Correlation Measure for Neutrosophic Refined Sets and its application in Medical Diagnosis

In this paper, the correlation measure of neutrosophic refined(multi-) sets is pro- posed. The concept of this correlation measure of neutrosophic refined sets is the extension of correlation measure of neutrosophic sets and intuitionistic fuzzy multi-sets. Finally, using the correlation of neutrosophic refined set measure, the application of medical diagnosis and pattern recognition are presented.

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

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

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

[4]  Irfan Deli,et al.  Products of FP-Soft Sets and their Applications , 2012 .

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

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

[7]  D. Molodtsov.  Soft set theory—First results , 1999 .

[8]  Ranjit Biswas,et al.  Neutrosophic Relational Database Decomposition , 2011 .

[9]  Jun Ye.  Vector Similarity Measures of Simplified Neutrosophic Sets and Their Application in Multicriteria Decision Making , 2014 .

[10]  Said Broumi,et al.  Generalized Neutrosophic Soft Set , 2013, ArXiv.

[11]  Mohuya B. Kar,et al.  Group multi-criteria decision making using intuitionistic multi-fuzzy sets , 2013 .

[12]  P. Rajarajeswari P. Rajarajeswari,et al.  On Distance and Similarity Measures of Intuitionistic Fuzzy Multi Set , 2013 .

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

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

[15]  P. Rajarajeswari,et al.  INTUITIONISTIC FUZZY MULTI RELATIONS , 2013 .

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

[17]  Said Broumi,et al.  Neutrosophic soft sets and neutrosophic soft matrices based on decision making , 2014 .

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

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

[20]  Francisco Gallego Lupiáñez,et al.  On neutrosophic topology , 2008, Kybernetes.

[21]  T. V. Ramakrishnan,et al.  Multi-fuzzy Subgroups , 2011 .

[22]  F. Smarandache,et al.  Neutrosophic Methods in General Relativity , 2010 .

[23]  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.

[24]  Irfan Deli,et al.  Intuitionistic fuzzy parameterized soft set theory and its decision making , 2013, Appl. Soft Comput..

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

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

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

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

[29]  Swati Aggarwal,et al.  Proposal for Applicability of Neutrosophic Set Theory in Medical AI , 2011 .

[30]  Apostolos Syropoulos,et al.  On Generalized Fuzzy Multisets and their Use in Computation , 2012, ArXiv.

[31]  P. A. Ejegwa,et al.  Intuitionistic Fuzzy Multiset (IFMS) In Binomial Distributions , 2014 .

[32]  Florentin Smarandache,et al.  A unifying field in logics : neutrosophic logic : neutrosophy, neutrosophic set, neutrosophic probability , 2020 .

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

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

[35]  P. Rajarajeswari,et al.  A Study of Normalized Geometric and Normalized Hamming Distance Measures in Intuitionistic Fuzzy Multi Sets , 2013 .

[36]  Sunil Jacob John,et al.  Intuitionistic Fuzzy Multisets And Its Application in Medical Diagnosis , 2012 .

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

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

[40]  T. Ramakrishnan,et al.  Multi-fuzzy extension of crisp functions using bridge functions , 2011 .

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

[42]  Ranjit Biswas,et al.  Deployment of neutrosophic technology to retrieve answer for queries posed in natural language , 2010 .

[43]  R. Yager.  ON THE THEORY OF BAGS , 1986 .

[44]  Peide Liu,et al.  Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean , 2014, Neural Computing and Applications.

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

[46]  Peide Liu,et al.  An Extended TOPSIS Method for the Multiple Attribute Decision Making Problems Based on Interval Neutrosophic Set , 2014 .

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

[48]  Irfan Deli,et al.  MEANS OF FP-SOFT SETS AND THEIR APPLICATIONS , 2012 .

[49]  P. Rajarajeswari,et al.  CORRELATION MEASURE FOR INTUITIONISTIC FUZZY MULTI SETS , 2014 .

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

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

[52]  Jun Ye,et al.  Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making , 2014, J. Intell. Fuzzy Syst..

[53]  T. Ramakrishnan,et al.  Multi-Fuzzy Sets , 2013 .

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

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

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

[57]  R. Muthuraj,et al.  Multi - Fuzzy Group and its Level Subgroups , 2013 .