Neutrosophic Soft Expert Multiset and Their Application to Multiple Criteria Decision Making

In this paper, we have investigated neutrosophic soft expert multisets (NSEMs) in detail. The concept of NSEMs is introduced. Several operations have been defined for them and their important algebraic properties are studied. Finally, we define a NSEMs aggregation operator to construct an algorithm for a NSEM decision-making method that allows for a more efficient decision-making process.

[1]  P. A. Ejegwa On Intuitionistic Fuzzy Multisets Theory and Its Application in Diagnostic Medicine , 2017 .

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

[3]  Przemyslaw Kazienko,et al.  Fuzzy multi-objective modeling of effectiveness and user experience in online advertising , 2016, Expert Syst. Appl..

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

[5]  Jun Ye,et al.  The Cosine Measure of Single-Valued Neutrosophic Multisets for Multiple Attribute Decision-Making , 2018, Symmetry.

[6]  Mehmet Sahin,et al.  Q-Neutrosophic Soft Expert Set and its Application in Decision Making , 2018, Int. J. Fuzzy Syst. Appl..

[7]  Nasruddin Hassan,et al.  Possibility Fuzzy Soft Set , 2011, Adv. Decis. Sci..

[8]  Nasruddin Hassan,et al.  Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making , 2018, Symmetry.

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

[10]  Shawkat Alkhazaleh,et al.  Fuzzy Soft Expert Set and Its Application , 2014 .

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

[12]  Robert John,et al.  Multi-fuzzy sets and their correspondence to other sets , 2016 .

[13]  Nasruddin Hassan,et al.  Soft Multisets Theory , 2011 .

[14]  Nasruddin Hassan,et al.  Q-fuzzy soft matrix and its application , 2014 .

[15]  Mohammad Jalali Varnamkhasti,et al.  A hybrid of adaptive neuro-fuzzy inference system and genetic algorithm , 2013, J. Intell. Fuzzy Syst..

[16]  Khaleed Alhazaymeh,et al.  MAPPING ON GENERALIZED VAGUE SOFT EXPERT SET , 2014 .

[17]  László T. Kóczy,et al.  Signatures: Definitions, operators and applications to fuzzy modelling , 2012, Fuzzy Sets Syst..

[18]  Mehmet Sahin,et al.  Isomorphism theorems for soft G-modules , 2018, Afrika Matematika.

[19]  Nasruddin Hassan,et al.  Multiparameterized Soft Set , 2012 .

[20]  Nasruddin Hassan,et al.  Multi Q-fuzzy soft expert set and its application , 2016, J. Intell. Fuzzy Syst..

[21]  A. Kılıçman,et al.  On neutrosophic soft lattices , 2017 .

[22]  Mehmet Sahin,et al.  A new approach for multi-attribute decision-making problems in bipolar neutrosophic sets , 2018 .

[23]  Irfan Deli,et al.  Intuitionistic trapezoidal fuzzy multi-numbers and its application to multi-criteria decision-making problems , 2019 .

[24]  Nasruddin Hassan,et al.  Properties on the multi Q-fuzzy soft matrix , 2014 .

[25]  Jesús Medina,et al.  Multi-adjoint t-concept lattices , 2010, Inf. Sci..

[26]  Nasruddin Hassan,et al.  Neutrosophic vague soft multiset for decision under uncertainty , 2018 .

[27]  Xiaohong Zhang,et al.  New Similarity Measures of Single-Valued Neutrosophic Multisets Based on the Decomposition Theorem and Its Application in Medical Diagnosis , 2018, Symmetry.

[28]  Mehmet Sahin,et al.  Time - Neutrosophic Soft Expert Sets and Its Decision Making Problem , 2018, MATEMATIKA.

[29]  Nasruddin Hassan,et al.  Q-fuzzy soft set , 2014 .

[30]  Nasruddin Hassan,et al.  Operations on Q-fuzzy soft set , 2014 .

[31]  Nasruddin Hassan,et al.  Multi q-fuzzy soft set and its application , 2015 .

[32]  Nasruddin Hassan,et al.  Multi Q-fuzzy parameterized soft set and its application , 2014, J. Intell. Fuzzy Syst..

[33]  Irfan Deli,et al.  Refined Neutrosophic Sets and Refined Neutrosophic Soft Sets: Theory and Applications , 2016 .

[34]  Payman Moallem,et al.  Fuzzy Inference System Optimized by Genetic Algorithm for Robust Face and Pose Detection , 2015 .

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

[36]  Nasruddin Hassan,et al.  Neurogenetic Algorithm for Solving Combinatorial Engineering Problems , 2012, J. Appl. Math..

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

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

[39]  Khaleed Alhazaymeh,et al.  Vague soft expert set theory , 2013 .

[40]  Vakkas Uluçay,et al.  Neutrosophic Soft Expert Sets , 2015 .

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

[42]  Pedro Alonso,et al.  Basic operations for fuzzy multisets , 2018, Int. J. Approx. Reason..

[43]  Niu Gang Soft intuitionistic fuzzy sets , 2012 .