A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Filters
Fuzzy BCK-Algebras
2020
Journal of Applied Mathematics and Physics
Preserved Fulltext
The purpose of this paper is to give the fuzzification of BCK-algebras and we study relationships between BCK-filters and lattice filters in BCK-algebras. ...
For the general development of BCK-algebras, the filter theory plays an important role as well as ideal theory. ...
Conflicts of Interest The authors declare no conflicts of interest regarding the publication of this paper. ...
doi:10.4236/jamp.2020.85071
fatcat:i26j4bztd5an7p4cuts5gtoqm4
Extensions of BCK-algebras
2016
Cogent Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
In this paper, we introduce the notion of sBCI/sBCK/eBCI/eBCK-algebras as a generalization of the notion of BCI/BCK-algebras. This structure is studied in detail. ...
, weak-R0 algebras, etc.) can be expressed as particular cases of BCK-algebras and the BCK-algebras are particular cases of BCI-algebras. ...
Funding The authors received no direct funding for this research.
Author details A. Radfar 1 ...
doi:10.1080/23311835.2016.1265297
fatcat:3adnlkrsczczddera3llbzxeuu
State BCK-algebras and State-Morphism BCK-algebras
[article]
2013
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
In the paper, we define the notion of a state BCK-algebra and a state-morphism BCK-algebra extending the language of BCK-algebras by adding a unary operator which models probabilistic reasoning. ...
In addition, we show the generators of quasivarieties of state-morphism BCK-algebras. ...
Note that if (X, * , 0) is a BCK-algebra such that (X, ≤) is a lattice, it is called a BCK-lattice. Then by [29, Thm 2.2.6], X satisfies the identity (x * y) ∧ (y * x) = 0. ...
arXiv:1304.6963v1
fatcat:rdvu2lqoc5gahip7x46bi7tane
Trees as commutative BCK-Algebras
1981
Bulletin of the Australian Mathematical Society
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
A new method of constructing commutative BCK-algebras is given. It depends upon the notion of a valuation of a lower semilattice in a given commutative BCK-algebra. ...
Thus, any tree of finite height possesses a uniquely determined commutative BCK-structure. ...
Corn i sh completely describe the lattice of subvarieties of the variety of commutative BCK-algebras satisfying the identity xy = xy
Valuations Because of Yutani [75] , a commutative BCK-algebra can ...
doi:10.1017/s0004972700007024
fatcat:qxmcmdsbn5bv7amszikt5xkl2m
Quotient hyper pseudo BCK-algebras
2013
Discussiones Mathematicae - General Algebra and Applications
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
In this paper, we first investigate some properties of the hyper pseudo BCK-algebras. ...
Then we define the concepts of strong and reflexive hyper pseudo BCK-ideals and establish some relationships among them and the other types of hyper pseudo BCK-ideals. ...
Acknowledgements The authors are deeply grateful to the referees for the valuable suggestions and comments. ...
doi:10.7151/dmgaa.1205
fatcat:akilcrv66zgrxinidgo5livsc4
Fuzzy ideals of pseudo-BCK Algebras
2012
Demonstratio Mathematica
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
AbstractCharacterizations of fuzzy ideals of a pseudo-BCK algebra are established. Conditions for a fuzzy set to be a fuzzy ideal are given. Given a fuzzy set ...
The authors thank the referee for his/her remarks which were incorporated into this revised version. ...
Given a fuzzy set µ, we make the least fuzzy ideal containing µ. This leads us to show that the set of fuzzy ideals of a pseudo-BCK algebra is a complete lattice. ...
doi:10.1515/dema-2013-0346
fatcat:cep2rrpb6jeephvl2dpty7gt3a
COMMUTATIVE BCK-ALGEBRAS WITH PRODUCT
2000
Demonstratio Mathematica
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
We show that the category of product BCK-algebras is categorically equivalent to the category of ¿-rings with special properties. ...
We introduce a product on commutative BCK-algebras with the relative cancellation property, i.e., commutative BCK-algebras (X; *, 0) satisfying the condition for x,y,a G X, with a < x, a < y and x * a ...
It follows ideas developed in above and in [BDG] , and from the observation that an element u of X is a quasi strong unit iff the ideal of X generated by u is equal to X. u
Ideals in product BCK-algebras ...
doi:10.1515/dema-2000-0102
fatcat:kcw2jecf65f5tdr4rorn6n7t5e
On S-topological Bck-algebra
2020
The Journal of The University of Duhok
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
The aim of this paper is to introduce the concept of s- topological BCK-algebras which is a BCK-algebra equipped with a spe- cial type of topology that makes the operation defined on it s-topologically ...
