Lattice structure on some fuzzy algebraic systems |
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| Authors: | R. A. Borzooei M. Bakhshi M. Mashinchi |
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| Affiliation: | (1) Department of Mathematics, Shahid Beheshti University, Tehran, Iran;(2) Department of Mathematics, Bojnord University, Bojnord, Iran;(3) Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran |
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| Abstract: | In this paper, we study the lattice structure of some fuzzy algebraic systems such as (G-)fuzzy groups, some fuzzy ordered algebras and fuzzy hyperstructures. We prove that under suitable conditions, these structures form a distributive or modular lattice. This research partially is supported by the “ Fuzzy Systems and its Applications Center of Excelence, Shahid Bahonar University of Kerman, Iran”. |
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| Keywords: | Distributive (Modular) lattice (BCC) BCK-algebra Fuzzy (normal) subgroup G-fuzzy subgroup Fuzzy hyperideal |
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