Some Score Functions on Fermatean Fuzzy Sets and Its Application to Bride Selection Based on TOPSIS Method

Laxminarayan Sahoo
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引用次数: 18

Abstract

The aim of this paper is to propose some score functions for the fruitful ranking of fermatean fuzzy sets (FFSs) and fermatean fuzzy TOPSIS method based on proposed score functions. fermatean fuzzy sets proposed by Senapati and Yager can handle uncertain information more easily in the process of multi-criteria decision making (MCDM). In this paper, the authors have proposed three newly improved score functions for effective ranking of fermatean fuzzy sets. Here, they have applied the proposed score function to calculate the separation measure of each alternative from the positive and negative ideal solutions to determine the relative closeness coefficient. Based on different types of score functions, they have employed the TOPSIS method to solve the multi-criteria decision-making (MCDM) problem in which all preference information provided by the decision makers is expressed in terms of fermatean fuzzy decision matrices. Finally, a numerical example for selecting the bride form matrimonial site has been considered to illustrate the proposed method.
fermatan模糊集上的一些分数函数及其在TOPSIS法新娘选择中的应用
本文的目的是提出一些分数函数用于fermatan模糊集(FFSs)的有效排序,以及基于所提出的分数函数的fermatan模糊TOPSIS方法。Senapati和Yager提出的fermatean模糊集可以更容易地处理多准则决策过程中的不确定性信息。本文提出了三种改进的分数函数,用于fermatean模糊集的有效排序。在这里,他们应用提出的分数函数来计算每个备选方案与正负理想解的分离度量,以确定相对接近系数。基于不同类型的得分函数,他们采用TOPSIS方法解决了多准则决策(MCDM)问题,其中决策者提供的所有偏好信息都用模糊决策矩阵表示。最后,以一个婚嫁地点选择新娘的数值例子来说明所提出的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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