Mathematics and Computer Science, Volume 2

24An Approach to Ranking of Single Valued Neutrosophic Fuzzy Numbers Based on (α, β, γ) Cut Sets

Sunayana Saikia

Department of Mathematics, Cotton University, Guwahati, Assam, India

Abstract

In most real-world applications, single-valued neutrosophic fuzzy numbers are employed to make judgments in a fuzzy environment. As a result, single-valued neutrosophic fuzzy number ranking is crucial. This paper proposes a novel approach for ranking single-valued neutrosophic fuzzy numbers. The approach was created by combining the α, β, and γ cuts of neutrosophic fuzzy numbers in a convex way. In addition, the proposed approach has been used to prove a number of theorems. This paper also offers a number of numerical examples.

Keywords: Single valued neutrosophic fuzzy numbers, α-cut set, β-cut set, γ-cut set, ranking of neutrosophic fuzzy numbers, convex combination

24.1 Introduction

Real-life phenomena cannot be classified by real numbers due to the existence of linguistic concepts. Fuzzy numbers can be used to rate such issues because fuzzy numbers may deal with verbal words that are ambiguous or vague. As a result, numerous ways for ranking fuzzy numbers have been presented at various times. In addition, the ordering of fuzzy numbers has been thoroughly examined. In the literature, there are several research articles that describe various strategies for sorting fuzzy numbers. In a nutshell, no universally accepted method for sorting fuzzy numbers exists. Existing methods have been ...