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Exploring Regularities of Ordered Semigroups Through Generalized Fuzzy IdealsExploring Regularities of Ordered Semigroups Through Generalized Fuzzy Ideals
- Other Titles
- Exploring Regularities of Ordered Semigroups Through Generalized Fuzzy Ideals
- Issue Date
- Jun-2024
- Publisher
- 한국지능시스템학회
- Keywords
- (α; β)-fuzzy left ideal; (α; β)-fuzzy right ideal; Ordered semigroup; Regular; Intra-regular
- Citation
- International Journal of Fuzzy Logic and Intelligent systems, v.24, no.2, pp 141 - 152
- Pages
- 12
- Indexed
- SCOPUS
ESCI
KCI
- Volume
- 24
- Number
- 2
- Start Page
- 141
- End Page
- 152
- ISSN
- 1598-2645
2093-744X
- Abstract
- We consider (α,β)-fuzzyideals, which are a generalized version of fuzzy ideals, in ordered semigroups. A connection between (α,β)-fuzzy quasi-ideals and (α,β)-fuzzy left (right) ideals is provided. The notion of (α,β)-fuzzy ideals is characterized in terms of aparticular operation. We describe regular and intra-regular ordered semigroups using the concept of (α,β)fuzzy ideals.
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