Some Spherical Uncertain Linguistic Aggregation Operators and their Application in Multi-Attribute Decision-Making
DOI:
https://doi.org/10.31181/jidmgc11202511Keywords:
Multi-attribute decision-making, Spherical uncertain linguistic sets, Spherical uncertain linguistic hybrid average operator, Spherical uncertain linguistic hybrid geometric operator, Smart phone selectionAbstract
Motivated by the idea of uncertain linguistic sets and spherical fuzzy sets, the concept of spherical uncertain linguistic sets (SULSs) and some basic operational rules, properties, the score, and accuracy for spherical uncertain linguistic numbers (SULNs) are proposed. Then, we utilize arithmetic and geometric operations to develop some spherical uncertain linguistic aggregation operators: spherical uncertain linguistic weighted average (SULWA) operator, spherical uncertain linguistic weighted geometric (SULWG) operator, spherical uncertain linguistic ordered weighted average (SULOWA) operator, spherical uncertain linguistic ordered weighted geometric (SULOWG) operator, spherical uncertain linguistic hybrid average (SULHA) operator, spherical uncertain linguistic hybrid geometric (SULHG) operator, generalized spherical uncertain linguistic weighted averaging (GSULWA) operator, and generalized spherical uncertain linguistic weighted geometric (GSULWG) operator. Moreover, some desired properties of these operators are investigated. Then, we use these operators to develop some approaches to solve spherical uncertain linguistic multi-attribute decision-making problems. Finally, a practical example for smartphone selection is given to illustrate the developed approach, and comparison analysis and discussion are conducted with another existing method to demonstrate the effectiveness and feasibility of the developed approach.
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