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Ideals in BE-algebras based on Lukasiewicz fuzzy set
- Authors
- Ahn, Sun Shin; Roh, Eun Hwan; Jun, Young Bae
- Issue Date
- Jul-2022
- Publisher
- New York Business Global
- Keywords
- Fuzzy ideal; Lukasiewicz fuzzy ideal; is an element of-set; q-set; O-set
- Citation
- European Journal of Pure and Applied Mathematics, v.15, no.3, pp 1307 - 1320
- Pages
- 14
- Indexed
- SCOPUS
ESCI
- Journal Title
- European Journal of Pure and Applied Mathematics
- Volume
- 15
- Number
- 3
- Start Page
- 1307
- End Page
- 1320
- ISSN
- 1307-5543
- Abstract
- For the purpose of applying the concept of Lukasiewicz fuzzy set to ideals in BE-algebras, Lukasiewicz fuzzy ideal is introduced, and its properties are studied. The relationship between fuzzy ideal and Lukasiewicz fuzzy ideal is discussed. Conditions for the Lukasiewicz fuzzy set to be a Lukasiewicz fuzzy ideal are provided, and characterizations of Lukasiewicz fuzzy ideal are displayed. Conditions in which three subsets, called is an element of-set, q-set and O-set, are ideals are explored.
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