Fuzzy Ideals and Fuzzy Congruences of a Generalised Lattice


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Authors

  • P. Radha Krishna Kishore Department of Mathematics, Arba Minch University, P.O.Box 21, Arba Minch, Ethiopia
  • Mulugeta Habte Melesse Department of Mathematics, Arba Minch University, P.O.Box 21, Arba Minch, Ethiopia

Keywords:

Poset, Lattice, Fuzzy lattice, Fuzzy ideal, Fuzzy congruence

Abstract

This paper deals with the correspondence between fuzzy ideals, fuzzy filters and fuzzy congruences in a generalised lattice. Proved that lattice of fuzzy ideals (fuzzy filters) of a generalised lattice is isomorphic to the lattice of fuzzy ideals of a corresponding lattice. Finally observed that the lattice of fuzzy ideals of a type of generalised lattice is isomorphic to the lattice of fuzzy congruences of that.

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Published

15-09-2020

How to Cite

P. Radha Krishna Kishore, & Mulugeta Habte Melesse. (2020). Fuzzy Ideals and Fuzzy Congruences of a Generalised Lattice. International Journal of Mathematics And Its Applications, 8(3), 187–191. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/142

Issue

Vol. 8 No. 3 (2020)

Section

Research Article

License

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