ScholarWorks@경상국립대학교

초록

Using the notion of the lukasiewicz fuzzy set, we study the filter theory of Sheffer stroke Hilbert algebras. Here's what we're trying to do. 1. We first introduce the lukasiewicz fuzzy filter of Sheffer stroke Hilbert algebras. 2. We provide an example to illustrates the lukasiewicz fuzzy filter. 3. We examine the various properties of the lukasiewicz fuzzy filter. 4. We discuss characterizations of the lukasiewicz fuzzy filter. 5. We explore the conditions under which lukasiewicz fuzzy set can be lukasiewicz fuzzy filter. 6. We discuss the relationship between fuzzy filter and lukasiewicz fuzzy filter. 7. We use the given filter to creates a lukasiewicz fuzzy filter. 8. We present conditions for the three subsets, called ∈-set, q-set and O-set, to be filters. © 2024-IOS Press. All rights reserved.

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