Results 31 to 40 of about 202 (136)

Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups

open access: yesMathematical 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

open access: yesJournal 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
wiley   +1 more source

Fundamental Functor Based on Hypergroups and Groups [PDF]

open access: yesMathematics Interdisciplinary Research, 2018
The purpose of this paper is to compute of fundamental relations of hypergroups. In this regards first we study some basic properties of fundamental relation of hypergroups, then we show that any given group is isomorphic to the fundamental group of a ...
Mohammad Hamidi
doaj   +1 more source

On soft topological hypergroups [PDF]

open access: yesJournal of Hyperstructures, 2020
Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
doaj   +1 more source

Properties of n-ary hypergroups relevant for modelling trajectories in HD maps

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.
Křehlík Štěpán   +2 more
doaj   +1 more source

On the Borderline of Fields and Hyperfields

open access: yesMathematics, 2023
The hyperfield came into being due to a mathematical necessity that appeared during the study of the valuation theory of the fields by M. Krasner, who also defined the hyperring, which is related to the hyperfield in the same way as the ring is related ...
Christos G. Massouros   +1 more
doaj   +1 more source

F-Hypergroups of Type U on the Right [PDF]

open access: yesMathematics Interdisciplinary Research, 2020
In this paper, first we introduce F-hypergroups of type U on the right. We will prove that every right scalar identity of an F-hypergroup of type U on the right of size ≤ 5 is also a left identity.
Mehdi Farshi   +2 more
doaj   +1 more source

On special weak free (semi)hypergroups [PDF]

open access: yesJournal of Hyperstructures, 2013
In this paper, we study some properties of special weak free (semi)hypergroups and we generalize the Nielsen-Schreier theorem for the class of special weak free hypergroups.
Morteza Jafarpour, Abdolah Chashiyani
doaj   +1 more source

Refined neutrosophic quadruple (po-)hypergroups and their fundamental group [PDF]

open access: yesNeutrosophic Sets and Systems, 2019
After introducing the notion of hyperstructures about 80 years ago by F. Marty, a number of researches on its theory, generalization, and it’s applications have been done.
M. Al-Tahan, B. Davvaz
doaj   +1 more source

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