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- W3209669944 abstract "In the field of many valued logic, lattice valued logic (especially ideals) plays an important role. Nowadays, lattice valued logic is becoming a research area. Researchers introduced weak LI-ideals of lattice implication algebra. Furthermore, other scholars researched LI-ideals of implicative almost distributive lattice. Therefore, the target of this paper was to investigate new development on the extension of LI-ideal theories and properties in implicative almost distributive lattice. So, in this paper, the notion of weak LI-ideals and maximal weak LI- ideals of implicative almost distributive lattice are defined. The properties of weak LI- ideals in implicative almost distributive lattice are studied and several characterizations of weak LI-ideals are given. Relationship between weak LI-ideals and weak filters are explored. Hence, the extension properties of weak LI-ideal of lattice implication algebra to that of weak LI-ideal of implicative almost distributive lattice were shown." @default.
- W3209669944 created "2021-11-08" @default.
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- W3209669944 date "2021-10-08" @default.
- W3209669944 modified "2023-09-29" @default.
- W3209669944 title "Weak LI-ideals in implicative almost distributive lattices" @default.
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- W3209669944 doi "https://doi.org/10.4314/ejst.v14i3.2" @default.
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