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New Forms of Fuzzy Filters in Sheffer Stroke Hilbert Algebras
- Authors
- Seo, Young Joo; Ahn, Sun Shin; Jun, Young Bae
- Issue Date
- Oct-2025
- Publisher
- SAGE Publications Ltd
- Keywords
- -fuzzy Filter; Filter; Fuzzy Filter; Homomorphism; Sheffer Stroke Hilbert Algebra; Algebra; Hilbert Spaces; -fuzzy Filter; Filter; Fuzzy Point; Fuzzy Version; Hilbert Algebras; Homomorphism; New Forms; Property; Sheffe Stroke Hilbert Algebra; Sheffer Stroke; Fuzzy Filters
- Citation
- Journal of Intelligent & Fuzzy Systems, v.49, no.4, pp 991 - 1005
- Pages
- 15
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Intelligent & Fuzzy Systems
- Volume
- 49
- Number
- 4
- Start Page
- 991
- End Page
- 1005
- ISSN
- 1064-1246
1875-8967
- Abstract
- For the purpose of studying the fuzzy version of the filter in Sheffer stroke Hilbert algebra using the concept of fuzzy point, the concept of ( ∈, ∈ ∨ q )[jls-end-space/]-fuzzy filters in the Sheffer stroke Hilbert algebra is introduced and several properties are investigated. The relationship between fuzzy filters and ( ∈, ∈ ∨ q )[jls-end-space/]-fuzzy filters is considered, and characterizations of ( ∈, ∈ ∨ q )[jls-end-space/]-fuzzy filters are discussed. The conditions under which ( ∈, ∈ ∨ q )[jls-end-space/]-fuzzy filters can become fuzzy filters are explored, and ( ∈, ∈ ∨ q )[jls-end-space/]-fuzzy filters associated with homomorphisms are studied. © 2025 Elsevier B.V., All rights reserved.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)