Results 1 to 10 of about 25 (19)

Hyperideal theory in ordered Krasner hyperrings [PDF]

open access: diamondAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
doaj   +3 more sources

Operations on hyperideals in ordered Krasner hyperrings [PDF]

open access: diamondAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize
Omidi S., Davvaz B., Corsini P.
doaj   +5 more sources

The associated hyperringoid to a Krasner hyperring

open access: yesJournal of Taibah University for Science, 2018
“Ends Lemma” is used to construct a hypergroupoid from a (quasi) partially ordered groupoid. But this lemma does not work well for creating a hyperringoid from a (partially) ordered ringoid.
H. Mirabdollahi   +2 more
doaj   +1 more source

CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER

open access: yesFacta Universitatis, Series: Mathematics and Informatics
In this article, we investigate the distributability of the binary operation of monoids with zero compared to the hyperoperation of canonical hypergroups of order 2 and 3with the help of analytical and algebraic methods and without using computer calculations.
Saeed Mirvakili   +2 more
openaire   +1 more source

Fuzzy ordered Krasner hyperrings

open access: closedJournal of Intelligent & Fuzzy Systems, 2015
An ordered Krasner hyperring is a Krasner hyperring (R, +, ·) besides a partial order relation ≤ that satisfies the monotone conditions. In this paper, we introduce the concept of fuzzy hyperideals, fuzzy quasi-hyperideals and fuzzy bi-hyperideals of an ordered Krasner hyperring and we present some examples in this respect.
V. Leoreanu-Fotea, Bijan Davvaz
openaire   +2 more sources

Ordered Krasner Hyperrings

open access: closed, 2017
Saber Omidi, Bijan Davvaz
openalex   +1 more source

ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings

open access: yesMathematical 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

[Retracted] Roughness in Hypervector Spaces

open access: yesJournal 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

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