Results 21 to 30 of about 202 (136)

Complete parts and subhypergroups in reversible regular hypergroups

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this paper we analyse the center and centralizer of an element in the context of reversible regular hypergroups, in order to obtain the class equation in regular reversible hypergroups, by using complete parts.
Leoreanu-Fotea V.   +3 more
doaj   +1 more source

Generalized derivations and generalized exponential monomials on hypergroups [PDF]

open access: yesOpuscula Mathematica, 2023
In one of our former papers "Endomorphisms of the measure algebra of commutative hypergroups" we considered exponential monomials on hypergroups and higher order derivations of the corresponding measure algebra.
Żywilla Fechner   +2 more
doaj   +1 more source

Algebraic Properties of (ω, θ)‐Complex Fuzzy Subgroups

open access: yesMathematical 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

Fuzzy Multi-Hypergroups

open access: yesMathematics, 2020
A fuzzy multiset is a generalization of a fuzzy set. This paper aims to combine the innovative notion of fuzzy multisets and hypergroups. In particular, we use fuzzy multisets to introduce the concept of fuzzy multi-hypergroups as a generalization of ...
Sarka Hoskova-Mayerova   +2 more
doaj   +1 more source

A Theoretical Investigation Based on the Rough Approximations of Hypergraphs

open access: yesJournal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Rough sets are a key tool to model uncertainty and vagueness using upper and lower approximations without predefined functions and additional suppositions. Rough graphs cannot be studied more effectively when the inexact and approximate relations among more than two objects are to be discussed.
Musavarah Sarwar, Gohar Ali
wiley   +1 more source

Multicriteria Decision‐Making Problem via Weighted Cosine Similarity Measure and Several Characterizations of Hypergroup and (Weak) Polygroups under the Triplet Single‐Valued Neutrosophic Structure

open access: yesMathematical 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

Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups

open access: yesMathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
The main purpose of this paper is to study fundamental properties of weak Γ‐hyperfilters on ordered Γ‐semihypergroups that is a generalization of Γ‐hyperfilters. Also, we investigate the relationship between weak Γ‐hyperfilters and prime Γ‐hyperideals in ordered Γ‐semihypergroups.
Yongsheng Rao   +4 more
wiley   +1 more source

Hypergroups Related to a Pair of Compact Hypergroups [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2015
The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup $H$ and a closed subhypergroup $H_0$ of $H$ with $|H/H_0|< +\infty$. The convolution of this hypergroup is introduced by inducing irreducible characters of $H_0$ to $H$ and by restricting irreducible characters of $H$ to ...
Heyer, H.   +3 more
openaire   +3 more sources

Applications of (Neutro/Anti)sophications to Semihypergroups

open access: yesJournal of Mathematics, 2021
In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups).
A. Rezaei, F. Smarandache, S. Mirvakili
doaj   +1 more source

New Aspects in the Theory of Complete Hypergroups

open access: yesComputer Sciences & Mathematics Forum, 2023
The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the complete ...
Irina Cristea
doaj   +1 more source

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