Results 21 to 30 of about 107 (100)
T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2653-2665, 2003., 2003 The concept of fuzzy multiply positive BCC‐ideals of BCC‐algebras is introduced, and then some related results are obtained. Moreover, we introduce the concept of T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras and investigate T‐product of T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras, examining its properties. Using
Jianming Zhan, Zhisong Tan
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On branchwise implicative BCI‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 417-425, 2002., 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‐algebras.
Muhammad Anwar Chaudhry
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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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Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, the concepts of n-fold implicative ideals and n-fold obstinate ideals in BL-algebras are introduced. With respect to this concepts, some related results are given. In particular, it is proved that an ideal is an n-fold implicative ideal if
Paad Akbar
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Open Mathematics, 2020 In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
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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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Study hoop algebras by fuzzy (n-fold) obstinate filters
Topological Algebra and its Applications, 2023 In this article, we introduce the concept of fuzzy (n-fold) obstinate filter on hoop algebras and study some of the properties. We define and study fuzzy prime filter and fuzzy n-fold implicative filter on hoop algebras.
Namdar Ameneh, Saeid Arsham Borumand
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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
wiley +1 more source
Cubic Intuitionistic Structures Applied to Ideals of BCI-Algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, the notion of closed cubic intuitionistic ideals, cubic intuitionistic p-ideals and cubic intuitionistic a-ideals in BCI-algebras are introduced, and several related properties are investigated.
Senapati Tapan +3 more
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Generalized Rough Sets Applied to BCK/BCI-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The concept of a (strong) set-valued BCK/BCI-morphism in BCK/BCI-algebras is considered, and several properties are investigated. Conditions for a set-valued mapping to be a set-valued BCK/BCI-morphism are given.
Jun Young Bae +2 more
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