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Bounded BCK-algebras of fractions and maximal BCK-algebra of quotients
Soft Computing, 2012In a joint paper by \textit{D. Piciu} and \textit{D. D. Tascau} [Adv. Pure Math. 1, No. 6, 367--377 (2011; Zbl 1260.06026)], the theory of multipliers, algebras of fractions and maximal algebras of quotients was developed for bounded commutative BCK-algebras.
Dumitru Buşneag, Dana Piciu
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Implicative Pseudo-BCK Algebras and Implicative Pseudo-Filters of Pseudo-BCK Algebras
The notions of 1-type implicative pseudo-BCK algebra and 2-type implicative pseudo-BCK algebra are introduced, and the relations among 1-type (2-type) implicative pseudo-BCK algebras and implicative BCK-algebras. Moreover, the notion of implicative pseudo-filter is introduced, and a characterization of bounded 1-type (2-type) implicative pseudo-BCK ...
Xiaohong Zhang 0001, Hongjuan Gong
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Neutrosophic BCK-algebra and Ω-BCK-algebra
International Journal of Neutrosophic Science, 2022In this paper, we study neutrosophic of one important types of algebra namely BCK-algebra. Some new results of a generalization of BCK-algebra (Ω-BCK-algebra) have been introduced. Several facts about neutrosophic Ω-BCK-algebra are presented such as neutrosophic of homomorphic image and neutrosophic of kernel homomorphism.
Saad H. Zail +2 more
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Pseudo-BCK Algebras: An Extension of BCK Algebras
2001We extend BCK algebras to pseudo-BCK algebras, as MV algebras and BL algebras were extended to pseudo-MV algebras and pseudo-BL algebras, respectively. We make the connection with pseudo-MV algebras and with pseudo-BL algebras.
George Georgescu, Afrodita Iorgulescu
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2009 IEEE International Conference on Fuzzy Systems, 2009
By using the concept of fuzzy points, we generalize the notion of hyper BCK-algebra and the notions of fuzzy point hyper BCK-(sub) algebras, fuzzy point (weak, strong) hyper BCK-ideals, quasi hyper BCK-(sub) algebras and quasi (weak, strong) hyper BCK-ideals are introduced. The relationship between these notions are stated and proved.
Arsham Borumand Saeid, Lida Torkzadeh
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By using the concept of fuzzy points, we generalize the notion of hyper BCK-algebra and the notions of fuzzy point hyper BCK-(sub) algebras, fuzzy point (weak, strong) hyper BCK-ideals, quasi hyper BCK-(sub) algebras and quasi (weak, strong) hyper BCK-ideals are introduced. The relationship between these notions are stated and proved.
Arsham Borumand Saeid, Lida Torkzadeh
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Information Sciences, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun, Seok-Zun Song
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun, Seok-Zun Song
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