Power Geometric Operations of Trapezoidal Atanassov’s Intuitionistic Fuzzy Numbers Based on Strict t-Norms and t-Conorms and Its Application to Multiple Attribute Group Decision Making

Trapezoidal Atanassov’s intuitionistic fuzzy numbers (TrAIFNs) is one of the useful tools to manage the fuzziness and vagueness in expressing decision data and solving decision making problems. In this paper, based on the operation laws defined by strict t-norms and t-conorms, four kinds of power ge...

Full description

Saved in:
Bibliographic Details
Published in:International journal of fuzzy systems 2024-02, Vol.26 (1), p.239-259
Main Authors: Yi, Zhihong, Yao, Lijuan, Garg, Harish
Format: Article
Language:English
Subjects:
Artificial Intelligence
Computational Intelligence
Decision making
Engineering
Fuzzy sets
Logic programming
Management Science
Norms
Operations Research
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Trapezoidal Atanassov’s intuitionistic fuzzy numbers (TrAIFNs) is one of the useful tools to manage the fuzziness and vagueness in expressing decision data and solving decision making problems. In this paper, based on the operation laws defined by strict t-norms and t-conorms, four kinds of power geometric operators, i.e., triangular (co)norms-based (T-based) power geometric operator of TrAIFNs, T-based weighted power geometric operator of TrAIFNs, T-based power ordered weighted geometric operator of TrAIFNs, and T-based power hybrid geometric operator of TrAIFNs, are developed. To minimize loss of information in process, a new ranking method of TrAIFNs are presented based on the newly proposed possibility differences of TrAIFNs; Moreover, utilizing strict t-conorms, a new similarity measurement of TrAIFNs is innovated. Thereby, in combination with all the referred elements, two approaches to multiple attributes group decision making using TrAIFNs are developed. In the end, the feasibility of those methods and the superiority over the existing methods are demonstrated by a numerical example.
ISSN:1562-2479
2199-3211
DOI:10.1007/s40815-023-01591-1