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- Title
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.
- Authors
Yi, Zhihong; Yao, Lijuan; Garg, Harish
- Abstract
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.
- Subjects
GROUP decision making; FUZZY numbers; TRIANGULAR norms; STATISTICAL decision making; DECISION making; HYBRID power
- Publication
International Journal of Fuzzy Systems, 2024, Vol 26, Issue 1, p239
- ISSN
1562-2479
- Publication type
Article
- DOI
10.1007/s40815-023-01591-1