Lukasiewicz fuzzy subalgebras in BCK-algebras and BCI-algebras
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The idea of Lukasiewicz t-norm is used to construct the concept of Lukasiewicz fuzzy sets based on a given fuzzy set. The Lukasiewicz fuzzy sets are applied to BCK-algebras and BCI-algebras. Moreover, the notion of Lukasiewicz fuzzy subalgebra is introduced and its various properties are investigated. Three types of subsets so called ∈-set, q-set and O-set are constructed, and the conditions under which they can be subalgebras are explored.
Abstract
The idea of Lukasiewicz t-norm is used to construct the concept of Lukasiewicz fuzzy sets based on a given fuzzy set. The Lukasiewicz fuzzy sets are applied to BCK-algebras and BCI-algebras. Moreover, the notion of Lukasiewicz fuzzy subalgebra is introduced and its various properties are investigated. Three types of subsets so called ∈-set, q-set and O-set are constructed, and the conditions under which they can be subalgebras are explored.
참고문헌 (9)
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