Results 21 to 30 of about 1,283 (167)
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
Complete parts and subhypergroups in reversible regular hypergroups
Analele 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
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A Theoretical Investigation Based on the Rough Approximations of Hypergraphs
Journal 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
Generalized derivations and generalized exponential monomials on hypergroups [PDF]
Opuscula 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
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
Applications of (Neutro/Anti)sophications to Semihypergroups
Journal 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
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New Aspects in the Theory of Complete Hypergroups
Computer 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
Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups
Mathematical 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
Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 We give some conditions on ordered Γ‐semihypergroups under which their interior hyperideal is equal to the hyperideal. In this paper, it is shown that in regular (resp., intraregular, semisimple) ordered Γ‐semihypergroups, the hyperideals and the interior hyperideals coincide.
Yongsheng Rao +4 more
wiley +1 more source
Generalizations of Fuzzy q‐Ideals of BCI‐Algebras
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the notion of (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals of BCI‐algebras to propose a more general form of fuzzy q‐ideals of BCI‐algebras. We prove that (∈, ∈∨q)‐fuzzy q‐ideals and (∈∨(κ∗, qκ), ∈∨(κ∗, qκ))‐fuzzy q‐ideals are (∈, ∈∨(κ∗, qκ))‐fuzzy q‐ideals, but the converse assertion is not valid and examples are given to support this ...
G. Muhiuddin +5 more
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