Results 41 to 50 of about 164,918 (192)
Retracted: Bipolar Fuzzy Implicative Ideals of BCK‐Algebras
, 2023 Journal of Mathematics, Volume 2023, Issue 1, 2023.
Journal of Mathematics
wiley +1 more source
Retracted: Interval‐Valued m‐Polar Fuzzy Positive Implicative Ideals in BCK‐Algebras
, 2023 Mathematical Problems in Engineering, Volume 2023, Issue 1, 2023.
Mathematical Problems in Engineering
wiley +1 more source
m-Polar Picture Fuzzy Ideal of a BCK Algebra
International Journal of Computational Intelligence Systems, 2020 In this paper, the notions of m-polar picture fuzzy subalgebra (PFSA), m-polar picture fuzzy ideal (PFI) and m-polar picture fuzzy implicative ideal (PFII) of BCK algebra are introduced and some related basic results are presented.
Shovan Dogra, Madhumangal Pal
doaj +1 more source
ON REPRESENTATIONS OF COMMUTATIVE BCK-ALGEBRAS
Demonstratio Mathematica, 1999 A commutative BCK-algebra has the relative cancellation property if for \(x,y\geq a\), \(x*a= y*a\) implies that \(x=y\). Any upwards directed commutative BCK-algebra has this property. The authors consider imbeddings of such algebras into Abelian lattice-ordered groups, and universal groups for the BCK-clans derived from the BCK-algebras.
DVURECENSKIJ A +1 more
openaire +3 more sources
Bipolar Intuitionistic Fuzzy Soft Ideals of BCK/BCI-Algebras and Its Applications in Decision-Making
Mathematics, 2023 In this paper, we merge the concepts of soft set theory and a bipolar intuitionistic fuzzy set. A bipolar intuitionistic fuzzy soft ideal in a BCK-algebra is defined as a soft set over the set of elements in the BCK-algebra, with each element associated ...
Manivannan Balamurugan +3 more
doaj +1 more source
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
doaj +1 more source
Makgeolli Structures and Its Application in BCK/BCI-Algebras
Mathematics, 2019 A fuzzy set is an extension of an existing set using fuzzy logic. Soft set theory is a generalization of fuzzy set theory. Fuzzy and soft set theory are good mathematical tools for dealing with uncertainty in a parametric manner.
Sun Shin Ahn +3 more
doaj +1 more source
Convex Congruences on BCK-Algebras
Demonstratio Mathematica, 1985 We prove that all those (and only those) congruence relations on BCK- algebras are convex whose factor algebras are again BCK-algebras, and that any convex congruence class V of BCK-algebras has the congruence extension property if and only if S(V) is again a convex congruence class; in particular each variety of BCK-algebras does have the congruence ...
Traczyk, Tadeusz, Zarebski, Wiesław
openaire +2 more sources
, 2021 The paper contains an investigation of the notion of BCI-algebras and BCK-algebras. The concept of quantale was created in 1984 to develop a framework for non-commutative spaces and quantum mechanics with a view toward non-commutative logic ...
Tabuni, Muna
core
MBJ-neutrosophic ideals of BCK/BCI-algebras
Open Mathematics, 2019 The notion of MBJ-neutrosophic ideal is introduced, and its properties are investigated. Conditions for an MBJ-neutrosophic set to be an MBJ-neutrosophic ideal are provided.
Jun Young Bae, Roh Eun Hwan
doaj +1 more source