterized Soft Relations and Their Applications , 2014 .

[100]  Francisco Gallego Lupiáñez,et al.  Interval neutrosophic sets and topology , 2008, Kybernetes.

[101]  A. A. Salama,et al.  Basic Structure of Some Classes of Neutrosophic Crisp Nearly Open Sets & Possible Application to GIS Topology , 2015 .

[102]  Dialectics and the Dao: On Both, A and Non-A in Neutrosophy and Chinese Philosophy , 2014 .

[103]  Florentin Smarandache S-Denying a Theory , 2010 .

[104]  Lance Chun Che Fung,et al.  Ensemble Neural Networks Using Interval Neutrosophic Sets and Bagging , 2007, Third International Conference on Natural Computation (ICNC 2007).

[105]  Chih-Yen Chen,et al.  A novel image enhancement approach for Phalanx and Epiphyseal/metaphyseal segmentation based on hand radiographs , 2012, 2012 IEEE International Instrumentation and Measurement Technology Conference Proceedings.

[106]  Jun Ye,et al.  Single Valued Neutrosophic Similarity Measures for Multiple Attribute Decision-Making , 2014 .

[107]  A. Kharal A Neutrosophic Multicriteria Decision Making Method , 2013 .

[108]  Jun Ye,et al.  Dice Similarity Measure between Single Valued Neutrosophic Multisets and Its Application in Medical Diagnosis , 2015 .

[109]  Didier Dubois,et al.  Possibility Theory, Probability Theory and Multiple-Valued Logics: A Clarification , 2001, Annals of Mathematics and Artificial Intelligence.

[110]  Florentin Smarandache,et al.  New Results of Intuitionistic Fuzzy Soft Set , 2014 .

[111]  Jun Ye,et al.  A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets , 2014, J. Intell. Fuzzy Syst..

[112]  Surapati Pramanik,et al.  A Study on Problems of Hijras in West Bengal Based on Neutrosophic Cognitive Maps , 2014 .

[113]  Fu Yuhua New Newton Mechanics Taking Law of Conservation of Energy as Unique Source Law (Revised Version) , 2015 .

[114]  Przemyslaw Grzegorzewski,et al.  Some notes on (Atanassov's) intuitionistic fuzzy sets , 2005, Fuzzy Sets Syst..

[115]  E. R. Opran,et al.  Art and being in neutrosophic communication , 2015 .

[116]  C. A. C. Sweety,et al.  Rough sets in Fuzzy Neutrosophic approximation space , 2015 .

[117]  Debabrata Mandal Comparative Study of Intuitionistic and Generalized Neutrosophic Soft Sets , 2015 .

[118]  Didier Dubois,et al.  Terminological difficulties in fuzzy set theory - The case of "Intuitionistic Fuzzy Sets" , 2005, Fuzzy Sets Syst..

[119]  Jun Ye,et al.  Medical Diagnosis Using Distance-Based Similarity Measures of Single Valued Neutrosophic Multisets , 2015 .

[120]  Suman Rao Red Teaming military intelligence - a new approach based on Neutrosophic Cognitive Mapping , 2010, 2010 IEEE International Conference on Intelligent Systems and Knowledge Engineering.

[121]  Rıdvan Şahin,et al.  Neutrosophic Hierarchical Clustering Algoritms , 2015 .

[122]  Sadhan Sarkar,et al.  Several Similarity Measures of Interval Valued Neutrosophic Soft Sets and Their Application in Pattern Recognition Problems , 2015 .

[123]  Florentin Smarandache,et al.  Topological Neutrosophic Ideal Theory Neutrosophic Local Function and Generated Neutrosophic Topology , 2013 .

[124]  A. A. Salama,et al.  Correlation of Neutrosophic Data , 2012 .

[125]  Florentin Smarandache,et al.  Complex neutrosophic set , 2016, Neural Computing and Applications.

[126]  Irfan Deli,et al.  Correlation Measure for Neutrosophic Refined Sets and its application in Medical Diagnosis , 2013 .

[127]  Florentin Smarandache,et al.  New distance and similarity measures of interval neutrosophic sets , 2014, 17th International Conference on Information Fusion (FUSION).

[128]  Madhumangal Pal,et al.  Intuitionistic Neutrosophic Set Relations and Some of Its Properties , 2010 .

[129]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[130]  D. Mandal Neutrosophic Soft Semirings , 2014 .

[131]  Rajshekhar Sunderraman,et al.  Single Valued Neutrosophic Sets , 2010 .

