Title: Fuzzy parameterised single valued neutrosophic soft expert set theory and its application in decision making

Authors: Ashraf Al-Quran; Nasruddin Hassan

Addresses: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor DE, Malaysia ' School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor DE, Malaysia

Abstract: In this paper, we propose the theory of fuzzy parameterised single valued neutrosophic soft expert set by giving an importance degree for each element in the set of parameters and define some related concepts pertaining to this notion as well as the basic operations of complement, subset, union, intersection, AND and OR along with illustrative examples. The basic properties and relevant laws pertaining to this concept such as the De Morgan's laws are proved. A comparison between our proposed method and other methods is made to illustrate the advantages of our proposed method and its ability to handle problems involving imprecise, indeterminacy and inconsistent data, which makes it more accurate and realistic than other methods. Lastly, this concept is applied to a decision making problem and its effectiveness is demonstrated using an illustrative example.

Keywords: fuzzy set theory; fuzzy logic; parameterised soft expert sets; single valued neutrosophic sets; decision making; parameter sets.

DOI: 10.1504/IJADS.2016.080121

International Journal of Applied Decision Sciences, 2016 Vol.9 No.2, pp.212 - 227

Available online: 02 Nov 2016 *

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