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

Autor: Derseh, Beza Lamesgin, Wondifraw, Yohannes Gedamu, Alaba, Berhanu Assaye
Zdroj: New Mathematics & Natural Computation; Jul2023, Vol. 19 Issue 2, p503-524, 22p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index