Results 61 to 70 of about 269 (166)
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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Discrete Dynamics in Nature and Society, 2016 We introduce the concept of generalized fuzzy module of BCK-algebras and present some fundamental properties. Also, we introduce the concept of generalized interval-valued fuzzy BCK-submodule and present some fundamental properties.
M. M. Altaiary +2 more
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Classifications of Hyper Pseudo BCK-algebras of Order 3
Ratio Mathematica, 2012 In this paper by considering the notion of hyper pseudo BCK-algebra, we classify the set of all non-isomorphic hyper pseudo BCK-algebras of order 3. For this, we define the notion of simple and normalcondition and we characterize the all of hyper pseudo ...
R. A. Borzooei, A. Rezazadeh, R. Ameri
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Rough and T-Rough Sets Arising from Intuitionistic Fuzzy Ideals in BCK-Algebras
MathematicsThis paper presents the novel concept of rough intuitionistic fuzzy ideals within the realm of BCK-algebras and investigates their fundamental properties.
Kholood M. Alsager, Sheza M. El-Deeb
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On sensible fuzzy ideals of BCK-algebras with respect to a t-conorm
International Journal of Mathematics and Mathematical Sciences, 2006 We introduce the notion of sensible fuzzy ideals of BCK-algebras with respect to a t-conorm and investigate some of their properties. We give the conditions for a sensible fuzzy subalgebra with respect to a t-conorm to be a sensible fuzzy ideal with ...
M. Akram, Jianming Zhan
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Intuitionistic fuzzy ideals of BCK-algebras
International Journal of Mathematics and Mathematical Sciences, 2000 We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK ...
Young Bae Jun, Kyung Ho Kim
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Selected Properties of Some Generalizations of BCK Algebras
Discussiones Mathematicae - General Algebra and Applications, 2020 The notion of a RM algebra, introduced recently, is a generalization of many other algebras of logic. The class of RM algebras contains (weak-)BCC algebras, BCH algebras, BCI algebras, BCK algebras and many others. A RM algebra is an algebra A = (A; →, 1)
Dymek Grzegorz
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Engel, Nilpotent and Solvable BCI-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we define the concepts of Engel, nilpotent and solvable BCI-algebras and investigate some of their properties. Specially, we prove that any BCK-algebra is a 2-Engel.
Mohammadzadeh Elahe, Borzooei Rajab Ali
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On RM-algebras with an additional condition [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we apply a new condition to RM-algebras. We obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %It is proved We prove that the relation derived from this
Akbar Rezaei
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HEREDITARY SUBALGEBRAS OF BCK-ALGEBRAS
Demonstratio Mathematica, 1996 The leading motivation for BCK-algebras comes from algebraic logic: a BCK-algebra \({\mathbf A}= \langle A; \cdot, 0\rangle\) is the algebraic counterpart of a purely implicational calculus in which \(0\) corresponds to truth, \(x\cdot y\) is interpreted as \(y\to x\) and \(x\cdot y= 0\) as \(\lvdash y\to x\).
Raftery, J. G., Sturm, T.
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