Results 31 to 40 of about 202 (72)
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 1, Page 47-54, 2002., 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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International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 49-56, 2002., 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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, 2013 It has been found that the BCL-algebra is more extensive class than BCK/BCI/BCH algebra. In this paper we study some properties of BCL-algebra of type (2,0) We also find deformation of such algebra and illustrate the connection between divisible ...
Al-Kadi, Deena Sobhi +1 more
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Fuzzy implicative hyper BCK‐ideals of hyper BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 63-70, 2002., 2002 We consider the fuzzification of the notion of implicative hyper BCK‐ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK‐ideal. We state a relation between a fuzzy hyper BCK‐ideal and a fuzzy implicative hyper BCK‐ideal.
Young Bae Jun, Wook Hwan Shim
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On some classes of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 205-211, 2001., 2001 The concept of a BCH‐algebra is a generalization of the concept of a BCI‐algebra. It is shown that weakly commutative BCH‐algebras are weakly commutative BCI‐algebras. Moreover, the concepts of weakly positive implicative and weakly implicative BCH‐algebras are defined and it is shown that every weakly implicative BCH‐algebra is a weakly positive ...
Muhammad Anwar Chaudhry +1 more
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Fuzzy BCI‐subalgebras with interval‐valued membership functions
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 2, Page 135-143, 2001., 2001 The purpose of this paper is to define the notion of an interval‐valued fuzzy BCI‐subalgebra (briefly, an i‐v fuzzy BCI‐subalgebra) of a BCI‐algebra. Necessary and sufficient conditions for an i‐v fuzzy set to be an i‐v fuzzy BCI‐subalgebra are stated. A way to make a new i‐v fuzzy BCI‐subalgebra from old one is given.
Sung Min Hong +3 more
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Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper, the notion of a QI-algebra is introduced which is a generalization of a BI-algebra and there are studied its properties. We considered ideals, congruence kernels in a QI-algebra and characterized congruence kernels whenever a QI-algebra is
Bandaru Ravi Kumar
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, 2012 We characterize weak BCC-algebras in which the identity $(xy)z=(xz)y$ is satisfied only in the case when elements $x,y$ belong to the same ...
Bunder W. M. +23 more
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On n‐fold fuzzy implicative/commutative ideals of BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 419-424, 2001., 2001 We consider the fuzzification of the notion of an n‐fold implicative ideal, an n‐fold (weak) commutative ideal. We give characterizations of an n‐fold fuzzy implicative ideal. We establish an extension property for n‐fold fuzzy commutative ideals.
Young Bae Jun
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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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