T-Spherical Fuzzy Frank Aggregation Operators and Their Application to Decision Making With Unknown Weight Information

• Published in: IEEE access Vol. 10; pp. 7408 - 7438
• Main Authors: Mahnaz, Saima, Ali, Jawad, Malik, M. G. Abbas, Bashir, Zia
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Agglomeration; Decision analysis; Decision making; Entropy; frank aggregation operators; Frank t-norm and t-conorm; Fuzzy sets; Investments; MCDM; Multiple criterion; Operators; T-spherical fuzzy set; Uncertainty; Weight measurement
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2021.3129807

The current study presents a novel multi-criteria decision making (MCDM) approach to address decision analysis with T-spherical fuzzy data, whose weights of criteria are fully unknown. To serve the purpose, we design some generalized operational laws, namely Frank operational laws for T-spherical fuzzy numbers (T-SFNs) using Frank t-norm and t-conorm. Then, based on the proposed operations, a range of T-spherical fuzzy aggregation operators is developed to aggregate T-spherical fuzzy information efficiently. Also, discuss their particular cases and desirable properties are well proved. Next, we propound the T-spherical fuzzy entropy measure and its capability to fulfil the required properties. Then it is further used for criteria weight determination in the proposed aggregation based MCDM approach. In addition, a descriptive example is provided for viewing the applicability of the established approach. Lastly, the superiority and validity of this approach are highlighted by parameter analysis and comparative analysis.