Neutrosophic Soft Expert Sets

Abstract

In this paper we introduce the concept of neutrosophic soft expert set (NSES). We also define its basic operations, namely complement, union, intersection, AND and OR, and study some of their properties. We give examples for these concepts. We give an application of this concept in a decision-making problem.

Share and Cite:

Şahin, M. , Alkhazaleh, S. and Uluçay, V. (2015) Neutrosophic Soft Expert Sets. Applied Mathematics, 6, 116-127. doi: 10.4236/am.2015.61012.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Atanassov, K. (1986) Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems, 20, 87-96.
http://dx.doi.org/10.1016/S0165-0114(86)80034-3
[2] Smarandache, F. (2005) Neutrosophic Set, a Generalization of the Intuitionistic Fuzzy Sets. International Journal of Pure and Applied Mathematics, 24, 287-297.
[3] Smarandache, F. (1998) A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic. American Research Press, Rehoboth.
[4] Molodtsov, D.A. (1999) Soft Set Theory-First Results. Computers and Mathematics with Applications, 37, 19-31.
http://dx.doi.org/10.1016/S0898-1221(99)00056-5
[5] Chen, D., Tsang, E.C.C., Yeung, D.S. and Wang, X. (2005) The Parameterization Reduction of Soft Sets and Its Application. Computers and Mathematics with Applications, 49, 757-763.
http://dx.doi.org/10.1016/j.camwa.2004.10.036
[6] Maji, P.K., Roy, A.R. and Biswas, R. (2003) Soft Set Theory. Computers and Mathematics with Applications, 45, 555-562.
http://dx.doi.org/10.1016/S0898-1221(03)00016-6
[7] Maji, P.K. (2013) Neutrosophic Soft Set. Computers and Mathematics with Applications, 45, 555-562.
http://dx.doi.org/10.1016/S0898-1221(03)00016-6
[8] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Possibility Fuzzy Soft Set. Advances in Decision Sciences, 2011, Article ID: 479756.
http://dx.doi.org/10.1155/2011/479756
[9] Alkhazaleh, S., Salleh, A.R. and Hassan, N. (2011) Fuzzy Parameterized Interval-Valued Fuzzy Soft Set. Applied Mathematical Sciences, 5, 3335-3346.
[10] Alkhazaleh, S. and Salleh, A.R. (2011) Soft Expert Sets. Advances in Decision Sciences, 2011, Article ID: 757868.
http://dx.doi.org/10.1155/2011/757868
[11] Alkhazaleh, S. and Salleh, A.R. (2014) Fuzzy Soft Expert Set and Its Application. Applied Mathematics, 5, 1349-1368.
http://dx.doi.org/10.4236/am.2014.59127

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.