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Almost phi-fuzzy semi-ideals in groupoids
- Authors
- Kim, Hee Sik; Neggers, Joseph; Ahn, Sun Shin
- Issue Date
- 2019
- Publisher
- IOS PRESS
- Keywords
- almost phi-fuzzy subalgebra (semi-ideal); BCK/BC1-algebra; (weakly) vanishing; (pre-) level subset; (weak) fuzzy subalgebra property; (mu,phi)-(extreme, special); e-ideal; Bin(X)
- Citation
- JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v.36, no.6, pp 5361 - 5368
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
- Volume
- 36
- Number
- 6
- Start Page
- 5361
- End Page
- 5368
- ISSN
- 1064-1246
1875-8967
- Abstract
- In this paper, we introduce the notions of an almost phi-fuzzy subalgebra and an almost phi-fuzzy semi-ideal in groupoids by using the concept of a function. This concepts are generalizations of a fuzzy subalgebra and a fuzzy ideal in groupoids respectively. We discuss some relations between almost phi-fuzzy subalgebras and vanishing, level subsets. By introducing the notions of (mu, phi)-extremes, e-ideals, we obtain several properties of almost phi-fuzzy subalgebras. The relations between almost phi-fuzzy semi-ideals and (mu, phi)-special elements are discussed. Finally we discuss fuzzy algebraic structures of almost phi-fuzzy semi-ideals by diagrams.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)