Results 1 to 10 of about 643 (188)
On t-Derivations of BCI-Algebras [PDF]
Abstract and Applied Analysis, 2012 We introduce the notion of t-derivation of a BCI-algebra and investigate related properties. Moreover, we study t-derivations in a p-semisimple BCI-algebra and establish some results on t-derivations in a p-semisimple BCI-algebra.
G. Muhiuddin, Abdullah M. Al-roqi
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Opuscula Mathematica, 2009 In this note, by using the concept of vague sets, the notion of vague \(BCK/BCI\)-algebra is introduced. And the notions of \(\alpha\)-cut and vague-cut are introduced and the relationships between these notions and crisp subalgebras are studied.
Arsham Borumand Saeid
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m-Polar Fuzzy B-ideal of B-algebra [PDF]
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2023 B-algebra is an algebraic structure related to BCI/BCK-algebra. Many researchers have studied fuzzy B-ideal on B-algebra, m-polar fuzzy set on BCI-algebra and B-algebra, m-polar fuzzy subalgebra on BCI-algebra and B-algebra, m-polar fuzzy ideal on BCI ...
Dian Kartika Amandani +2 more
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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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Neutrosophic quadruple ideals in neutrosophic quadruple BCI-algebras [PDF]
Neutrosophic Sets and Systems, 2019 In the present paper, we discuss the Neutrosophic quadruple q-ideals and (regular) neutrosophic quadruple ideals and investigate their related properties.
G. Muhiuddin +2 more
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International Journal of Mathematics and Mathematical Sciences, 2012 We associate a graph to any subset Y of a BCI-algebra X and denote it by G(Y). Then we find the set of all connected components of G(X) and verify the relation between X and G(X), when X is commutative BCI-algebra or G(X) is complete graph or n-star ...
Omid Zahiri, Rajab Ali Borzooei
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On Some Fuzzy Filters in Pseudo-BCI Algebras [PDF]
The Scientific World Journal, 2014 Some new properties of fuzzy associative filters (also known as fuzzy associative pseudo-filters), fuzzy p-filter (also known as fuzzy pseudo-p-filters), and fuzzy a-filter (also known as fuzzy pseudo-a-filters) in pseudo-BCI algebras are investigated ...
Xiaohong Zhang
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MBJ-neutrosophic structures and its applications in BCK/BCI-algebras [PDF]
Neutrosophic Sets and Systems, 2018 Smarandache (F. Smarandache. Neutrosophy, neutrosophic probability, set, and logic, ProQuest Information & Learning, Ann Arbor,Michigan, USA, 105 p., 1998) initiated neutrosophic sets which can be used as a mathematical tool for dealing with ...
M. Mohseni Takallo +2 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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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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