Results 141 to 150 of about 296 (172)
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Journal of Intelligent & Fuzzy Systems, 2016
In this paper, the notions of commutators and pseudo commutators of elements (subsets) of a BCI-algebra are introduced and some properties are given. The concept of solvable BCI-algebras are also discussed and their properties are investigated. It is proved that the class of solvable BCI-algebras is closed under sub-algebra, cartesian product and ...
Ardavan Najafi +2 more
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In this paper, the notions of commutators and pseudo commutators of elements (subsets) of a BCI-algebra are introduced and some properties are given. The concept of solvable BCI-algebras are also discussed and their properties are investigated. It is proved that the class of solvable BCI-algebras is closed under sub-algebra, cartesian product and ...
Ardavan Najafi +2 more
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Periodic BCI-algebras and Subgroups of Adjoint Monoids of BCI-algebras
Semigroup Forum, 1998Let \((X,\cdot,0)\) be a BCI-algebra. The set \(M(X)\) of all finite compositions of right shifts \(\rho_{a}(x)=xa\) is a commutative monoid with the unit \(\rho_{0}\). It is proved that there is a bijection from p-semisimple closed ideals of a BCI-algebra \(X\) to subgroups of \(M(X)\).
Huang, Wenping, Sun, Dajun
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BCI-Algebras and Related Logics
The Australasian Journal of Logic, 2022Kabzinski in [6] first introduced an extension of BCI-logic that is isomorphic to BCI-algebras. Kashima and Komori in [7] gave a Gentzen-style sequent calculus version of this logic as well as another sequent calculus which they proved to be equivalent. They used the second to prove decidability of the word problem for BCI-algebras.
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International Journal of Theoretical Physics, 2013
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On derivation of pseudo BCI-algebras
Asian-European Journal of Mathematics, 2019In this paper, we introduce the notion of derivation of pseudo BCI-algebras and investigate some related properties.
Uzay D.S., Firat A.
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UNIFORM STRUCTURES IN BCI-ALGEBRAS
Communications of the Korean Mathematical Society, 2002Summary: We discuss the uniformity in \(BCI\)-algebras using Zhang's congruence relation.
Yoon, Dall Sun, Kim, Hee Sik
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Ideals and Subalgebras in BCI-Algebras
Southeast Asian Bulletin of Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Wenping, Jun, Young Bae
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2009 IEEE International Conference on Fuzzy Systems, 2009
In this note, by using the concept of vague sets, the notions of vague BCK/BCI-algebra is introduced. And the notions of α-cut and vague-cut is introduced and the relationship between these notions and crisp subalgebras are studied.
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In this note, by using the concept of vague sets, the notions of vague BCK/BCI-algebra is introduced. And the notions of α-cut and vague-cut is introduced and the relationship between these notions and crisp subalgebras are studied.
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Fuzzy H-ideals in BCI-algebras
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H. M. Khalid, B. Ahmad
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The Category of Semi-BCI Algebras
2018This paper introduces briefly the notion of SBCI algebras and its role as candidate to model Fuzzy and Interval Fuzzy Logics. Its main goal is to provide how such algebraic structures behaves from the categorical theoretical standpoint.
Jocivania Pinheiro +2 more
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