• Korean Journal of Logic
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• v.19 no.2
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• pp.295-322
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• 2016

This paper deals with Kripke-style semantics, which will be called algebraic Kripke-style semantics, for fuzzy logics based on uninorms (so called uninorm-based logics). First, we recall algebraic semantics for uninorm-based logics. In the general framework of uninorm-based logics, we next introduce various types of general algebraic Kripke-style semantics, and connect them with algebraic semantics. Finally, we analogously consider particular algebraic Kripke-style semantics, and also connect them with algebraic semantics.

• Korean Journal of Logic
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• v.17 no.1
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• pp.181-196
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• 2014

This paper deals with Kripke-style semantics for fuzzy logics. More exactly, I introduce algebraic Kripke-style semantics for some weakening-free extensions of the uninorm based fuzzy logic UL. For this, first, I introduce several weakening-free extensions of UL, define their corresponding algebraic structures, and give algebraic completeness. Next, I introduce several algebraic Kripke-style semantics for those systems, and connect these semantics with algebraic semantics.

• Korean Journal of Logic
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• v.21 no.2
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• pp.155-174
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• 2018

This paper deals with Kripke-style semantics, which will be called algebraic Kripke-style semantics, for weakly associative fuzzy logics. First, we recall algebraic semantics for weakly associative logics. W next introduce algebraic Kripke-style semantics, and also connect them with algebraic semantics.

• Korean Journal of Logic
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• v.15 no.1
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• pp.1-16
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• 2012

This paper deals with Kripke-style semantics for fuzzy logics. As an example we consider a Kripke-style semantics for the uninorm based fuzzy logic UL. For this, first, we introduce UL, define the corresponding algebraic structures UL-algebras, and give algebraic completeness results for it. We next introduce a Kripke-style semantics for UL, and connect it with algebraic semantics.

• Korean Journal of Logic
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• v.17 no.3
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• pp.441-461
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• 2014

This paper deals with one sort of Kripke-style semantics for three-valued paraconsistent logic: algebraic Kripke-style semantics. We first introduce two three-valued systems, define their corresponding algebraic structures, and give algebraic completeness results for them. Next, we introduce algebraic Kripke-style semantics for them, and then connect them with algebraic semantics.

• Korean Journal of Logic
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• v.18 no.1
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• pp.65-83
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• 2015

This paper deals with non-algebraic Kripke-style semantics for three-valued paraconsistent logic: set-theoretical Kripke-style semantics. We first recall two three-valued paraconsistent systems. We next introduce set-theoretical Kripke-style semantics for them.

• Korean Journal of Logic
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• v.21 no.1
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• pp.39-57
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• 2018

This paper deals with non-algebraic Kripke-style semantics, i.e, set-theoretical Kripke-style semantics, for weakening-free non-commutative fuzzy logics. We first recall an extension of the pseudo-uninorm based fuzzy logic HpsUL, $CnHpsUL^*$. We next introduce set-theoretical Kripke-style semantics for it.

• Korean Journal of Logic
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• v.22 no.1
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• pp.25-42
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• 2019

This paper deals with Kripke-style semantics, which will be called set-theoretic Kripke-style semantics, for weakly associative substructural fuzzy logics. We first recall three weakly associative substructural fuzzy logic systems and then introduce their corresponding Kripke-style semantics. Next, we provide set-theoretic completeness results for them.

• Korean Journal of Logic
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• v.22 no.2
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• pp.291-307
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• 2019

This paper deals with set-theoretic Kripke-style semantics for FR, a fuzzy version of R of Relevance. For this, first, we introduce the system FR and its corresponding Kripke-style semantics. Next, we provide set-theoretic completeness results for it.

• Korean Journal of Logic
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• v.15 no.2
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• pp.207-222
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• 2012

This paper deals with Kripke-style semantics for FR, a fuzzy version of R of Relevance. For this, first, we introduce FR, define the corresponding algebraic structures FR-algebras, and give algebraic completeness results for it. We next introduce an algebraic Kripke-style semantics for FR, and connect it with algebraic semantics. We furthermore show that such semantics does not work for R.