Characterizations of $\mathrm{BCI, BCK}$-algebras
نویسندگان
چکیده
منابع مشابه
Characterizations of Doubt Fuzzy H-ideals in Bck-algebras
In this paper, we introduce the concept of doubt fuzzy H-ideals in BCKalgebras and study its some properties. Moreover, we provide characterizations of H-Artin BCK-algebras in terms of doubt fuzzy H-ideals.
متن کاملINTUITIONISTIC FUZZY HYPER BCK-IDEALS OF HYPER BCK-ALGEBRAS
The intuitionistic fuzzification of (strong, weak, s-weak) hyperBCK-ideals is introduced, and related properties are investigated. Characterizationsof an intuitionistic fuzzy hyper BCK-ideal are established. Using acollection of hyper BCK-ideals with some conditions, an intuitionistic fuzzyhyper BCK-ideal is built.
متن کاملFilteristic soft BCK-algebras
We study the soft sets applied on the structure of filters of BCK-algebras. A connection between soft BCK-algebras and filteristic soft BCK-algebras is given also. Finally, important operations such as intersection, union, “AND”, “OR”, and subset operations of soft filters and filteristic soft BCK-algebras are investigated.
متن کاملNegation and BCK-algebras
In this paper we consider twelve classical laws of negation and study their relations in the context of BCKalgebras. A classification of the laws of negation is established and some characterizations are obtained. For example, using the concept of translation we obtain some characterizations of Hilbert algebras and commutative BCK-algebras with minimum. As a consequence we obtain a theorem rela...
متن کاملREDEFINED FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS
Using the notion of anti fuzzy points and its besideness to and nonquasi-coincidence with a fuzzy set, new concepts in anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their properties and relationships are investigated.
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1966
ISSN: 0386-2194
DOI: 10.3792/pja/1195522126