Abstract
The so-called ideal and subalgebra and some additional concepts of N(2,2,0) algebras are discussed. A partial order and congruence relations on N(2,2,0) algebras are also proposed, and some properties are investigated.
Highlights
In the past years, fuzzy algebras and their axiomatization have become important topics in theoretical research and in the applications of fuzzy logic
The implication connective plays a crucial role in fuzzy logic and reasoning [1, 2]
It is meaningful to investigate the common properties of some important fuzzy implications used in fuzzy logic
Summary
Fuzzy algebras and their axiomatization have become important topics in theoretical research and in the applications of fuzzy logic. A partial order and congruence relations on N(2, 2, 0) algebras are proposed, and some properties are investigated. Let (S, ∗, Δ, 0) be N(2, 2, 0) algebra and let the following hold for every x in S: x ∗ 0 = x; (S, ∗) is a commutative semigroup.
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