[132]  Lance Chun Che Fung,et al.  Quantification of Uncertainty in Mineral Prospectivity Prediction Using Neural Network Ensembles and Interval Neutrosophic Sets , 2006, The 2006 IEEE International Joint Conference on Neural Network Proceedings.

[133]  F. Smarandache,et al.  New Operations on Intuitionistic Fuzzy Soft Sets Based on First Zadeh's Logical Operators , 2014 .

[134]  Florentin Smarandache,et al.  N-Valued Interval Neutrosophic Sets and Their Application in Medical Diagnosis , 2015 .

[135]  Surapati Pramanik,et al.  Rough Neutrosophic Multi-Attribute Decision-Making Based on Rough Accuracy Score Function , 2015 .

[136]  Karin Ackermann,et al.  Complex Numbers In N Dimensions , 2016 .

[137]  F. Smarandache,et al.  Intentionally and unintentionally: on both, A and non-A, in neutrosophy , 2002, math/0201009.

[138]  Yanhui Guo,et al.  A Novel Image Segmentation Algorithm Based on Neutrosophic Filtering and Level Set , 2013 .

[139]  Florentin Smarandache Toward Dialectic Matter Element of Extenics Model , 2010 .

[140]  Florentin Smarandache,et al.  Filters via Neutrosophic Crisp Sets , 2013 .

[141]  Florentin Smarandache The Neutrosophic Research Method in Scientific and Humanistic Fields , 2010 .

[142]  Francisco Gallego Lupiáñez,et al.  On various neutrosophic topologies , 2009, Kybernetes.

[143]  F. Smarandache Neutrosophic Diagram and Classes of Neutrosophic Paradoxes , 2010 .

[144]  Gal Ionel Alexandru,et al.  Neutrosophic Logic Approaches Applied to ”RABOT” Real Time Control , 2014 .

[145]  A. A. Salama,et al.  Neutrosophic Set and Neutrosophic Topological Spaces , 2012 .

[146]  S. Samanta,et al.  Single valued neutrosophic multisets , 2015 .

[147]  A. Agboola,et al.  Neutrosophic Hypercompositional Structures defined by Binary Relations , 2014 .

[148]  Florentin Smarandache,et al.  Interval Valued Neutrosophic Parameterized Soft Set Theory and its Decision Making , 2014 .

[149]  C. Ashbacher Introduction to neutrosophic logic , 2002 .

[150]  Smarandache Florentin (t, i, f)-Neutrosophic Structures & I-Neutrosophic Structures , 2015 .

[151]  Pierre Valin,et al.  Analysis of information fusion combining rules under the dsm theory using ESM inputs , 2007, 2007 10th International Conference on Information Fusion.

[152]  Surapati Pramanik,et al.  Neutrosophic Decision Making Model of School Choice , 2015 .

[153]  Florentin Smarandache,et al.  Neutrosophic Logic as a Theory of Everything in Logics , 2010 .

[154]  Smarandache Florentin,et al.  Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of An IVNSS-Relation , 2014 .

[155]  Shabir Muhammad,et al.  Neutrosophic Bi-LA-Semigroup and Neutrosophic N-LASemigroup , 2014 .

[156]  Fu Yuhua Pauli Exclusion Principle and the Law of Included Multiple-Middle , 2015 .

[157]  Fu Yuhua Neutrosophic Examples in Physics , 2013 .

[158]  Florentin Smarandache,et al.  Relations on Interval Valued Neutrosophic Soft Sets , 2014 .

[159]  Florentin Smarandache,et al.  Neutrosophic Crisp Sets & Neutrosophic Crisp Topological Spaces , 2014 .

[160]  F. Smarandache Neutrosophic Measure and Neutrosophic Integral , 2013 .

[161]  Said Broumi,et al.  Neutrosophic soft matrices and NSM-decision making , 2015, J. Intell. Fuzzy Syst..

[162]  Smarandache Florentin Reliability and Importance Discounting of Neutrosophic Masses , 2015 .

[163]  F. Smarandache,et al.  A Note on Square Neutrosophic Fuzzy Matrices , 2015 .

[164]  Florentin Smarandache,et al.  Neutrosophic Crisp Set Theory , 2015 .

[165]  Fu Yuhua Expanding Uncertainty Principle to Certainty-Uncertainty Principles with Neutrosophy and Quad-stage Method , 2015 .

[166]  Luige Vladareanu,et al.  Neutrosophic LA-Semigroup Rings , 2015 .

