Results 1 to 10 of about 154 (98)
Linear Diophantine fuzzy subsets of polygroups [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2022 Linear Diophantine fuzzy sets were recently introduced as a generalized form of fuzzy sets. The aim of this paper is to shed the light on the relationship between algebraic hyperstructures and linear Diophantine fuzzy sets through polygroups.
M. Al Tahan +3 more
doaj +10 more sources
Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups
Mathematics, 2022 The combination of two elements in a group structure is an element, while, in a hypergroup, the combination of two elements is a non-empty set. The use of hypergroups appears mainly in certain subclasses.
Osman Kazanci +2 more
exaly +4 more sources
Uniformities on OCP-polygroups [PDF]
Journal of Hyperstructures, 2018 A topological polygroup where every open subset is a complete part is called OCP-polygroup. Different uniform structures are built on OCP-polygroups as well as on their quotients and studied some related results including Roelcke uniformity.
Manoranjan Singha +2 more
doaj +2 more sources
Mathematics Interdisciplinary Research, 2021 This paper introduces the concept of auto–Engel polygroups via the heart of hypergroups and investigates the relation between of auto–Engel polygroups and auto–nilpotent polygroups.
Ali Mosayebi-Dorcheh +2 more
doaj +2 more sources
On Factorizable Semihypergroups
Mathematics, 2020 In this paper, we define and study the concept of the factorizable semihypergroup, i.e., a semihypergroup that can be written as a hyperproduct of two proper sub-semihypergroups. We consider some classes of semihypergroups such as regular semihypergroups,
Irina Cristea, Dariush Heidari
exaly +3 more sources
Study of Cayley Digraphs over Polygroups
MathematicsIn this paper we introduce Cayley digraphs associated to finitely generated polygroups, where the vertices correspond to finite products of the generators of polygroups and the edges to multiplication by vertices and generators.
Sárka Hoskova-Mayerova +2 more
exaly +3 more sources
Topics on $(H,Poly(P))$-Hypergroups [PDF]
Mathematics Interdisciplinary Research, 2023 In this paper, we construct a hypergroup by using a hypergroup $(H,\circ)$ and a polygroup $(P,\cdot)$, and call it $(H,Poly(P))$-hypergroup. The method of constructing hypergroups in this paper is not present in the established techniques of ...
Saeed Mirvakili +2 more
doaj +1 more source
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 Polygroups are an extended form of groups and a subclass of hypergroups that follow group‐type axioms. In this paper, we define a triplet single‐valued neutrosophic set, which is a generalization of fuzzy sets, intuitionistic fuzzy sets, and neutrosophic sets, and we combine this novel concept with hypergroups and polygroups.
M. Shazib Hameed +5 more
wiley +1 more source
[Retracted] Roughness in Hypervector Spaces
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah +3 more
wiley +1 more source
Cayley Graphs over LA‐Groups and LA‐Polygroups
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA‐polygroups (GCLAP − graphs). In this regard, we construct two new extensions for building LA‐polygroups. Then, we define Cayley graph over LA‐group and GCLAP‐graph.
Nabilah Abughazalah +3 more
wiley +1 more source