L-valued Intuitionistic L-fuzzy Generalised Lattice Ordered Groups of the Type 3


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Authors

  • Parimi Radhakrishna Kishore Department of Mathematics, Arba Minch University, Arba Minch, Ethiopia
  • Sisay Tadesse Taye Department of Mathematics, SRM University, Neerukonda, Andhra Pradesh, India
  • Zelalem Teshome Wale Department of Mathematics, Addis Ababa University, Addis Ababa, Ethiopia

Keywords:

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

Abstract

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 L-valued intuitionistic L-fuzzy gl-subgroup of the type 3 (IFgl-subgroup of type 3) of a gl-group. Introduced the concept L-valued intuitionistic L-fuzzy gl-subgroup of the type 3 (IFgl-subgroup of type 3) of a gl-group and characterized by the level subsets and discussed some equivalent conditions. Finally proved that intersection of any family of L-valued intuitionistic L-fuzzy gl-subgroups of the type 3 (IFgl-subgroups of type 3) of a gl-group is again an IFgl-subgroup of type 3.

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Published

20-05-2024

How to Cite

Parimi Radhakrishna Kishore, Sisay Tadesse Taye, & Zelalem Teshome Wale. (2024). L-valued Intuitionistic L-fuzzy Generalised Lattice Ordered Groups of the Type 3. International Journal of Mathematics And Its Applications, 12(2), 43–50. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1473

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Section

Research Article