Eunsuk Yang

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This paper proposes a new topic in substructural logic for use in research joining the fields of relevance and fuzzy logics. For this, we consider old and new relevance principles. We first introduce fuzzy systems satisfying an old relevance principle, i.e., Dunn’s weak relevance principle. We present ways to obtain relevant companions of the weakening-free(More)
This paper deals with one kind of Kripke-style semantics, which we shall call algebraic Kripke-style semantics, for relevance logics. We first recall the logic R of relevant implication and some closely related systems, their corresponding algebraic structures, and algebraic completeness results. We provide simpler algebraic completeness proofs. We then(More)
This paper deals with standard completeness for weakening-free, non-associative, substructural fuzzy logics. First, fuzzy systems, which are based on micanorms (binary monotonic identity commutative aggregation operations on the real unit interval [0, 1]), their corresponding algebraic structures, and algebraic completeness results are discussed. Next,(More)
This paper addresses standard completeness for non-associative, non-commutative, substructural fuzzy logics and their axiomatic extensions. First, fuzzy systems, which are based on mianorms (binary monotonic identity aggregation operations on the real unit interval [0, 1]), their corresponding algebraic structures, and algebraic completeness results are(More)
This is an investigation of weakening-free fuzzy logics expanded by the delta connective D; which can be interpreted by Baaz’s projection and its generalizations. First, logical systems obtained from weakeningfree uninorm (based) logics by adding D to be interpreted by the Baaz projection are introduced. Next, expansions of the weakening-free uninorm logics(More)