Results 101 to 110 of about 186 (132)

Generalized Hyperoperations Defined on Topological Space

Journal of Discrete Mathematical Sciences and Cryptography, 2015
AbstractWe first generalize the hyperoperation to generalized hyperoperation; then we define generalized semihypergroup and generalized hypergroup by the use of generalized hyperoperation; also we give some examples of this kind of hyperoperations. Then we apply generalized hyperoperation to topological space. We obtain some interesting results.
Yuming Feng
exaly   +2 more sources

Some remarks on congruences obtained from the L-fuzzy Nakano hyperoperation

Information Sciences, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ath Kehagias
exaly   +3 more sources

Dependence Relations and Grade Fuzzy Set

Symmetry, 2023
With the aim of developing the recent theory of dependence relations, we elaborate a procedure to measure the strength of the influence of an element on another with respect to a given dependence relation on a finite set.
Alessandro Linzi, Irina Cristea, Cristea Irina   +2 more
exaly   +3 more sources

Commuting Hyperoperations

36th International Symposium on Multiple-Valued Logic (ISMVL'06), 2006
Centralizer of a set of hyperoperations F is a clone of hyperoperations that commute with all hyperoperations from F. There are several ways to define this commuting operator which imply several definitions of centralizers of sets of hyperoperations and they are considered in this paper. In order to obtain their properties, we discuss the definition of
Jovanka Pantovic, Gradimir Vojvodic
openaire   +1 more source

A New Characterization of Restriction-Closed Hyperclones

, 2020
A hyperoperation is a mapping from a domain to the powerset of the domain. Hyperoperations can be composed together to form new hyperoperations, and the resulting sets are called hyperclones.
VÍCTOR Lagerkvist
exaly   +2 more sources

Operators and Hyperoperators Acting on Hypergroups

AIP Conference Proceedings, 2008
External operations and hyperoperations on hypergroups leads to structures that are called hypermodules, supermodules, hypermoduloids and supermoduloids. These structures give applications in the theory of graphs and in geometries.
Ch. G. Massouros, G. G. Massouros
openaire   +1 more source

Hyperoperations on directed graphs

Journal of Discrete Mathematical Sciences and Cryptography
We analyze three hyper-operations derived from directed graphs, demonstrate the influence of the underlying graph structure on these hyper-operations and study the algebraic properties of the related classes of graphs. The paper also illustrates the relationship between directed graphs and hyper-structures using graph hyper-operations.
Antonios Kalampakas, Stefanos Spartalis
openaire   +1 more source

F ⁿ -Hypergroups based on fuzzy hyperoperations and fundamental relations

Journal of Intelligent & Fuzzy Systems, 2014
In this paper, the notion of fuzzy n-hypergroups (F n -hypergroups) by using the notion of F n -hyperoperations is introduced and some related properties are investigated. In this regards relationships between F n
Mehdi Farshi, Bijan Davvaz
openaire   +2 more sources

Hyperoperations of functions

This shows how hyperoperations for functions can be ...
openaire   +1 more source

Fuzzy Sets and Algebraic Hyperoperations to Model Interpersonal Relations

2016
In Social Sciences propositions and descriptions of interpersonal relationships are given by means of linguistic expressions, which cannot be formalized with the classic binary logic. Then a necessary tool are fuzzy sets that give the possibility to measure the degree of belonging of an element to a set described by a linguistic property or the degree ...
MATURO, Antonio, Hoskova Mayerova, Sarka
openaire   +2 more sources