Comparative Study of Intuitionistic and Generalized Neutrosophic Soft Sets

Authors: Debabrata Mandal

Abstract:

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: AND, OR, Union, Intersection, Extension, Decision making.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1100511

References:

[1] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986) 87 - 96.
[2] M. Bhowmik, M. Pal, Intuitionistic neutrosophic set, J. of Information and Computing Science Vol. 4, No. 2(2009) 142 - 152.
[3] F. Feng, Y. B. Jun, X. Y. Liu and L. F. Li, An adjustable approach to fuzzy soft set based decision making, J. Comput. Appl. Math. 234 (2010) 10 - 20.
[4] P. K. Maji, Neutrosophic soft set, Annals of Fuzzy Mathematics and Informatics Vol. 5, No. 1, (2013) 157 - 168
[5] P. K. Maji, R. Biswas, and A. R. Roy, An application of soft sets in a decision making problem, Comput. Math. Appl. 44 (2002) 1077 - 1083.
[6] D. Molodtsov, Soft Set Theory-First Results, Comput. Math. Appl. 37 (1999) 19 - 31.
[7] B. Said, F. Smarandache, Intuitionistic neutrosophic soft set, Journal of Information and Computing Science Vol. 8, No. 2(2013) 130 - 140.
[8] F. Smarandache, Neutrosophic set, a generalisation of the intuitionistic fuzzy sets, Int. J. Pure Appl. Math. 24 (2005) 287 - 297.
[9] L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965) 338 - 353.