[167]  Florentin Smarandache,et al.  Some Types of Neutrosophic Crisp Sets and Neutrosophic Crisp Relations , 2014 .

[168]  Xiaojun Qi,et al.  An effective neutrosophic set-based preprocessing method for face recognition , 2013, 2013 IEEE International Conference on Multimedia and Expo Workshops (ICMEW).

[169]  Chun Che Fung,et al.  Neural Network Ensembles using Interval Neutrosophic Sets and Bagging for Mineral Prospectivity Prediction and Quantification of Uncertainty , 2006, 2006 IEEE Conference on Cybernetics and Intelligent Systems.

[170]  A. A. Salama,et al.  Neutrosophic Crisp Points & Neutrosophic Crisp Ideals , 2013 .

[171]  Vasile Patrascu,et al.  The Neutrosophic Entropy and its Five Components , 2015, ArXiv.

[172]  Petr Hájek,et al.  A complete many-valued logic with product-conjunction , 1996, Arch. Math. Log..

[173]  Shawkat Alkhazaleh,et al.  Mappings on Neutrosophic Soft Classes , 2015 .

[174]  Shyamal Kumar Mondal,et al.  Neutrosophic Soft Matrix And It's Application in Solving Group Decision Making Problems from Medical Science , 2015 .

[175]  Said Broumi,et al.  Introduction to Neutrosophic Topological Spatial Region, Possible Application to GIS Topological Rules , 2014 .

[176]  Chris Cornelis,et al.  Intuitionistic fuzzy sets and interval-valued fuzzy sets: a critical comparison , 2003, EUSFLAT Conf..

[177]  F. Smarandache,et al.  On Neutrosophic Implications , 2014 .

[178]  Pabitra Kumar Maji,et al.  A Neutrosophic Soft Set Approach to a Decision Making Problem , 2013 .

[179]  W. B. Vasantha Kandasamy,et al.  Special Quasi Dual Numbers and Groupoids , 2012 .

[180]  Luige Vladareanu,et al.  Applications of Neutrosophic Logic to Robotics , 2015 .

[181]  Florentin Smarandache,et al.  Self Knowledge and Knowledge Communication , 2010 .

[182]  Florentin Smarandache,et al.  Cosine Similarity Measure of Interval Valued Neutrosophic Sets , 2014 .

[183]  Florentin Smarandache,et al.  FUZZY COGNITIVE MAPS AND NEUTROSOPHIC COGNITIVE MAPS , 2003, math/0311063.

[184]  Wen Ju Discrimination of Outer Membrane Proteins using Reformulated Support Vector Machine based on Neutrosophic Set , 2008 .

[185]  F. Smarandache Connections between Extension Logic and Refined Neutrosophic Logic , 2014 .

[186]  Fu Yuhua,et al.  Positive, Negative and Neutral Law of Universal Gravitation , 2009 .

[187]  Florentin Smarandache,et al.  New Operations over Interval Valued Intuitionistic Hesitant Fuzzy Set , 2014 .

[188]  Melvin Fitting,et al.  Kleene's Logic, Generalized , 1991, J. Log. Comput..

[189]  Shabir Muhammad,et al.  Soft Neutrosophic Groupoids and Their Generalization , 2014 .

[190]  Faruk Karaaslan,et al.  Neutrosophic soft sets with applications in decision making , 2014, ArXiv.

[191]  Florentin Smarandache,et al.  Neutrosophic Parametrized Soft Set Theory and Its Decision Making , 2014 .

[192]  Florentin Smarandache,et al.  Intuitionistic Neutrosophic Soft Set , 2013, ArXiv.

[193]  Florentin Smarandache,et al.  The Fifth Function of University: “Neutrosophic E-function” of Communication-Collaboration-Integration of University in the Information Age , 2013 .

[194]  Surapati Pramanik,et al.  TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment , 2014, Neural Computing and Applications.

[195]  Goutam Banerjee,et al.  Adaptive fuzzy cognitive maps vs neutrosophic cognitive maps: decision support tool for knowledge based institutions , 2008 .

[196]  Stefan Adrian Dumitru Contributii in dezvoltarea sistemelor de control neuronal al miscarii robotilor mobili autonomi , 2014 .

[197]  F. Smarandache,et al.  Soft neutrosophic semigroups and their generalization , 2013 .

[198]  Dănuț Adrian Bucur Contribuţii în Controlul Mișcării Sistemelor de Prehensiune Pentru Roboți și Mâini Umanoide Inteligente , 2014 .

[199]  Shabir Muhammad,et al.  Soft Neutrosophic Left Almost Semigroup , 2014 .

