Results 1 to 10 of about 207 (135)
Interior BCK/BCI-Algebras [PDF]
International Journal of Computational Intelligence Systems, 2021 The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related ...
Sun Shin Ahn +2 more
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Fuzzy filters in BCI-algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 We introduce the notion of fuzzy filters and weak filters in BCI-algebras and discuss their properties. Then we establish some relations among filters, fuzzy filters, and weak filters in BCI-algebras.
C. Lele, C. Wu, T. Mamadou
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An Injective Pseudo-BCI Algebra is Trivial
Discussiones Mathematicae - General Algebra and Applications, 2019 Injective pseudo-BCI algebras are studied. There is shown that the only injective pseudo-BCI algebra is the trivial one.
Dymek Grzegorz
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On branchwise implicative BCI-algebras
International Journal of Mathematics and Mathematical Sciences, 2002 We introduce a new class of BCI-algebras, namely the class of branchwise implicative BCI-algebras. This class contains the class of implicative BCK-algebras, the class of weakly implicative BCI-algebras (Chaudhry, 1990), and the class of medial BCI ...
Muhammad Anwar Chaudhry
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Soft Translations and Soft Extensions of BCI/BCK-Algebras [PDF]
The Scientific World Journal, 2014 The concept of soft translations of soft subalgebras and soft ideals over BCI/BCK-algebras is introduced and some related properties are studied. Notions of Soft extensions of soft subalgebras and soft ideals over BCI/BCK-algebras are also initiated ...
Nazra Sultana +3 more
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Doubt fuzzy BCI-algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The aim of this note is to introduce the notion of doubt fuzzy p-ideals in BCI-algebras and to study their properties. We also solve the problem of classifying doubt fuzzy p-ideals and study fuzzy relations on BCI-algebras.
Zhan Jianming, Tan Zhisong
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Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun
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A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras
MathematicsThe concept of complex fuzzy sets, where the unit disk of the complex plane acts as the codomain of the membership function, as an extension of fuzzy sets. The objective of this article is to use complex fuzzy sets in BCK/BCI-algebras.
Kholood Alsager +2 more
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Graphs Based on BCK/BCI-Algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 The associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of (l-prime) quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of associative graph of a BCK/BCI-algebra is introduced,
Young Bae Jun, Kyoung Ja Lee
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International Journal of Mathematics and Mathematical Sciences, 2012 We associate a graph to any subset Y of a BCI-algebra X and denote it by G(Y). Then we find the set of all connected components of G(X) and verify the relation between X and G(X), when X is commutative BCI-algebra or G(X) is complete graph or n-star ...
Omid Zahiri, Rajab Ali Borzooei
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