Korean J. Math. Vol. 29 No. 3 (2021) pp.563-576
DOI: https://doi.org/10.11568/kjm.2021.29.3.563

Intuitionistic fuzzy PMS-subalgebra of a PMS-algebra

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Published: Sep 6, 2021
Keywords:
PMS-algebra, PMS-subalgebra, Intuitionistic fuzzy PMS-subalgebra, Intuition- istic fuzzy PMS-level subalgebra.
Mathematics Subject Classification:
08A72, 06F99, 03B20.

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Beza Lamesgin Derseh
Department of Mathematics, Debre Markos University, Debre Markos, Ethiopia
Berhanu Assaye Alaba
Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia
Yohannes Gedamu Wondifraw
Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia

Abstract

In this paper, we introduce the notion of intuitionistic fuzzy PMS-subalgebra of a PMS-algebra. The idea of level subsets of an intuitionistic fuzzy PMS-subalgebra of a PMS-algebra is introduced. The relation between intuitionistic fuzzy sets and their level sets in a PMS-algebra is examined, and some interesting results are obtained.



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