Complex Neutrosophic Soft Set

In this paper, we propose the complex neutrosophic soft set model, which is a hybrid of complex fuzzy sets, neutrosophic sets and soft sets. The basic set theoretic operations and some concepts related to the structure of this model are introduced, and illustrated. An example related to a decision making problem involving uncertain and subjective information is presented, to demonstrate the utility of this model.

[1]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[2]  Abd Ulazeez M. Alkouri,et al.  Complex Atanassov's Intuitionistic Fuzzy Relation , 2013 .

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

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

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

[6]  Jun Ye,et al.  Single-Valued Neutrosophic Minimum Spanning Tree and Its Clustering Method , 2014, J. Intell. Syst..

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

[8]  Athar Kharal,et al.  On Fuzzy Soft Sets , 2009, Adv. Fuzzy Syst..

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

[10]  F. Smarandache,et al.  SINGLE VALUED NEUTROSOPHIC GRAPHS , 2016 .

[11]  Florentin Smarandache,et al.  On Strong Interval Valued Neutrosophic Graphs , 2016 .

[12]  Krassimir T. Atanassov,et al.  Intuitionistic Fuzzy Sets - Theory and Applications , 1999, Studies in Fuzziness and Soft Computing.

[13]  Ganeshsree Selvachandran,et al.  Complex vague soft sets and its distance measures , 2016, J. Intell. Fuzzy Syst..

[14]  Florentin Smarandache,et al.  Interval Valued Bipolar Neutrosophic Sets and Their Application in Pattern Recognition , 2016 .

[15]  F. Smarandache,et al.  An Introduction to Bipolar Single Valued Neutrosophic Graph Theory , 2016 .

[16]  SelvachandranGaneshsree,et al.  Relations between complex vague soft sets , 2016 .

[17]  Abdul Razak Salleh,et al.  Relations between complex vague soft sets , 2016, Appl. Soft Comput..

[18]  I. Turksen.  Interval valued fuzzy sets based on normal forms , 1986 .

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

[20]  Rakesh Kumar Bajaj,et al.  On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies , 2014 .

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

[22]  Florentin Smarandache,et al.  The theory of neutrosophic cubic sets and their applications in pattern recognition , 2016, J. Intell. Fuzzy Syst..

[23]  Swati Aggarwal,et al.  Extension to fuzzy logic representation: Moving towards neutrosophic logic - A new laboratory rat , 2013, 2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[24]  Gaurav,et al.  Hybrid model for medical diagnosis using Neutrosophic Cognitive Maps with Genetic Algorithms , 2015, 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[25]  Florentin Smarandache,et al.  Single valued neutrosophic graphs: Degree, order and size , 2016, 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE).

[26]  Abdul Razak Salleh,et al.  Complex intuitionistic fuzzy sets , 2012 .

[27]  Florentin Smarandache,et al.  On Bipolar Single Valued Neutrosophic Graphs , 2016 .

[28]  Florentin Smarandache,et al.  Bipolar neutrosophic sets and their application based on multi-criteria decision making problems , 2015, 2015 International Conference on Advanced Mechatronic Systems (ICAMechS).

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

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

[31]  K. Atanassov,et al.  Interval-Valued Intuitionistic Fuzzy Sets , 2019, Studies in Fuzziness and Soft Computing.