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Generalized MULTIMOORA method and Dombi prioritized weighted aggregation operators based on T‐spherical fuzzy sets and their applications
Author(s) -
Mahmood Tahir,
Warraich Muhammad S.,
Ali Zeeshan,
Pamucar Dragan
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.22474
Subject(s) - falsity , mathematics , set (abstract data type) , fuzzy logic , fuzzy set , consistency (knowledge bases) , algebra over a field , construct (python library) , computer science , discrete mathematics , mathematical optimization , algorithm , pure mathematics , artificial intelligence , philosophy , linguistics , programming language
In this manuscript, the technique of the generalized MULTIMOORA method is investigated by using the concept of a T‐spherical fuzzy set (T‐SFS), which is the modified idea of a picture fuzzy set to handle awkward and vague information in daily life problems. T‐SFS covers the degree of truth, abstinence, and falsity with a rule that the sum of the qth‐powers of all degrees is restricted to the unit interval. Moreover, for examining the interrelationships among any number of T‐SFSs, we construct the idea of T‐spherical fuzzy Dombi prioritized weighted arithmetic (T‐SFDPWA) aggregation operators, T‐spherical fuzzy Dombi prioritized arithmetic, T‐spherical fuzzy Dombi prioritized geometric, and T‐spherical fuzzy Dombi prioritized weighted geometric (T‐SFDPWG) aggregation operators are given. Then, the basic properties of T‐SFDPWA and T‐SFDPWG aggregation operators are investigated and discussed in some of their cases. The investigated operators based on T‐SFS are utilized in the environment of multiattribute decision‐making problems to find the consistency and proficiency of the developed operators. In last, we illustrated some numerical examples based on explored operators is to examine the reliability and validity of the investigated operators with the help of comparative analysis and graphical representations with some existing ideas to show the presented approaches are extensive powerful.