2002•Unpublished venueRequires access

Relations between fuzzy implication algebra and Heyting algebra

Chong-You Zheng

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Abstract

In order to study fuzzy logic system which value is in [0, 1], fuzzy implication algebra is introduced as a kind of abstract algebraic structure. Heyting algebra is introduced as the algebraic model of intuition proposition logic. In this paper, some relations between fuzzy implication algebra and Heyting algebra are given.

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What this paper is about

In order to study fuzzy logic system which value is in [0, 1], fuzzy implication algebra is introduced as a kind of abstract algebraic structure. Heyting algebra is introduced as the algebraic model of intuition proposition logic. In this paper, some relations between fuzzy implication algebra and Heyting algebra are given.

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Available abstract

In order to study fuzzy logic system which value is in [0, 1], fuzzy implication algebra is introduced as a kind of abstract algebraic structure. Heyting algebra is introduced as the algebraic model of intuition proposition logic. In this paper, some relations between fuzzy implication algebra and Heyting algebra are given.

Key concepts: Heyting algebra, Algebra over a field, Fuzzy logic, Mathematics, Term algebra, Algebraic structure, Algebraic logic, Algebra representation

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