In the present manuscript, a novel concept of T -spherical fuzzy soft set is introduced with various important operations and properties. In the eld of information theory, an aggregation operator is a structured mathematical function that aggregates all the information received as input and provides a single output entity, found to be applicable for various important decision-making cases. Some averaging aggregation operators and geometric aggregation operators (weighted, ordered, and hybrid) for T -spherical fuzzy soft numbers have been proposed with their various properties. Further, utilizing the proposed aggregation operators of various types along with the properly de ned score function/accuracy function, an algorithm for solving a decision-making problem has been provided. The proposed methodology has also been well illustrated through a numerical example. Some comparative remarks and advantages of the introduced notion of Tspherical fuzzy soft set and the proposed methodology have been listed to ensure better motivation and readability.
In the present communication, a parametric (R, S)-norm information measure for the Pythagorean fuzzy set has been proposed with the proof of its validity. The monotonic behavior and maximality feature of the proposed information measure have been studied and presented. Further, an algorithm for solving the multicriteria decision-making problem with the help of the proposed information measure has been provided keeping in view of the different cases for weight criteria, when weights are unknown and other when weights are partially known. Numerical examples for each of the case have been successfully illustrated. Finally, the work has been concluded by providing the scope for future work.
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