Results 21 to 30 of about 164,918 (192)

On Superhyper BCK-Algebras [PDF]

Neutrosophic Sets and Systems, 2023
BCK-algebras are algebraic structures in universal algebra such that are based on logical axioms and have some applications. This paper introduces the concept of super hyper BCK-algebras as a generalization of BCK-algebras and investigates some ...
Mohammad Hamidi
doaj   +1 more source

Negation and BCK‐algebras [PDF]

Mathematical Logic Quarterly, 2003
AbstractIn this paper we consider twelve classical laws of negation and study their relations in the context of BCK‐algebras. A classification of the laws of negation is established and some characterizations are obtained. For example, using the concept of translation we obtain some characterizations of Hilbert algebras and commutative BCK‐algebras ...
Francisco Miguel García-Olmedo, Antonio J. Rodríguez Salas   +1 more
openaire   +1 more source

Coding theory and hyper BCK-algebras [PDF]

Journal of Hyperstructures, 2018
In this paper we define the notion of a hyper BCK valued function on a set and investigate some of it’s related properties as Y.B. Jun, S.Z. Song and C. Flaut have done for a BCK-algebras.
Atamewoue Tsafack Surdive, Njeya Selestin, Lele C´elestin   +2 more
doaj   +1 more source

Γ(α, β)‐BE‐Algebras

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The concept of Γ(α, β)‐BE‐algebra is introduced as a generalization of a Γα‐BE‐algebra and a Γβ‐BE‐algebra and its properties are studied. We introduced the concepts of (α, β)‐subalgebra and (α, β)‐filter of a Γ(α, β)‐BE‐algebra and discussed the relation between these two concepts. We provided conditions for an (α, β)‐subalgebra to be an (α, β)‐filter.
Ravikumar Bandaru, Jeong Gi Kang, Amal S. Alali, Young Bae Jun, Mohammad W. Alomari   +4 more
wiley   +1 more source

Fundamental pseudo BCK-algebras [PDF]

Journal of Hyperstructures, 2016
In this paper, we de ne the relations and on hyper pseudo BCK-algebras and investigate some related properties. We give a necessary and sucient condition for to be regular. By using, we make the quotient hyper pseudo BCK-algebra. Finally, by applying the
Habib Harizavi, Rajab Ali Borzooei, Taiybeh Koochakpoor   +2 more
doaj   +1 more source

Applications on Bipolar Vague Soft Sets

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The purpose of this research is to interpolate bipolarity into the definition of the vague soft set. This gives a new more applicable, flexible, and generalized extension of the soft set, the fuzzy soft set, or even the vague soft set, which is the bipolar vague soft set.
Hanan H. Sakr, Abdisalam Hassan Muse, Mohamed S. Mohamed, Saieed F. Ateya, Jun Ye   +4 more
wiley   +1 more source

A Novel Characterization of Fuzzy Soft Substructures in Quantales Theory

Complexity, Volume 2023, Issue 1, 2023., 2023
In this paper, we use an algebraic structure quantale and define the idea of fuzzy soft substructures as a generalization of fuzzy substructures in quantale. These fuzzy soft substructures include fuzzy soft subquantales, fuzzy soft ideals, fuzzy soft prime ideals, fuzzy soft semiprime ideals, and fuzzy soft primary ideals.
Saqib Mazher Qurashi, Muhammad Gulzar, Rani Sumaira Kanwal, Dilruba Akter, Muhammad Shawaiz Safdar, Zeljko Stevic   +5 more
wiley   +1 more source

Generalized Ideals of BCK/BCI‐Algebras Based on MQHF Soft Set with Application in Decision Making

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The purpose of this study is to generalize the concept of Q‐hesitant fuzzy sets and soft set theory to Q‐hesitant fuzzy soft sets. The Q‐hesitant fuzzy set is an admirable hybrid property, specially developed by the new generalized hybrid structure of hesitant fuzzy sets.
Maryam Abdullah Alshayea, Kholood Mohammad Alsager, Jun Ye   +2 more
wiley   +1 more source

A Novel Study Based on Fuzzy p‐Ideals of BCI‐Algebras

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In this paper, we propose the concept of (∈, ∈ ∨(j∗, qj))‐fuzzy p‐ideals in “BCI‐algebras.” We show that “(∈, ∈∨q))‐fuzzy p‐ideals” and “(∈∨(j∗, qj), ∈ ∨(j∗, qj))‐fuzzy p‐ideals” are “(∈, ∈ ∨(j∗, qj))‐fuzzy p‐ideals.” However, the converse is not true, then presented examples.
G. Muhiuddin, Nabilah Abughazalah, A. Mahboob, M. E. Elnair, Abdullah G. Alotaibi, Ganesh Ghorai   +5 more
wiley   +1 more source

Further results on (∈, ∈)-neutrosophic subalgebras and ideals in BCK/BCI-algebras [PDF]

Neutrosophic Sets and Systems, 2018
Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal.
G. Muhiuddin, Hashem Bordbar, Florentin Smarandache, Young Bae Jun   +3 more
doaj   +1 more source