Journal of Uncertain Systems, cilt.17, sa.1, 2024 (Scopus)
The concept of continuous function-valued q-rung orthopair fuzzy set (CFVqROFS) represents an innovative framework within fuzzy set theory, where the assessment of an element’s membership and nonmembership degrees is accomplished through continuous functions. This paper introduces a novel entropy measure for CFVqROFS, employing the Riemann integral. Furthermore, it outlines a theoretical framework for constructing a similarity measure based on entropy and presents a distance measure. The newly introduced entropy measure is used for weighting criteria and measuring the distance of the alternatives in decision-making processes. To illustrate the practical utility of these concepts, an extended Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is proposed and is employed to tackle a real-world problem previously addressed in the literature. The outcomes of this extended TOPSIS are compared with those given in existing studies, and a sensitivity analysis is performed concerning the variable q.