Korean J. Math. Vol. 32 No. 2 (2024) pp.195-211
DOI: https://doi.org/10.11568/kjm.2024.32.2.195

Fuzzy lattice ordered group based on fuzzy partial ordering relation

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Published: Jun 30, 2024
Keywords:
fuzzy lattice, fuzzy lattice ordered group (fl-group), fuzzy convex fl-subgroups, quotient of fl-groups
Mathematics Subject Classification:
08A72, 03E72, 06D72, 06F15

Main Article Content

Sileshe Gone Korma
Department of Mathematics, Arba Minch University, Arba Minch, Ethiopia.
https://orcid.org/0000-0001-7426-9027
Radhakrishna Kishore Parimi
Department of Mathematics, Arba Minch University, Arba Minch, Ethiopia.
Dawit Chernet Kifetew
Department of Mathematics, Arba Minch University, Arba Minch, Ethiopia.

Abstract

In this paper, we introduce the concept of a fuzzy lattice ordered group, which is based on a fuzzy lattice that Chon developed in his paper "Fuzzy Partial Order Relations and Fuzzy Lattice". We will also discuss fuzzy lattice-ordered groups in detail, provide several results that are analogous to the classical theory of lattice-ordered groups, and characterize the relationship between a fuzzy lattice-ordered group using its level set and support. Moreover, we define the concepts of $fl$-subgroups, quotients, and cosets of $fl$-groups and obtain some fundamental results for these fuzzy algebraic structures.



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Supporting Agencies

Arba Minch University

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