Bipolar valued probabilistic hesitant fuzzy sets based on Generalized Hybrid Operators in multi-criteria decision-making problems based on TOPSIS

被引：2
作者：
Özlü S. [1 ]
Al-Quran A. [2 ]
Riaz M. [3 ]
机构：
[1] Nizip Vocational High School, Gaziantep University, Gaziantep
[2] Preparatory Year Deanship, King Faisal University, Al-Ahsa, Hofuf
[3] Department of Mathematics, University of the Punjab, Lahore
来源：
Journal of Intelligent and Fuzzy Systems | 2024年 / 46卷 / 04期
关键词：
bipolar valued probabilistic hesitant fuzzy sets; decision-making; generalized hybrid operators; Probabilistic hesitant fuzzy sets;
D O I：
10.3233/JIFS-238331
中图分类号：
学科分类号：
摘要：
This paper aims to present Bipolar valued probabilistic hesitant fuzzy sets (BVPHFSs) by combining bipolar fuzzy sets and probabilistic hesitant fuzzy sets (PHFSs). PHFSs are a strong version of hesitant fuzzy sets (HFSs) in terms of evaluated as probabilistic of each element. Probabilistic hesitant fuzzy sets (PHFSs) are a set structure that argues that each alternative should be evaluated probabilistically. In this framework, the proposed cluster allows probabilistic evaluation of decision- makers' opinions as negative. Thus, this case proposes flexibility about selection of an element and aids to overcome with noise channels. Furthermore, some new aggregation operators are discussed called bipolar valued probabilistic hesitant fuzzy weighted average operator (BVPHFWA), Generalized bipolar valued probabilistic hesitant fuzzy weighted average operator (GBVPHFWA), bipolar valued probabilistic hesitant fuzzy weighted geometric operator (BVPHFWG), Generalized bipolar valued probabilistic hesitant fuzzy weighted geometric operator (GBVPHFWG), bipolar valued probabilistic hesitant fuzzy hybrid weighted arithmetic and geometric operator (BVPHFHWAG) and Generalized bipolar valued probabilistic hesitant fuzzy hybrid weighted arithmetic and geometric (GBVPHFHWAG) and some basic properties are presented. A score function is defined ranking alternatives. Moreover, two different algorithms are put forward with helping to TOPSIS method and by using aggregation operators over BVPHFSs. The validity of proposed operators are analyzed with an example and results are compared in their own. © 2024 - IOS Press. All rights reserved.
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页码：10553 / 10572
页数：19
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