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Journal Articles Theoria: An International Journal for Theory, History and Foundations of Science / Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia Year : 2023

New trends and open problems in fuzzy logic and approximate reasoning

Abstract

This short paper about fuzzy set-based approximate reasoning first emphasizes the three main semantics for fuzzy sets: similarity, preference and uncertainty. The difference between truth-functional many-valued logics of vague or gradual propositions and non fully compositional calculi such as possibilistic logic or similarity logics is stressed. Then, potentials of fuzzy set-based reasoning methods are briefly outlined for various kinds of approximate reasoning: deductive reasoning about flexible constraints, reasoning under uncertainty and inconsistency, hypothetical reasoning, exception-tolerant plausible reasoning using generic knowledge, interpolative reasoning, and abductive reasoning. Open problems are listed in the conclusion.
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Dates and versions

hal-04039817 , version 1 (22-03-2023)

Identifiers

  • HAL Id : hal-04039817 , version 1

Cite

Didier Dubois, Henri Prade. New trends and open problems in fuzzy logic and approximate reasoning. Theoria: An International Journal for Theory, History and Foundations of Science / Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia, 2023, 11 (27), pp.109--121. ⟨hal-04039817⟩
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