Representation of Graphs Using Intuitionistic Neutrosophic Soft Sets

The concept of intuitionistic neutrosophic soft sets can be utilized as a mathematical tool to deal with imprecise and unspecified information. In this paper, we apply the concept of intuitionistic neutrosophic soft sets to graphs. We introduce the concept of intuitionistic neutrosophic soft graphs, and present applications of intuitionistic neutrosophic soft graphs in multiple-attribute decision-making problems. We also present an algorithm of our proposed method.

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

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

[3]  Shyamal Kumar Mondal,et al.  Different Types of Matrices in Intuitionistic Fuzzy Soft Set Theory and Their Application in Predicting Terrorist Attack , 2012 .

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

[5]  M. Akram,et al.  Operations on Soft Graphs , 2015 .

[6]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[7]  T. Pavlidis,et al.  Fuzzy sets and their applications to cognitive and decision processes , 1977 .

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

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

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

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

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

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

[14]  Yanhui Guo,et al.  New neutrosophic approach to image segmentation , 2009, Pattern Recognit..

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

[16]  S. K. Samanta,et al.  SIMILARITY MEASURE OF SOFT SETS , 2008 .

[17]  Athar Kharal,et al.  DISTANCE AND SIMILARITY MEASURES FOR SOFT SETS , 2010, 1006.4904.

[18]  Hai-Long Yang,et al.  Computers and Mathematics with Applications Kernels and Closures of Soft Set Relations, and Soft Set Relation Mappings , 2022 .

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

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

[21]  Muhammad Akram,et al.  Neutrosophic soft graphs with application , 2017, J. Intell. Fuzzy Syst..

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

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

[24]  Muhammad Akram,et al.  Attribute analysis of information systems based on elementary soft implications , 2014, Knowl. Based Syst..

[25]  Prabir Bhattacharya,et al.  Some remarks on fuzzy graphs , 1987, Pattern Recognit. Lett..

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

[27]  Ridvan Sahin,et al.  On similarity and entropy of neutrosophic soft sets , 2014, J. Intell. Fuzzy Syst..

[28]  M. Akram,et al.  Intuitionistic fuzzy soft graphs with applications , 2016, Journal of Applied Mathematics and Computing.

[29]  D. A. Molodtsov,et al.  Soft sets theory-based optimization , 2007 .

[30]  Lotfi A. Zadeh,et al.  Similarity relations and fuzzy orderings , 1971, Inf. Sci..

[31]  John N. Mordeson,et al.  Fuzzy Graphs and Fuzzy Hypergraphs , 2000, Studies in Fuzziness and Soft Computing.

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

[33]  Naim Çagman,et al.  Soft matrix theory and its decision making , 2010, Comput. Math. Appl..

[34]  Muhammad Akram,et al.  Novel intuitionistic fuzzy soft multiple-attribute decision-making methods , 2016, Neural Computing and Applications.

[35]  Huda Mutab Al Mutab Fuzzy Graphs , 2019, JOURNAL OF ADVANCES IN MATHEMATICS.

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

[37]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..