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Comparative Study Of Intuitionistic And Generalized Neutrosophic Soft Sets

Authors: Debabrata Mandal;

Comparative Study Of Intuitionistic And Generalized Neutrosophic Soft Sets

Abstract

{"references": ["K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986)\n87 - 96.", "M. Bhowmik, M. Pal, Intuitionistic neutrosophic set, J. of Information\nand Computing Science Vol. 4, No. 2(2009) 142 - 152.", "F. Feng, Y. B. Jun, X. Y. Liu and L. F. Li, An adjustable approach to\nfuzzy soft set based decision making, J. Comput. Appl. Math. 234 (2010)\n10 - 20.", "P. K. Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and\nInformatics Vol. 5, No. 1, (2013) 157 - 168", "P. K. Maji, R. Biswas, and A. R. Roy, An application of soft sets in a\ndecision making problem, Comput. Math. Appl. 44 (2002) 1077 - 1083.", "D. Molodtsov, Soft Set Theory-First Results, Comput. Math. Appl. 37\n(1999) 19 - 31.", "B. Said, F. Smarandache, Intuitionistic neutrosophic soft set, Journal of\nInformation and Computing Science Vol. 8, No. 2(2013) 130 - 140.", "F. Smarandache, Neutrosophic set, a generalisation of the intuitionistic\nfuzzy sets, Int. J. Pure Appl. Math. 24 (2005) 287 - 297.", "L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338 - 353."]}

The aim of this paper is to define several operations such as Intersection, Union, OR, AND operations of intuitionistic (resp. generalized) neutrosophic soft sets in the sense of Maji and compare these with intuitionistic (resp. generalized) neutrosophic soft sets in the sense of Said et al via examples. At the end of the paper, a new concept - extension is introduced, which can be used to refine our choices in case of decision making.

Keywords

Decision making., OR, Union, AND, neutrosophic soft sets, decision making, Intersection, Extension, neutrosophic soft sets

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