On imaginable T -fuzzy subalgebras and imaginable T -fuzzy closed ideals in BCH-algebras

Young Bae Jun and Sung Min Hong

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-19

Abstract:

We inquire further into the properties on fuzzy closed ideals. We give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal. We describe the fuzzy closed ideal generated by a fuzzy set, and give a characterization of a finite-valued fuzzy closed ideal. Using a t -norm T , we introduce the notion of (imaginable) T -fuzzy subalgebras and (imaginable) T -fuzzy closed ideals, and obtain some related results. We give relations between an imaginable T -fuzzy subalgebra and an imaginable T -fuzzy closed ideal. We discuss the direct product and T -product of T -fuzzy subalgebras. We show that the family of T -fuzzy closed ideals is a completely distributive lattice.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:937805

DOI: 10.1155/S0161171201006408

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