K-MODAL BL-ALGEBRAS
Keywords:
Fuzzy logic, Fuzzy modal logic, K-modal BL-algebra, K-modal filter, □-tautology filter.Abstract
This article will introduce K-modal BL-algebra and investigate some properties ofthis new algebra. Consequently, K-modal filters and □-tautology filters as filters ofK-modal BL-algebras will be dealt with. We will prove that the class of all K-modalBL-algebras is a variety of algebra. Our final goal in this paper is to prove that aK-modal BL-algebra is a sub-algebra of direct product of a system of linearly orderedK-modal BL-algebras under special conditions.
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