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.

Highlights

  • In some real-life problems in expert system, belief system, information fusion and so on, we must consider the truth-membership as well as the falsity-membership for proper description of an object in uncertain, ambiguous environment

  • Our objective is to introduce the concept of neutrosophic soft expert set

  • Using the concept of neutrosophic set we introduce the concept of neutrosophic soft expert set

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Summary

Introduction

In some real-life problems in expert system, belief system, information fusion and so on, we must consider the truth-membership as well as the falsity-membership for proper description of an object in uncertain, ambiguous environment. Alkhazaleh and Salleh [11] generalized the concept of a soft expert set to fuzzy soft expert set, which is a more effective and useful. They defined its basic operations, namely complement, union, intersection, AND and OR, and gave. They studied a mapping on fuzzy soft expert classes and its properties.

Preliminaries
Neutrosophic Soft Expert Set
Example
Definition
3.10. Definition
Proposition
3.11. Definition
An Application of Neutrosophic Soft Expert Set
Conclusion
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