Results 11 to 20 of about 3,249 (114)

Fuzzy structures of PI(≪,⫅,⫅)BCK-ideals in hyper BCK-algebras [PDF]

International Journal of Mathematics and Mathematical Sciences, 2003
The fuzzification of PI(≪,⫅,⫅)BCK‐ideals is considered. Using the notion of α‐cut, characterization of fuzzy PI(≪, ⫅, ⫅) BCK‐ideals is given. Conditions for a fuzzy set to be a fuzzy PI(≪, ⫅, ⫅) BCK‐ideal are provided.
Young Bae Jun, Wook Hwan Shim
doaj   +3 more sources

SEVERAL TYPES OF BIPOLAR FUZZY HYPER BCK-IDEALS IN HYPER BCK-ALGEBRAS

Honam Mathematical Journal, 2012
Several types of a bipolar fuzzy hyper BCK-ideal in a hyper BCK-algebra are introduced, and their relations are investi- gated.
Young-Bae Jun, Min-Su Kang, Seok-Zun Song   +2 more
semanticscholar   +4 more sources

Single-Valued Neutro Hyper BCK-Subalgebras

Journal of Mathematics, 2021
The purpose of this paper is to introduce the notation of single-valued neutrosophic hyper BCK-subalgebras and a novel concept of neutro hyper BCK-algebras as a generalization and alternative of hyper BCK-algebras, that have a larger applicable field. In
M. Hamidi, F. Smarandache
doaj   +2 more sources

On hyper BCC-algebras

International Journal of Mathematics and Mathematical Sciences, 2006
We study hyper BCC-algebras which are a common generalization of BCC-algebras and hyper BCK-algebras. In particular, we investigate different types of hyper BCC-ideals and describe the relationship among them.
R. A. Borzooei, W. A. Dudek, N. Koohestani   +2 more
doaj   +2 more sources

On Interval-Valued Intuitionistic Fuzzy Hyper BCK-Ideals of Hyper BCK Algebras [PDF]

, 2011
In this paper, we apply the concept of an interval-valued intuitionistic fuzzy set to hyper BCK-ideals in hyper BCK-algebras. The notion of an interval-valued intuitionistic fuzzification of (strong, weak, s-weak) hyper BCK-ideals is introduced,
B. Satyanarayana, L. Krishna, R. Prasad
semanticscholar   +3 more sources

ATOMIC HYPER BCK-ALGEBRAS [PDF]

Communications of the Korean Mathematical Society, 2009
In this manuscript, we introduce the concept of an atomic subset of the hyper BCK-algebra and study its properties. Also, we give a characterization of the atomic hyper BCK-algebra and show that there are exactly (up to isomorphism) n atomic hyper BCK-algebras H with |H| = n for any natural number n.
Habib Harizavi
openaire   +3 more sources

Int-soft Implicative hyper $BCK$-ideals in hyper $BCK$-algebras

Missouri Journal of Mathematical Sciences, 2019
Relations between various types of int-soft hyper BCK-ideals are discussed. Conditions for an int-soft hyper BCK-ideal to be an int-soft weak implicative hyper BCK-ideal are provided. Using an int-soft weak implicative hyper BCK-ideal, a new int-soft weak implicative hyper BCK-ideal is established.
Borzooei, Rajab Ali, Xin, Xiao Long, Roh, Eun Hwan, Jun, Young Bae   +3 more
openaire   +3 more sources

Bipolar Fuzzy Commutative Hyper BCK-ideals in Hyper BCK-algebras

European Journal of Pure and Applied Mathematics
This study introduces the concept of bipolar fuzzy commutative hyper BCK-ideals (BF-CHBCKIs) within the algebraic framework of hyper BCK-algebras, offering a novel approach to modeling dual uncertainty through bipolar fuzzy sets. By defining and classifying BF-CHBCKIs across multiple types and examining their structural relationships with reflexive ...
D. Ramesh, Shake Baji, Aiyared Iampan, B. Satyanarayana   +3 more
openaire   +2 more sources

Topologies on a Hyper Sum and Hyper Product of Two Hyper BCK-algebras

European Journal of Pure and Applied Mathematics, 2019
Given a hyper BCK-algebra (H, ∗, 0), each of the families BL(H) = {LH(A) : ∅ 6=A ⊆ H} and BR(H) = {RH(A) : ∅ 6= A ⊆ H} forms a base for some topology on H, where LH(A) = {x ∈ H : x a, ∀a ∈ A} and RH(A) = {x ∈ H : a x, ∀a ∈ A} for any subset A of H. In this paper, we determine the bases of the topologies induced by the hyper sum H1
Rachel Moridas Patangan, Sergio R. Canoy, Jr.   +1 more
openaire   +3 more sources

Fuzzy hyper p-ideals of hyper BCK-algebras

Filomat, 2015
The paper is a reflection of ?fuzzy sets? applied to ?hyper p-ideals? and their comparison with simple ?fuzzy hyper BCK-ideals?. The idea of ?fuzzy (weak, strong) hyper p-ideals? is presented and characterization of these ideals is conferred using different concepts like that of ?level subsets, hyper homomorphic pre-image? etc.
Aslam Malik, Muhammad Touqeer
openaire   +3 more sources