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ŁUKASIEWICZ FUZZY FILTERS IN HOOPSopen access
- Issue Date
- Sep-2024
- Publisher
- Shahrood University of Technology
- Keywords
- O-set; q-set; Łukasiewicz fuzzy filter; Łukasiewicz fuzzy set; ∈-set
- Citation
- Journal of Algebraic Systems, v.12, no.1, pp 1 - 20
- Pages
- 20
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Systems
- Volume
- 12
- Number
- 1
- Start Page
- 1
- End Page
- 20
- ISSN
- 2345-511X
2345-511X
- Abstract
- By applying the concept of the Łukasiewicz fuzzy set to the filter in hoops, the Łukasiewicz fuzzy filter is introduced and its properties are investigated. The relationship between fuzzy filter and Łukasiewicz fuzzy filter is discussed. Conditions for the Łukasiewicz fuzzy set to be a Łukasiewicz fuzzy filter are provided, and characterizations of Łukasiewicz fuzzy filter are displayed. The conditions under which the three subsets, ∈-set, q-set, and O-set, will be filter are explored. © 2024, Shahrood University of Technology. All rights reserved.
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