Abstract
We study the lattice structure of fuzzy A-ideals in an mv-module M (fai (M), symbolically) and show that it is a complete Heyting lattice and so the set of its pseudocomplements forms a Boolean algebra. In the sequel, the properties of fuzzy congruences in an mv-module are investigated and using them some structural theorems are stated and proved. Finally, it is proved that fai (M) can be embedded into the lattice of fuzzy congruences.
Original language | English |
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Pages (from-to) | 4509-4519 |
Number of pages | 11 |
Journal | Journal of Intelligent and Fuzzy Systems |
Volume | 44 |
Issue number | 3 |
DOIs | |
State | Published - 2023 |
Keywords
- distributive lattice
- fuzzy A-ideal
- fuzzy congruence
- mv-module