The maximizing deviation method based on interval-valued Pythagorean fuzzy weighted aggregating operator for multiple criteria group decision analysis
type: Item
instance of: scholarly article
title: The maximizing deviation method based on interval-valued Pythagorean fuzzy weighted aggregating operator for multiple criteria group decision analysis
zbMATH Open document ID: 1418.91165
DOI: 10.1155/2015/746572
author: Wei Liang
author: Xiaolu Zhang
author: M.-F. Liu
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: As a new extension of Pythagorean fuzzy set (also called Atanassov's intuitionistic fuzzy set of second type), interval-valued Pythagorean fuzzy set which is parallel to Atanassov's interval-valued intuitionistic fuzzy set has recently been developed to model imprecise and ambiguous information in practical group decision making problems. The aim of this paper is to put forward a novel decision making method for handling multiple criteria group decision making problems within interval-valued Pythagorean fuzzy environment based on interval-valued Pythagorean fuzzy numbers (IVPFNs). There are three key issues being addressed in this approach. The first is to introduce an interval-valued Pythagorean fuzzy weighted arithmetic averaging (IVPF-WAA) operator to aggregate the decision data in order to get the overall preference values of alternatives. Some desirable properties of the IVPF-WAA operator are also investigated. Based on the idea of the maximizing deviation method, the second is to establish an optimization model for determining the weights of criteria for each expert. The third is to construct a minimizing consistency optimal model to derive the weights of criteria for the group. Finally, an illustrating example is given to verify the proposed approach.
Mathematics Subject Classification ID: 91B06
zbMATH DE Number: 7025480
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/746572
OpenAlex ID: W1963106730
Wikidata QID: Q59105415
cites work: Fuzzy sets
cites work: Decision-Making in a Fuzzy Environment
cites work: Intuitionistic fuzzy sets
cites work: On the position of intuitionistic fuzzy set theory in the framework of theories modelling imprecision
cites work: A method based on intuitionistic fuzzy dependent aggregation operators for supplier selection
cites work: Intuitionistic fuzzy sets. Theory and applications
cites work: Interval-valued intuitionistic fuzzy QUALIFLEX method with a likelihood-based comparison approach for multiple criteria decision analysis
cites work: Interval valued intuitionistic fuzzy sets
cites work: On intuitionistic fuzzy sets theory
cites work: The maximizing deviation method for group multiple attribute decision making under linguistic environment
cites work: Interactive group decision making procedure under incomplete information
description: scientific article; zbMATH DE number 7025480