Work

Distance and similarity measures of Pythagorean fuzzy sets and their applications to multiple criteria group decision making

Year: 2018

Type: article

Abstract: The main feature of Pythagorean fuzzy sets is that it is characterized by five parameters, namely membership degree, nonmembership degree, hesitancy degree, strength of commitment about membership, and direction of commitment. In this paper, we first investigate four existing comparison methods for ranking Pythagorean fuzzy sets and point out by examples that the method proposed by Yager, which considers the influence fully of the five parameters, is more efficient than the other ones. Later, we propose a variety of distance measures for Pythagorean fuzzy sets and Pythagorean fuzzy numbers, which take into account the five parameters of Pythagorean fuzzy sets. Based on the proposed distance measures, we present some similarity measures of Pythagorean fuzzy sets. Furthermore, a multiple criteria Pythagorean fuzzy group decision-making approach is proposed. Finally, a numerical example is provided to illustrate the validity and applicability of the presented group decision-making method.

Source: International Journal of Intelligent Systems

DOI: 10.1002/int.22027

Authors: Wenyi Zeng, Deqing Li, Qian Yin

Institution: Beijing Normal University

Language: English

Topic: Multi-Criteria Decision Making

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Awards: 二维多光纤光谱图像处理技术研究, 基于区间值信息测度的区间值模糊控制研究