Abstract
In this paper, we introduce the notions of an almost φ-fuzzy subalgebra and an almost φ-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 φ-fuzzy subalgebras and vanishing, level subsets. By introducing the notions of (μ,φ)-extremes, e-ideals, we obtain several properties of almost φ-fuzzy subalgebras. The relations between almost φ-fuzzy semi-ideals and (μ,φ)-special elements are discussed. Finally we discuss fuzzy algebraic structures of almost φ-fuzzy semi-ideals by diagrams.
Original language | English |
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Pages (from-to) | 5361-5368 |
Number of pages | 8 |
Journal | Journal of Intelligent and Fuzzy Systems |
Volume | 36 |
Issue number | 6 |
DOIs | |
State | Published - 2019 |
Keywords
- (μφ)-(extreme
- Almost φ-fuzzy subalgebra (semi-ideal)
- BCK/BCI-algebra
- Bin(X)
- E-ideal
- Pre- level subset
- Special)
- Weak fuzzy subalgebra property
- Weakly vanishing