Deeba studied the topological aspects of the BCK-structure in a mode comparable to the study of topological groups, rings and lattices. ...
Lee and Rio in [3] studied the topological structures making the star operation of BCK-algebra continuous and they found nice properties of such BCK-algebras. ...
doi:10.26682/csjuod.2020.23.1.21
fatcat:5fovajmpgzhfhi77bnsi4vz2wa
HEREDITARY SUBALGEBRAS OF BCK-ALGEBRAS
1996
Demonstratio Mathematica
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Recall that every 5CA'-algebra satisfies the identities For an element a of our BCK-algebra A, we denote by (a] the principal order ideal of the ordered set (v4;<) generated by a, i.e., (a] = {x 6 A : ...
) of BCK-algebras. ...
doi:10.1515/dema-1996-0113
fatcat:exv57c3fevhvrlqd2hq2acavba
BCK–ALGEBRA AND NON–GREEK MATHEMATICS
2013
Scientiae mathematicae Japonicae
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf.
The following sections describe "BCK-Algebra" and "Non-Greek Mathematics," which are thought of as expressing K. Iséki's "mathematical ideas." ...
The accomplishments of K. Iséki are spread over all fields of mathematics,and he has authored a large number of excellent and original research papers and books. ...
(2) Research on theories such as lattice theory, which originated as a result of Dedekind's attempted algebraic (abstract) formulation of unions and intersections in the set theory during his research ...
doi:10.32219/isms.76.2_235
fatcat:lffdmexbdncuzbryr353hgb344
Subdirect products of totally ordered BCK-algebras
1987
Journal of Algebra
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
the stimulus of their interest. ...
ACKNOWLEDGMENTS I thank Teo Sturm for letting me have a preprint of [CST] as well as a number of other preprints and reprints not otherwise accessible to me, Denis A. ...
"BCK-algebras" are structures axiomatized with a binary composition intended to mimic residuation in partially ordered monoids and, more particularly, set subtraction. ...
doi:10.1016/0021-8693(87)90224-9
fatcat:um5qdhdrtfgapo33dvwire2bua
Neutrosophic Positive Implicative N -Ideals in BCK-Algebras
2018
Axioms
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
The notion of a neutrosophic positive implicative N -ideal in BCK-algebras is introduced, and several properties are investigated. ...
An extension property of a neutrosophic positive implicative N -ideal based on the negative indeterminacy membership function is discussed. ...
Author Contributions: This paper is a result of common work of the authors in all aspects.
Conflicts of Interest: The authors declare no conflict of interest ...
doi:10.3390/axioms7010003
fatcat:oelmcddynfas5mzbmo2ehbmwgi
Fuzzy hyper p-ideals of hyper BCK-algebras
2015
Filomat
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
The connections between "fuzzy (weak, strong) hyper p-ideals" are discussed and "the strongest fuzzy relation" on a "hyper BCK-algebra" is conferred. ...
The paper is a reflection of "fuzzy sets" applied to "hyper p-ideals" and their comparison with simple "fuzzy hyper BCK-ideals". ...
This paper confers, "the concept of fuzzification of (weak, strong) hyper p-ideals in hyper BCK-algebras" and associated properties. ...
doi:10.2298/fil1508769m
fatcat:zjbi43apxrgnjahdsd572tn27a
ON THE VARIETY OF POSITIVE IMPLICATIVE BCK-ALGEBRAS
1984
Demonstratio Mathematica
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Then the knowledge of subdirectly irreducible positive implicative BCK-algebras gives us little information on the structure of these algebras. ...
A non-empty subset A of a BCK-algebra X is said to be an ideal if and only if (iv) x * y 0 if x*y, x for the other cases 0 if xsy, x for the other cases (1) (2) x,y * x e A imply y e A It follows from ...
doi:10.1515/dema-1984-0408
fatcat:n2rqjgqngravraam7jf5a2j3re
Fuzzy Filter Spectrum of a BCK Algebra
2011
International Journal of Mathematics and Mathematical Sciences
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
We prove that the set of all fuzzy s-prime filters of a bounded commutative BCK-algebra forms a topological space. ...
Moreover, we show that the set of all fuzzy s-prime filters of a bounded implicative BCK-algebra is a Hausdorff space. ...
Acknowledgment The paper is supported by National Nature Science Foundation of Shaanxi Province 2007A19 .
International Journal of Mathematics and Mathematical Sciences ...
doi:10.1155/2011/795934
fatcat:4q7vv3p34jeubngogmaq3n65qm
« Previous
Showing results 1 — 15 out of 527 results