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).

poset, lattice, generalised lattice, l-group, fuzzy set and fuzzy lattice

Received: November 2, 2023; Accepted: December 29, 2023; Published: March 14, 2024

How to cite this article: Parimi Radhakrishna Kishore, Sileshe Gone Korma and Zelalem Teshome Wale, Fuzzy generalised lattice ordered groups (fuzzy gl-groups) based on a fuzzy partial ordering relation (fuzzy porel), Advances in Fuzzy Sets and Systems 29(1) (2024), 25-37. http://dx.doi.org/10.17654/0973421X24002

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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