Abstract

Extended TODIM Based on Cumulative Prospect Theory for Picture Fuzzy Multiple Attribute Group Decision Making

Highlights

  • Multi-attribute decision making method (MADM) and multi-attribute group decision making method (MAGDM) are two essential research directions in the field of modern management decision making

  • We review a number of fundamental concepts and methods in regard to picture fuzzy sets as well as extend TODIM based on CPT (Cumulative Prospect Theory)

  • The TODIM method just focuses on multi-attribute decision making (MADM) in real number, and doesn’t distinguish positive and negative attributes

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Summary

Introduction

Multi-attribute decision making method (MADM) and multi-attribute group decision making method (MAGDM) are two essential research directions in the field of modern management decision making. Compared with other kinds of fuzzy sets, PFSs can delineate the conduct of decision-makers in more detail and are closer to human thinking and cognition of fuzzy things It has more advantages in solving multi-attribute decision making (MADM). We hardly find the use of improved TODIM method based on Cumulative Prospect Theory to study the multi-attribute group decision making (MAGDM) problem in picture fuzzy environment. For achieving this goal, this article pays attention to the psychology of decision makers through a more realistic way to analyse and brings in the entropy weight method to obtain the original weighting vector of attributes, eliminating the subjectivity of the information of attribute weight directly given by the decision maker.

Picture Fuzzy Sets and Picture Fuzzy Numbers
Extended TODIM for Picture Fuzzy MAGDM Based on Cumulative Prospect Theory
Numerical Example for Picture Fuzzy MAGDM
Comparative Analysis
Method
Conclusions
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