FUZZY GENERALISED LATTICE ORDERED GROUPS (FUZZY $gl$-GROUPS) BASED ON A FUZZY PARTIAL ORDERING RELATION (FUZZY POREL)
Keywords:
poset, lattice, generalised lattice, l-group, fuzzy set and fuzzy latticeDOI:
https://doi.org/10.17654/0973421X24002Abstract
A fuzzy relation defined on a non-empty set is called a fuzzy partial ordered relation if it satisfies reflexive, anti-symmetric and transitive relations. A non-empty set together with a fuzzy partial ordered relation is called a fuzzy poset. A generalised lattice ordered group (gl-group) is a system in which the underlying set is a generalised lattice as well as a group. This article deals with the concept of a fuzzy generalised lattice ordered group (fuzzy gl-group) based on a fuzzy partial ordering relation (fuzzy porel).
Received: November 2, 2023;
Accepted: December 29, 2023
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