Multi-Attribute Decision-Making for T-Spherical Fuzzy Information Utilizing Schweizer-Sklar Prioritized Aggregation Operators for Recycled Water

Abstract

To handle problematic and ambiguous data, Schweizer and Sklar added a parameter p in 1960, which helped to develop the theory of SS t-norm (SSTN) and t-conorm (SSTCN). The parameter p=-1.1 can be used to easily derive the information of the Hamacher and Lukasiewicz t-norms. Furthermore, prioritized aggregation operators (PAOs) choose which data will be collected into a singleton set. The main contribution of this work is the construction of new aggregation operators for T-spherical fuzzy (T-SF) information based on SS t-norm and t-conorm. Moreover, the fundamental characteristics of the operators are identified. Further, we developed MADM (Multi-Attribute Decision-Making) models and deduced several useful properties from the operators T-SFSSPA, T-SFSSWPA, T-SFSSPG, and T-SFSSWPG. Finally, using an actual case study, we were able to draw the conclusion that, in comparison to the ground-breaking and current methods to enhance the value and capability of the diagnosed operators, the proposed MADM algorithm performs noticeably better than the operators in place for resolving the water recycling problem in a way that is easy to understand.

Parametric Similarity Measurement of T-Spherical Fuzzy Sets for Enhanced Decision-Making

“…Hussain et al [26] give the concept of MADM on the basis of the Aczel-Alsina aggregation operator. Sarfraz [27] developed the theory of MADM using the application of T-SFS. Ullah et al [28] develop the theory of Aczel-Alsina using the application of MADM.…”

Optimization of Market Risk via Maclaurin Symmetric Mean Aggregation Operators: An Application of Interval-Valued Intuitionistic Fuzzy Sets in Multi-Attribute Group Decision-Making

“…Hussain et al developed the idea of Aczel-Alsina AOs using the application of medical diagnosis. Sarfraz [22] developed an AO for water recycling using the Schweizer-Sklar algorithm. Ullah et al [23] gave the concept of prioritized Aczel-Alsina AOs for IFS.…”