Construction of some algebras of logic by using fuzzy ideals in mv-modules

M. Bakhshi, S. S. Ahn, Y. B. Jun, X. L. Xin, R. A. Borzooei

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)4509-4519
Number of pages11
JournalJournal of Intelligent and Fuzzy Systems
Volume44
Issue number3
DOIs
StatePublished - 2023

Keywords

  • distributive lattice
  • fuzzy A-ideal
  • fuzzy congruence
  • mv-module

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