This research introduces Mediative Fuzzy Logic, a new framework designed to reconcile conflicting assessments in fuzzy control and decision-making. It develops a unified mathematical account extending standard fuzzy logic through interval type-2, granular type-3, and quantum extensions
The article, arXiv:2605.22900v1, introduces Mediative Fuzzy Logic as a method for handling hesitant or conflicting assessments in fuzzy systems. The research develops a unified account by characterizing the mediative operator as a convex aggregation controlled by hesitation and contradiction. It models mediative truth values using independent truth-falsity pairs in a continuous bilattice-like structure and extends standard fuzzy logic with a new mediative connective. The authors establish soundness and paraconsistency and formulate coherent semantic extensions for interval type-2 truth values and effects operators on Hilbert spaces. A practical application is demonstrated through an autonomous-braking sensor-fusion example, illustrating how the framework supports transparent, conservative, and safety-first decisions under incomplete and contradictory evidence.