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GENERALIZED LUKASIEWICZ FUZZY SUBALGEBRAS OF BCI-ALGEBRAS AND BCK-ALGEBRAS
- Authors
- Sun Shin Ahn; Young Joo Seo; Young Bae Jun
- Issue Date
- Sep-2025
- Publisher
- 강원경기수학회
- Keywords
- (α; ε)-Lukasiewicz fuzzy subalgebra; Lukasiewicz ∈-set; Lukasiewicz q-set; Lukasiewicz O-set
- Citation
- 한국수학논문집, v.33, no.3, pp 219 - 229
- Pages
- 11
- Indexed
- SCOPUS
ESCI
KCI
- Journal Title
- 한국수학논문집
- Volume
- 33
- Number
- 3
- Start Page
- 219
- End Page
- 229
- ISSN
- 1976-8605
2288-1433
- Abstract
- The aim of this paper is to generalize Lukasiewicz fuzzy subalgebras in BCK/BCI-algebras. First, the concept of (α,ε)-Lukasiewicz fuzzy subalgebras using fuzzy points is defined and examples to explain it are given, and then several properties are investigated. The relationship between Lukasiewicz fuzzy subalgebras and (α,ε)-Lukasiewicz fuzzy subalgebras is discussed, and the conditions under which the ε-Lukasiewicz fuzzy set to be an (α,ε)-Lukasiewicz fuzzy subalgebra are explored. The characterizations of (α,ε)-Lukasiewicz fuzzy subalgebras are exam ined. Conditions under which Lukasiewicz ∈-set, Lukasiewicz q-set and Lukasiewicz O-set can be subalgebras are handled.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)