Results 81 to 90 of about 748 (136)

Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups

Symmetry, 2019
The symmetry of hyperoperation is expressed by hypergroup, more extensive hyperalgebraic structures than hypergroups are studied in this paper. The new concepts of neutrosophic extended triplet semihypergroup (NET- semihypergroup) and neutrosophic ...
Xiaohong Zhang, F. Smarandache, Ying-cang Ma   +2 more
semanticscholar   +1 more source

The Role of Complete Parts in Topological Polygroups

International Journal of Analysis and Applications, 2016
A topological polygroup is a polygroup P together with a topology on P such that the polygroup’s binary hyperoperation and the polygroup’s inverse function are continuous with respect to the topology.
M. Salehi Shadkami, M.R. Ahmadi Zand, B. Davvaz   +2 more
doaj   +2 more sources

A Note on Intuitionistic Fuzzy Hypervector Spaces

, 2010
The notion of Intuitionistic fuzzy hypervector space has been generalized and a few basic properties on this concept are studied. It has been shown that the intersection and union of an arbitrary family of Intuitionistic fuzzy hypervector spaces are also
Roy, Sanjay, Samanta, T. K.
core  

Some properties of hyperideals in ternary semihypergroups

, 2013
Ternary semihypergroups are algebraic structures with one ternary associative hyperoperation. In this paper we give some properties of left (right) and lateral hyperideals in ternary semihypergroups. We introduce the notion of left simple, lateral simple,
Krisanthi Naka, K. Hila
semanticscholar   +1 more source

Directed Graphs representing isomorphism classes of C-Hypergroupoids

Ratio Mathematica, 2012
We investigate the relation of directed graphs and hyperstructures by virtue of the graph hyperoperation. A new class of graphs arises in this way representing isomorphism classes of C-hypergroupoids and we present the 17 such graphs that correspond to ...
Antonios Kalampakas, Stefanos Spartalis, Kassiani Skoulariki   +2 more
doaj  

On Isomorphism Theorems of Fn -Polygroups [PDF]

Journal of Sciences, Islamic Republic of Iran, 2013
In this paper, the notion of fuzzy n-polygroups (Fn -polygroups) is introduced and some related properties are investigated. In this regards, the concepts of normal  F-subpolygroups and homomorphisms of Fn-polygroups are adopted. Also, the quotient of Fn-
B. Davvaz
doaj  

The Divisors’ Hyperoperations

Ratio Mathematica, 2013
In the set N of the Natural Numbers we define two hyperoperations based on the divisors of the addition and multiplication of two numbers. Then, the properties of these two hyperoperations are studied together with the resulting hyperstructures. Furthermore, from the coexistence of these two hyperoperations in N ∗ , an H v -ring is resulting which is ...
openaire   +1 more source

On the number of Hv-rings with P-hyperoperations

Discrete Mathematics, 1996
The object of the paper is the class of \(H_v\)-rings with \(P\)-hyperoperations. These \(H_v\)-rings are based on given rings and the homomorphisms on the basic rings lead to homomorphisms on the resulting \(H_v\)-rings. Results on \(H_v\)-rings with \(P\)-hyperoperations defined on a basic ring are presented, especially using translations.
openaire   +1 more source

Basic constructions of topological n-ary polygroups

Applied General Topology
In this paper, we begin the study of topological n-ary polygroups. We begin by stating some properties of topological n-ary polygroups and introducing quotient n-ary polygroups.
M. Mostaghimy, B. Davvaz
doaj   +1 more source

Bar and Theta Hyperoperations

Ratio Mathematica, 2011
In questionnaires the replacement of the scale of Likert by a bar was suggested in 2008 by Vougiouklis & Vougiouklis. The use of the bar was rapidly accepted in social sciences. The bar is closely related with fuzzy theory and has several advantages during both the filling-in questionnaires and mainly in the research processing. In this paper we relate
openaire   +1 more source