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Mediative Fuzzy Logic: From Type-1 Foundations to Type-2, Type-3 and Quantum Extensions

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Mediative Fuzzy Logic: From Type-1 Foundations to Type-2, Type-3 and Quantum Extensions
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The article discusses the development of Mediative Fuzzy Logic, which aims to reconcile conflicting assessments in decision-making. It explores extensions beyond type-1 fuzzy logic, including type-2, type-3, and quantum frameworks. The research highlights the importance of mediative operators in managing uncertainty and contradiction in intelligent systems.

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arXiv cs.AI
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Computer Science > Artificial Intelligence arXiv:2605.22900 (cs) [Submitted on 21 May 2026] Title:Mediative Fuzzy Logic: From Type-1 Foundations to Type-2, Type-3 and Quantum Extensions Authors:Oscar Montiel Ross View a PDF of the paper titled Mediative Fuzzy Logic: From Type-1 Foundations to Type-2, Type-3 and Quantum Extensions, by Oscar Montiel Ross View PDF HTML (experimental) Abstract:Mediative Fuzzy Logic was conceived as a practical scheme for reconciling hesitant or conflicting assessments in fuzzy control and decision-making. However, its logical and semantic foundations remain underdeveloped, especially beyond operational type-1 settings. This article develops a unified account of the type-1 core together with interval type-2, granular type-3, and quantum extensions.

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