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̷Lukasiewicz Anti Fuzzy Set and Its Application in BE-algebras
- Authors
- Jun, Young Bae
- Issue Date
- Nov-2022
- Publisher
- Islamic Azad University
- Keywords
- <-subset; Anti fuzzy BE-ideal; anti subset; Łukasiewicz anti fuzzy BE-ideal; Łukasiewicz anti fuzzy set; Υ-subset
- Citation
- Transactions on Fuzzy Sets and Systems, v.1, no.2, pp 37 - 45
- Pages
- 9
- Indexed
- SCOPUS
- Journal Title
- Transactions on Fuzzy Sets and Systems
- Volume
- 1
- Number
- 2
- Start Page
- 37
- End Page
- 45
- ISSN
- 2821-0131
- Abstract
- The idea of ̷Lukasiewicz t-conorm is used to construct the concept of ̷Lukasiewicz anti fuzzy sets based on a given anti fuzzy set, and it is applied to BE-algebras. The notion of ̷Lukasiewicz anti fuzzy BE-ideal is introduced, and its properties are investigated. The conditions under which ̷Lukasiewicz anti fuzzy set will be ̷Lukasiewicz anti fuzzy BE-ideal are explored, and the relationship between anti fuzzy BE-ideal and ̷Lukasiewicz anti fuzzy BE-ideal are discussed. Three types of subsets so called ⋖-subset, Υ-subset, and anti subset are constructed, and the conditions under which they can be BE-ideals are explored. © 2022, Islamic Azad University. All rights reserved.
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