Results 1 to 10 of about 88 (63)

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
doaj   +5 more sources

An Injective Pseudo-BCI Algebra is Trivial [PDF]

Discussiones 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   +14 more sources

P-CLOSURE IN PSEUDO BCI-ALGEBRAS [PDF]

Journal 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]

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, Yingcang Ma, Florentin Smarandache   +2 more
doaj   +3 more sources

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

Journal 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, Habib Harizavi, Tayebeh Koochakpoor   +2 more
doaj   +2 more sources

ON MINIMALITY IN PSEUDO-BCI-ALGEBRAS [PDF]

Communications 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

BCK/BCI-ALGEBRAS WITH PSEUDO-VALUATIONS

Honam Mathematical Journal, 2010
Using the Buneag's model ([1, 2, 3]), the notion of pseudo-valuations (valuations) on a -algebra is introduced, and a pseudo-metric is induced by a pseudo-valuation on -algebras. Based on the notion of (pseudo) valuation, we show that the binary operation in -algebras is uniformly continuous.
Min-Su Kang
exaly   +3 more sources

An ordered structure of pseudo-BCI-algebras [PDF]

Mathematica Bohemica, 2016
To any pseudo-BCI-algebra [the reviewer and \textit{Y. B. Jun}, East Asian Math. J. 24, No. 2, 187--190 (2008; Zbl 1149.06010)], two binary operations (each of them being similar to that of a directoid) and a set of couples of antitone mappings is assigned which are in a certain sense mutually inverse.
Ivan Chajda, Helmut Länger
  +10 more sources

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

Mathematica 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

Mathematics, 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