[200]  Surapati Pramanik,et al.  Cosine Similarity Measure Based Multi-attribute Decision-making with Trapezoidal Fuzzy Neutrosophic Numbers , 2015 .

[201]  F. Smarandache,et al.  Special Dual like Numbers and Lattices , 2012 .

[202]  B. Davvaz,et al.  On Neutrosophic Ideals of Neutrosophic BCI-Algebras , 2015 .

[203]  Jean Dezert,et al.  The Combination of Paradoxical, Uncertain, and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy Inference , 2004, ArXiv.

[204]  Swati Aggarwal,et al.  Neutrosophic modeling and control , 2010, 2010 International Conference on Computer and Communication Technology (ICCCT).

[205]  Kok Wai Wong,et al.  Lithofacies Classification from Well Log Data Using Neural Networks, Interval Neutrosophic Sets and Quantification of Uncertainty , 2008 .

[206]  A.A.A. Agboola,et al.  On Refined Neutrosophic Algebraic Structures , 2015 .

[207]  Sukanto Bhattacharya,et al.  Neutrosophic information fusion applied to financial market , 2003, Sixth International Conference of Information Fusion, 2003. Proceedings of the.

[208]  A. A. Salama,et al.  Generalized Neutrosophic Set and Generalized Neutrosophic Topological Spaces , 2013 .

[209]  Florentin Smarandache,et al.  Generalized Interval Neutrosophic Soft Set and its Decision Making Problem , 2014 .

[210]  Soft Neutrosophic Bigroup and Soft Neutrosophic N-Group , 2014 .

[211]  Neutrosophic routes in multiverse of communication , 2014 .

[212]  V. Jaiganesh,et al.  Intrusion Detection Using Neutrosophic Classifier , 2014 .

[213]  N. Saivaraju,et al.  Remedy for Effective Cure of Diseases using Combined Neutrosophic Relational Maps , 2011 .

[214]  K.Ilanthenral,et al.  Introduction to Linear Bialgebra , 2005, math/0508260.

[215]  SaidBroumi Facu On Fuzzy Soft Matrix Based on Reference Function , 2013 .

[216]  F. Smarandache,et al.  Soft Neutrosophic Loops and Their Generalization , 2014 .

[217]  Surapati Pramanik Cosine Similarity Measure Of Rough Neutrosophic Sets And Its Application In Medical Diagnosis , 2015 .

[218]  Mirela Teodorescu,et al.  A Unifying Field in Logics. Book Review , 2014 .

[219]  Said Broumi,et al.  Soft Interval –Valued Neutrosophic Rough Sets , 2015 .

[220]  A. A. Salama,et al.  Introduction to Image Processing via Neutrosophic Techniques , 2014 .

[221]  Smarandache Florentin,et al.  Neutrosophic Left Almost Semigroup , 2014 .

[222]  A STUDY ON NEUTROSOPHIC COGNITIVE MAPS (NCM) AND ITS APPLICATIONS , 2015 .

[223]  Rajshekhar Sunderraman,et al.  Interval Neutrosophic Logic , 2014 .

[224]  Peter H. Schmitt,et al.  Multiple-valued Logic , 2008 .

[225]  Florentin Smarandache,et al.  n-ary Fuzzy Logic and Neutrosophic Logic Operators , 2008, ArXiv.

[226]  T. Bharathi A Fuzzy Study on the Analysis of Cervical Cancer among women using Combined Disjoint Block Fuzzy Cognitive Maps (CDBFCMs) , 2014 .

[227]  Florentin Smarandache,et al.  n-Valued Refined Neutrosophic Logic and Its Applications to Physics , 2013, ArXiv.

[228]  Florentin Smarandache,et al.  New Operations on Interval Neutrosophic Sets , 2014 .

[229]  Jing Wang,et al.  Simplified neutrosophic linguistic normalized weighted Bonferroni mean operator and its application to multi-criteria decision-making problems , 2015 .

[230]  Florentin Smarandache,et al.  Introduction to Neutrosophic Measure, Neutrosophic Integral, and Neutrosophic Probability , 2013, ArXiv.

[231]  Mirela Teodorescu,et al.  An analitical extended book review. S. Frunză: Advertising constructs reality (2014) , 2015 .

[232]  F. Smarandache Strategy on T, I, F Operators. A Kernel Infrastructure in Neutrosophic Logic , 2014 .

