Intuitionistic Q-Fuzzy PMS-Subalgebras and Their Level Subsets in a PMS-Algebra

Beza Lamesgin Derseh, Yohannes Gedamu Wondifraw () and Berhanu Assaye Alaba ()
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Beza Lamesgin Derseh: Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia
Yohannes Gedamu Wondifraw: Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia
Berhanu Assaye Alaba: Department of Mathematics, Bahir Dar University, Bahir Dar, Ethiopia

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 02, 503-524

Abstract: In this paper, we introduce the notion of an intuitionistic Q-fuzzy PMS-subalgebra of a PMS-algebra by using the concept of intuitionistic Q-fuzzy subsets in a PMS-algebra and investigate some of their related properties. We define and study the level subsets of an intuitionistic Q-fuzzy PMS-subalgebra of a PMS-algebra and subsequently characterize an intuitionistic Q-fuzzy PMS-subalgebra in terms of its level subsets. In turn, we prove that every PMS-subalgebra of a PMS-algebra is also the level PMS-subalgebra of an intuitionistic Q-fuzzy PMS-subalgebra of a PMS-algebra.

Keywords: PMS-algebra; PMS-subalgebra; intuitionistic Q-fuzzy set (IQFS); intuitionistic Q-fuzzy PMS-subalgebra (IQF PMS-SA) and level PMS-subalgebra (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S1793005723500199

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