Results 61 to 70 of about 779 (169)
Topological Structures of Lower and Upper Rough Subsets in a Hyperring
Journal of Mathematics, 2021 In this paper, we study the connection between topological spaces, hyperrings (semi-hypergroups), and rough sets. We concentrate here on the topological parts of the lower and upper approximations of hyperideals in hyperrings and semi-hypergroups.
Nabilah Abughazalah +2 more
doaj +1 more source
Existence theorem of finite krasner hyperfields [PDF]
Journal of Hyperstructures, 2021 The concern of this paper is to show that there always exist Krasner hyperfields of order n, where n is an integer greaterthan or equal to 2.
Yuming Feng +3 more
doaj +1 more source
On Refined Neutrosophic Hyperrings [PDF]
Neutrosophic Sets and Systems, 2021 This paper presents the refinement of a type of neutrosophic hyperring in which +’ and ·’ are hyperoperations and studied some of its properties. Several interesting results and examples are presented.
M.A. Ibrahim +3 more
doaj +1 more source
A note on weakly prime hyperideals and (1, n) hyperideals on multiplicative hyperrings
Thermal Science, 2022 In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing the relations between prime hyperideals and weakly prime hyperideals. Then we give definition of weakly n-hyperideal
E. Ay, Gürsel Yeşilot
semanticscholar +1 more source
Fuzzy Information and Engineering, 2022 In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation ( ). Moreover, we proved that for a fuzzy hyperring S, the quotient ( ) was a nilpotent (Engel) Lie ring.
E. Mohammadzadeh +3 more
semanticscholar +1 more source
On S-prime hyperideals in multiplicative hyperrings
Journal of Algebraic Hyperstructures and Logical Algebras, 2021 Let R be a multiplicative hyperring and S be a subset of R be a multiplicatively closed subset of R. In this paper, we introduce and study the concept of S-prime hyperideals which is a generalization of prime hyperideals.
P. Ghiasvand, F. Farzalipour
semanticscholar +1 more source
Single-Valued Neutrosophic Hyperrings and Single-Valued Neutrosophic Hyperideals [PDF]
Neutrosophic Sets and Systems, 2019 In this paper, we introduced the concepts of Single-valued neutrosophic hyperring and Single-valued neutrosophic hyperideal. The algebraic properties and structural characteristics of the single-val-ued neutrosophic hyperrings and hyperideals are ...
D. Preethi +4 more
doaj +1 more source
A Note on the w-Pseudo-Orders in Ordered (Semi)Hyperrings
Symmetry, 2021 In this work, we study the notion of w-pseudo-order on an ordered (semi)hyperring and give some explicit examples. In addition, we give some examples to compare weak pseudo-order relations with pseudo-order relations.
Xiaoli Qiang, Hao Guan, H. Rashmanlou
semanticscholar +1 more source
Hyperrings with n -ary composition hyperoperation
, 2017 Based on the concepts of composition ring and composition hyperring, in this note we introduce the notion of $n$-ary composition hyperring and study the connections with composition hyperrings.
Irina Cristea +3 more
core +1 more source
(T,S)-Intuitionistic Fuzzy Hyperideals of Γ -Hyperrings
, 2021 In this paper, we introduce (T,S)-intuitionistic fuzzy hyperideals of Γ-hyperrings. We study the (T,S)-intuitionistic fuzzy left and right hyperideals, (T,S)-intuitionistic fuzzy quasi-hyperideals and bi-hyperideals in Γ-hyperrings and some related ...
Ali Ersoy, Bayram +4 more
core +1 more source