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Dual hesitant q ‐rung orthopair fuzzy Dombi t ‐conorm and t ‐norm based Bonferroni mean operators for solving multicriteria group decision making problems
Author(s) -
Sarkar Arun,
Biswas Animesh
Publication year - 2021
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22417
Subject(s) - ranking (information retrieval) , fuzzy logic , dual (grammatical number) , bonferroni correction , norm (philosophy) , group decision making , mathematical optimization , mathematics , frame (networking) , computer science , artificial intelligence , statistics , law , art , literature , telecommunications , political science
In this paper, Bonferroni mean (BM) and Dombi t ‐conorms and t ‐norms (D t ‐CN& t ‐Ns) are combined under dual hesitant q ‐rung orthopair fuzzy (DH q ‐ROF) environment to produce DH q ‐ROF‐Dombi BM, weighted Dombi BM, Dombi geometric BM, and Dombi weighted geometric BM aggregation operators (AOs). Using these operators, the decision making processes would become more flexible and also would possess the capabilities of capturing interrelationships among input arguments under imprecise decision making environments. Apart from those, a large number of AOs either already developed or not yet developed may also be derived from the proposed AOs. In the process of developing the AOs, some operational laws of DH q ‐ROF numbers based on D t ‐CN& t ‐Ns are defined first. Several important properties of the developed operators are discussed. The proposed AOs are used to frame a new methodology to solve multicriteria group decision making problems under DH q ‐ROF contexts. Several illustrative examples are solved to demonstrate effectiveness and benefits of the developed method. Sensitivity analysis is performed to show the variations of ranking values with the change of different parameters in the decision making contexts. Finally, the introduced method is compared with several existing techniques to establish superiority and effectiveness of the proposed method.