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INTUITIONISTIC FALLING SHADOWS APPLIED TO COMMUTATIVE IDEALS IN<i> BCK</i>-ALGEBRASopen access
- Authors
- Borzooei, R. A.; Xin, X. L.; Jun, Y. B.
- Issue Date
- Jan-2023
- Publisher
- Shahrood University of Technology
- Keywords
- (Falling) Intuitionistic fuzzy ideal; Commutative (falling) intuitionistic fuzzy ideal
- Citation
- Journal of Algebraic Systems, v.10, no.2, pp 285 - 297
- Pages
- 13
- Indexed
- SCOPUS
- Journal Title
- Journal of Algebraic Systems
- Volume
- 10
- Number
- 2
- Start Page
- 285
- End Page
- 297
- ISSN
- 2345-511X
2345-511X
- Abstract
- The notion of commutative falling intuitionistic fuzzy ideal of a BCK-algebra is introduced and related properties are investigated. We verify that every commutative intuitionistic fuzzy ideal is a commutative falling intuitionisticfuzzy ideal, and provide example to show that a commutative falling intuitionistic fuzzy ideal is not a commutative intuitionistic fuzzy ideal. Relations between a falling intuitionistic fuzzy ideal and a commutative falling intuitionistic fuzzy ideal are considered, and a condition for a falling intuitionistic fuzzy ideal to be a commutative falling intuitionistic fuzzy ideal is provided.
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