Results 11 to 20 of about 226 (154)
Neutrosophic Quadruple BCK/BCI-Algebras [PDF]
Axioms, 2018 The notion of a neutrosophic quadruple BCK/BCI-number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative)
Young Bae Jun +3 more
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Engel BCI-algebras: an application of left and right commutators [PDF]
Mathematica Bohemica, 2021 We introduce Engel elements in a BCI-algebra by using left and right normed commutators, and some properties of these elements are studied. The notion of $n$-Engel BCI-algebra as a natural generalization of commutative BCI-algebras is introduced, and we ...
Ardavan Najafi, Arsham Borumand Saeid
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On the Isotopy of some Varieties of Fenyves Quasi Neutrosophic Triplet Loop (Fenyves BCI-algebras) [PDF]
Neutrosophic Sets and Systems, 2020 Neutrosophy theory has found application in health sciences in recent years. There is the need to develop neutrosophic algebraic systems which are good and appropriate for studying and understanding the effects of diseases and their possible treatments.
Temitope Gbolahan Jaiyéolá +3 more
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Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms [PDF]
Neutrosophic Sets and Systems, 2020 Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras.
Anas Al-Masarwah, Abd Ghafur Ahmad
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Generalization of Fuzzy Soft BCK/BCI-Algebras
Journal of Mathematics, 2021 In this paper, the notions of ∈,∈∨q-fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft sub-BCK/BCI-algebras are introduced, and related properties are investigated.
N. Alam +5 more
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Quasi-Algebras versus Regular Algebras - Part I [PDF]
Scientific Annals of Computer Science, 2015 Starting from quasi-Wajsberg algebras (which are generalizations of Wajsberg algebras), whose regular sets are Wajsberg algebras, we introduce a theory of quasi-algebras versus, in parallel, a theory of regular algebras.
A. Iorgulescu
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A Novel Approach to the Algebraic Structure of Neutrosophic SuperHyper Algebra [PDF]
Neutrosophic Sets and Systems, 2023 Hyperalgebras and BCI algebras extend classical algebraic structures, and these specific structures offer tools and frameworks for studying various operations and logic in algebra.
S. Santhakumar +2 more
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Neutrosophic Regular Filters and Fuzzy Regular Filters in Pseudo-BCI Algebras [PDF]
Neutrosophic Sets and Systems, 2017 Neutrosophic set is a new mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. Pseudo-BCI algebra is a kind of non-classical logic algebra in close connection with various non-commutative fuzzy logics ...
Xiaohong Zhang +2 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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On f‐derivations of BCI‐algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The notion of left‐right (resp., right‐left) f‐derivation of a BCI‐algebra is introduced, and some related properties are investigated. Using the idea of regular f‐derivation, we give characterizations of a p‐semisimple BCI‐algerba.
Jianming Zhan 0001, Yong Lin Liu
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