Dual Hesitant Pythagorean Fuzzy Hamy Mean Operators in Multiple Attribute Decision Making

Guiwu Wei,Jie Wang,Yu Wei,Cun Wei,Yi Zhang

doi:10.1109/access.2019.2924974

Abstract

To fuse the information in dual-hesitant Pythagorean fuzzy sets (DHPFSs) more effectively, in this paper, some dual hesitant Pythagorean fuzzy Hamy mean (DHPFHM) operators, which can consider the relationships between being fused arguments, are defined and studied. Afterward, the defined aggregation operators are used to multiple attribute decision-making (MADM) with dual-hesitant Pythagorean fuzzy elements (DHPFEs), and the MADM decision-making model is developed. In accordance with the defined operators and the built model, the dual-hesitant Pythagorean fuzzy weighted Hamy mean (DHPFWHM) operator and the dual-hesitant Pythagorean fuzzy weighted dual Hamy mean (DHPFWDHM) operator are applied to deal with green supplier selection in supply chain management, and the availability and superiority of the proposed operators are analyzed by comparing with some existing approaches. The method presented in this paper can effectually solve the MADM problems, which the decision-making information is expressed by DHPFEs and the attributes are interactive.

Highlights

In real-life decision making environment, it’s difficult for decision makers (DMs) to give evaluate information by using exact real numbers
In complicated decision-making environment, the decision maker’s risk attitude is an important factor to think about, our methods can make this come true by altering the parameters k whereas the dual hesitant Pythagorean fuzzy weighted average (DHPFWA) and dual hesitant Pythagorean fuzzy weighted geometric (DHPFWG) operators presented by Wei and Lu [51] don’t have the ability that dynamic adjust to the parameter according to the decision maker’s risk attitude, so it is difficult to solve the risk multiple attribute decision making in real practice
The dual hesitant Pythagorean fuzzy elements (DHPFEs) have applied the advantages of DHFSs and Pythagorean fuzzy set (PFS)

Summary

INTRODUCTION

In real-life decision making environment, it’s difficult for decision makers (DMs) to give evaluate information by using exact real numbers. Zhang [18] combined the interval-valued intuitionistic fuzzy set and geometric Bonferroni means to define some new aggregation operators and applied them into multiple attribute decision making problems. Khan et al [29] studied MADM problems under Pythagorean hesitant fuzzy environment. The mainly contribution of this manuscript is to introduce some more reasonable aggregation operator for multiple attribute decision making (MADM) problems, and the way to express evaluation information we proposed is more scientific and effective.

DUAL HESITANT PYTHAGOREAN FUZZY SET

THE DHPFHM AGGREGATION OPERATOR Definition 7

THE DHPFWHM AGGREGATION OPERATOR

Cnk k

AN APPROACH TO MADM WITH DHPF

CONCLUSION