Results 1 to 10 of about 86 (62)

On Some Fuzzy Filters in Pseudo-BCI Algebras [PDF]

open access: yesThe 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
doaj   +5 more sources

An Injective Pseudo-BCI Algebra is Trivial [PDF]

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
Injective pseudo-BCI algebras are studied. There is shown that the only injective pseudo-BCI algebra is the trivial one.
Dymek Grzegorz
doaj   +13 more sources

P-CLOSURE IN PSEUDO BCI-ALGEBRAS [PDF]

open access: yesJournal of Algebraic Systems, 2020
In this paper, for any non-empty subset C of a pseudo BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is introduced and some related properties are investigated.
H. Harizavi
doaj   +2 more sources

Neutrosophic Regular Filters and Fuzzy Regular Filters in Pseudo-BCI Algebras [PDF]

open access: yesNeutrosophic 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
doaj   +3 more sources

ON MINIMALITY IN PSEUDO-BCI-ALGEBRAS [PDF]

open access: yesCommunications of the Korean Mathematical Society, 2012
Abstract. In this paper we consider pseudo- BCK=BCI -algebras. Inparticular, we consider properties of minimal elements ( x a implies x = a ) in terms of the binary relation which is reexive and anti-symmetric along with several more complicated conditions.
Young-Hee Kim, Keum-Sook So
exaly   +2 more sources

On the generalization of pseudo p-closure in pseudo BCI-algebras [PDF]

open access: yesJournal of Hyperstructures
In this paper, the notion of generalization of pseudo p-closure, denoted by gcl, is introduced and its related properties are investigated. The gcl of subalgebras and pseudo-ideals is discussed.
Padena Pirzadeh Ahvazi   +2 more
doaj   +2 more sources

An ordered structure of pseudo-{\rm BCI}-algebras [PDF]

open access: yesMathematica Bohemica, 2016
In Chajda's paper (2014), to an arbitrary BCI-algebra the author assigned an ordered structure with one binary operation which possesses certain antitone mappings.
Ivan Chajda, Helmut Länger
doaj   +1 more source

Filters in Strong BI-Algebras and Residuated Pseudo-SBI-Algebras

open access: yesMathematics, 2020
The concept of basic implication algebra (BI-algebra) has been proposed to describe general non-classical implicative logics (such as associative or non-associative fuzzy logic, commutative or non-commutative fuzzy logic, quantum logic).
Xiaohong Zhang, Xiangyu Ma, Xuejiao Wang
doaj   +1 more source

Some results on pseudo-Q algebras

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017
The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudo-Q algebra to be a dual pseudo-QC algebra are given. Commutative dual pseudo-QC
Akbar Rezaei   +2 more
doaj   +1 more source

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