Construction of some algebras of logic by using fuzzy ideals in mv-modules
Mahmood Bakhshi, Sun Shin Ahn, Young Bae Jun, Xiao Long Xin, R. A. Borzooei · Journal of Intelligent & Fuzzy Systems · 2022
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.