Results 11 to 20 of about 2,014 (132)
Hypergroups and Hypergroup Algebras [PDF]
Journal of Soviet Mathematics, 2011 The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators.
Litvinov, Grigory L.
core +2 more sources
Quasi-Order Hypergroups and T-Hypergroups
Ratio Mathematica, 2017 Quasi-order hypergroups were introduced by J. Chvalina in 90s of the last century. They form a subclass of the class of all hypergroups, i.e. structures with one associative hyperoperation fulfilling the reproduction axiom.
Šárka Hošková-Mayerová
doaj +2 more sources
On the semi-sub-hypergroups of a hypergroup [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper we study some properties of the semi-sub-hypergroups and the closed sub-hypergroups of the hypergroups. We introduce the correlated elements and the fundamental elements and we connect the concept antipodal of the latter with Frattin's ...
Ch. G. Massouros
doaj +3 more sources
Fuzzy Reduced Hypergroups [PDF]
Mathematics, 2020 The fuzzyfication of hypercompositional structures has developed in several directions. In this note we follow one direction and extend the classical concept of reducibility in hypergroups to the fuzzy case.
Milica Kankaras, Irina Cristea
doaj +3 more sources
Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Comput Intell Neurosci, 2022 The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Zhou H +5 more
europepmc +2 more sources
Hypergroup Deformations of Semigroups [PDF]
Semigroup Forum, 2018 We view the well-known example of the dual of a countable compact hypergroup, motivated by the orbit space of p-adic integers by Dunkl and Ramirez (1975), as hypergroup deformation of the max semigroup structure on the linearly ordered set $\mathbb{Z}_+$
Kumar, Vishvesh +2 more
core +5 more sources
A (Discrete) Homotopy Theory for Geometric Spaces
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 We define the concepts of homotopy and fundamental group for geometric spaces as a generalization of metric spaces, digital spaces, and graphs; then, we compare them with corresponding concepts in these spaces. Also, we state some properties of the fundamental group of geometric spaces and some theorems to calculate them.
Asieh Pourhaghani +2 more
wiley +1 more source
A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah +2 more
wiley +1 more source
ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan +6 more
wiley +1 more source
Algebraic Properties of (ω, θ)‐Complex Fuzzy Subgroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper defined the notion of (ω, θ)‐complex fuzzy sets, (ω, θ)‐complex fuzzy subgroupoid, and (ω, θ)‐complex fuzzy subgroups and described important examples under (ω, θ)‐complex fuzzy sets. Additionally, we discussed the conjugacy class of group with respect to (ω, θ)‐complex fuzzy normal subgroups.
Ahad Abdullah Al-harshni +2 more
wiley +1 more source