Q-Neutrosophic Soft Expert Set and its Application in Decision Making

Nasruddin Hassan, Vakkas Uluçay and Mehmet Şahin
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Nasruddin Hassan: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia
Vakkas Uluçay: Department of Mathematics, Gaziantep University, Gaziantep, Turkey
Mehmet Şahin: Department of Mathematics, Gaziantep University, Gaziantep, Turkey

International Journal of Fuzzy System Applications (IJFSA), 2018, vol. 7, issue 4, 37-61

Abstract: This article describes how Smarandache defined neutrosophic sets to handle problems involving incomplete, indeterminacy and awareness of inconsistency knowledge, and is further developed to neutrosophic soft expert sets by Sahin et al. Adam and Hassan defined multi Q-fuzzy soft sets as an extension to fuzzy soft sets and gave its applications. This article will extend this further by presenting a novel concept of Q-neutrosophic soft expert sets, and define the associated related concepts and basic operations of complement, subset, union, intersection, AND and OR. This novel concept enables the single dimensionality of soft expert sets to be extended to two dimensions. Then, this article constructs an algorithm based on this concept. The following will illustrate the feasibility of the new method by an example. Finally, a comparison of the proposed method to existing methods is furnished to verify the effectiveness of the novel concept.

Date: 2018
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