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Lukasiewicz fuzzy filters of Sheffer stroke Hilbert algebras

Authors
Borzooei, Rajab AliAhn, Sun ShinJun, Young Bae
Issue Date
Apr-2024
Publisher
IOS Press
Keywords
lukasiewicz fuzzy filter; O-set; q-set; Sheffer stroke Hilbert algebra; ∈-set
Citation
Journal of Intelligent and Fuzzy Systems, v.46, no.4, pp 8231 - 8243
Pages
13
Indexed
SCIE
SCOPUS
Journal Title
Journal of Intelligent and Fuzzy Systems
Volume
46
Number
4
Start Page
8231
End Page
8243
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/70631
DOI
10.3233/JIFS-233295
ISSN
1064-1246
1875-8967
Abstract
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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