[233]  Swati Aggarwal,et al.  From Fuzzification to Neutrosophication: A Better Interface between Logic and Human Reasoning , 2010, 2010 3rd International Conference on Emerging Trends in Engineering and Technology.

[234]  F. Smarandache,et al.  Neutrosophic Refined Similarity Measure Based on Cosine Function , 2014 .

[235]  Z. Sahnoun,et al.  A Tool for Qualitative Causal Reasoning On Complex Systems , 2010 .

[236]  K. Jeganathan,et al.  MRI denoising based on neutrosophic wiener filtering , 2012, 2012 IEEE International Conference on Imaging Systems and Techniques Proceedings.

[237]  Smarandache Florentin Neutrosophic Principle of Interconvertibility Matter-Energy- Information , 2015 .

[238]  Florentin Smarandache,et al.  On Rugina’s system of thought , 2000, math/0010098.

[239]  Florentin Smarandache,et al.  Interval Neutrosophic Rough Set , 2014 .

[240]  Florentin Smarandache,et al.  Neutrosophic Crisp Open Set and Neutrosophic Crisp Continuity via Neutrosophic Crisp Ideals , 2014 .

[241]  Pinaki Majumdar,et al.  On similarity and entropy of neutrosophic sets , 2013, J. Intell. Fuzzy Syst..

[242]  K. Pérez-Teruel,et al.  Neutrosophic Logic for Mental Model Elicitation and Analysis , 2014 .

[243]  Anjan Mukherjee,et al.  A New Method of Measuring Similarity Between Two Neutrosophic Soft Sets and Its Application in Pattern Recognition Problems , 2015 .

[244]  Surapati Pramanik,et al.  COTANGENT SIMILARITY MEASURE OF ROUGH NEUTROSOPHIC SETS AND ITS APPLICATION TO MEDICAL DIAGNOSIS , 2015 .

[245]  Florentin Smarandache,et al.  Neutrosophic set - a generalization of the intuitionistic fuzzy set , 2004, 2006 IEEE International Conference on Granular Computing.

[246]  Florentin Smarandache,et al.  Introduction to Neutrosophic Statistics , 2014, ArXiv.

[247]  Jun Ye Single valued neutrosophic cross-entropy for multicriteria decision making problems , 2014 .

[248]  Vasile Patrascu Neutrosophic information in the framework of multi-valued representation , 2014, ArXiv.

[249]  F. Smarandache Neutrosofia, o Nouă Ramură a Filosofiei , 2012 .

[250]  B. Giri,et al.  Entropy Based Grey Relational Analysis Method for Multi- Attribute Decision Making under Single Valued Neutrosophic Assessments , 2014 .

[251]  Francisco Gallego Lupiáñez,et al.  On neutrosophic paraconsistent topology , 2010, Kybernetes.

[252]  Neutrosophic Axiomatic System , 2015 .

[253]  Zhiming Zhang,et al.  A novel method for single-valued neutrosophic multi-criteria decision making with incomplete weight information , 2014 .

[254]  K. Pérez-Teruel,et al.  Neutrosophic cognitive maps for modeling project portfolio interdependencies , 2015 .

[255]  Surapati Pramanik,et al.  NEUTROSOPHIC REFINED SIMILARITY MEASURE BASED ON COTANGENT FUNCTION AND ITS APPLICATION TO MULTI-ATTRIBUTE DECISION MAKING , 2015 .

[256]  André Rogatko,et al.  Neutrosophic Relational Data Model , 2007, ArXiv.

[257]  Shawkat Alkhazaleh,et al.  Neutrosophic Vague Set Theory , 2015 .

[258]  F. Smarandache,et al.  Soft Nuetrosophic Ring and Soft Neutrosophic Field , 2014 .

[259]  Florentin Smarandache,et al.  Degree of Negation of an Axiom , 2009, 0905.0719.

[260]  Jun Ye,et al.  Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment , 2013, Int. J. Gen. Syst..

[261]  F. Smarandache,et al.  Communication vs. Information, an Axiomatic Neutrosophic Solution , 2013 .

[262]  F. Smarandache,et al.  A Comparison of Combined Overlap Block Fuzzy Cognitive Maps (COBFCM) and Combined Overlap Block Neutrosophic Cognitive Map (COBNCM) in finding the hidden patterns and indeterminacies in Psychological Causal Models: Case Study of ADHD , 2014 .

[263]  Mariusz Bajger,et al.  Automatic Tuning of MST Segmentation of Mammograms for Registration and Mass Detection Algorithms , 2009, 2009 Digital Image Computing: Techniques and Applications.