New generalizations of circular complex fuzzy sets and Gaussian weighted aggregation operators
Abstract
In this paper, we introduce the concept of the circular complex q-rung orthopair fuzzy set (CCq-ROFS) as a novel generalization that unifies the existing frameworks of circular complex intuitionistic fuzzy sets (CCIFSs) and complex q-rung orthopair fuzzy sets. If q = 2, the structure is referred to as a circular complex Pythagorean fuzzy set, and if q = 3, it is called a circular complex Fermatean fuzzy set. The proposed approach extends the Gaussian-based framework to the CCq-ROFSs, aiming to achieve a smoother and statistically meaningful representation of uncertainty. Within this setting, new Gaussian-based aggregation operators for CCq-ROFSs are constructed by employing the Gaussian triangular norm and conorm. Furthermore, Gaussian-weighted arithmetic and Gaussian-weighted geometric aggregation operators are formulated to enable consistent integration of membership and non-membership information for fuzzy modeling and decision-making.
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