On Some NeutroHyperstructures

On Some NeutroHyperstructures
Author: Madeleine Al-Tahan
Publisher: Infinite Study
Total Pages: 12
Release: 2021-05-01
Genre: Mathematics
ISBN:

Neutrosophy, the study of neutralities, is a new branch of Philosophy that has applications in many different fields of science. Inspired by the idea of Neutrosophy, Smarandache introduced NeutroAlgebraicStructures (or NeutroAlgebras) by allowing the partiality and indeterminacy to be included in the structures’ operations and/or axioms. The aim of this paper is to combine the concept of Neutrosophy with hyperstructures theory. In this regard, we introduce NeutroSemihypergroups as well as NeutroHv-Semigroups and study their properties by providing several illustrative examples.

Applications of Hyperstructure Theory

Applications of Hyperstructure Theory
Author: P. Corsini
Publisher: Springer Science & Business Media
Total Pages: 333
Release: 2013-03-09
Genre: Mathematics
ISBN: 1475737149

This book presents some of the numerous applications of hyperstructures, especially those that were found and studied in the last fifteen years. There are applications to the following subjects: 1) geometry; 2) hypergraphs; 3) binary relations; 4) lattices; 5) fuzzy sets and rough sets; 6) automata; 7) cryptography; 8) median algebras, relation algebras; 9) combinatorics; 10) codes; 11) artificial intelligence; 12) probabilities. Audience: Graduate students and researchers.

Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups

Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups
Author: Xiaohong Zhang
Publisher: Infinite Study
Total Pages: 17
Release:
Genre: Mathematics
ISBN:

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 extended triplet hypergroup (NET-hypergroup) are firstly introduced, some basic properties are obtained, and the relationships among NET- semihypergroups, regular semihypergroups, NET-hypergroups and regular hypergroups are systematically are investigated. Moreover, pure NET-semihypergroup and pure NET-hypergroup are investigated, and a strucuture theorem of commutative pure NET-semihypergroup is established. Finally, a new notion of weak commutative NET-semihypergroup is proposed, some important examples are obtained by software MATLAB, and the following important result is proved: every pure and weak commutative NET-semihypergroup is a disjoint union of some regular hypergroups which are its subhypergroups.

Neutrosophic quadruple algebraic hyperstructures

Neutrosophic quadruple algebraic hyperstructures
Author: A. A. A. Agboola
Publisher: Infinite Study
Total Pages: 14
Release:
Genre:
ISBN:

The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Specifically, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.

Walk Through Weak Hyperstructures, A: Hv-structures

Walk Through Weak Hyperstructures, A: Hv-structures
Author: Bijan Davvaz
Publisher: World Scientific
Total Pages: 347
Release: 2018-12-11
Genre: Mathematics
ISBN: 9813278889

Hyperstructures represent a natural extension of classical algebraic structures. They were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers published on this subject. This book is devoted to the study of weak hyperstructures with natural examples. It begins with some basic results, which represent the most general algebraic context, in which reality can be modelled. There are also applications in natural science (Biology, Chemistry and Physics).The authors of the book are experts and well known on this theory. Most results on weak hyperstructures are collected in this book. The overall strength of the book is in its presentation and introduction to some of the results, methods and ideas about weak hyperstructures.

Fuzzy Algebraic Hyperstructures

Fuzzy Algebraic Hyperstructures
Author: Bijan Davvaz
Publisher: Springer
Total Pages: 250
Release: 2015-01-23
Genre: Technology & Engineering
ISBN: 3319147625

This book is intended as an introduction to fuzzy algebraic hyperstructures. As the first in its genre, it includes a number of topics, most of which reflect the authors’ past research and thus provides a starting point for future research directions. The book is organized in five chapters. The first chapter introduces readers to the basic notions of algebraic structures and hyperstructures. The second covers fuzzy sets, fuzzy groups and fuzzy polygroups. The following two chapters are concerned with the theory of fuzzy Hv-structures: while the third chapter presents the concept of fuzzy Hv-subgroup of Hv-groups, the fourth covers the theory of fuzzy Hv-ideals of Hv-rings. The final chapter discusses several connections between hypergroups and fuzzy sets, and includes a study on the association between hypergroupoids and fuzzy sets endowed with two membership functions. In addition to providing a reference guide to researchers, the book is also intended as textbook for undergraduate and graduate students.

Maurice Duruflé, 1902-1986

Maurice Duruflé, 1902-1986
Author: Ronald Ebrecht
Publisher: Scarecrow Press
Total Pages: 232
Release: 2002-06-11
Genre: Music
ISBN: 1461669634

Maurice Duruflé (1902-1986) is best known as composer of the hauntingly beautiful and moving Requiem of 1947, and as organist during his long tenure at the church of Saint-Etienne-du-Mont in Paris. He studied composition and organ with Tournemire, Vierne, Gigout, and Dukas among others, and became well known outside France through tours and conferences, often attended with his wife, the late Marie-Madeleine Chevalier. Ebrecht has brought together in this centenary tribute a fine collection of articles on Duruflé's life and work that will enthrall all those who have come under the spell of this great master of French Impressionism. About the contributors: Marie-Claire Alain the renowned French organist, recording artist, and teacher was one of Duruflés first harmony students at the Paris Conservatoire. James Frazier has studied liturgy and music at several universities, and was a Fulbright scholar in France, where he studied privately with Madame Duruflé. Maria Rubis Bauer concluded her doctoral dissertation on Duruflé at the University of Kansas. Jeffrey Reynolds is Associate Professor of Humanities and chair of the music department at the University of Alabama, Birmingham. Herndon Spillman's landmark recording of the complete works of Duruflé won him a Grand Prix du Disque in 1973. He is Professor of Music at Louisiana State University. Eliane Chevalier was the sister of Marie-Madeleine Duruflé, with whom she shared a passion for music. Ned Tipton is Director of Music of the American Cathedral in Paris.

New Type Hyper Groups, New Type SuperHyper Groups and Neutro-New Type SuperHyper Groups

New Type Hyper Groups, New Type SuperHyper Groups and Neutro-New Type SuperHyper Groups
Author: Abdullah Kargın
Publisher: Infinite Study
Total Pages: 15
Release: 2023-01-01
Genre: Mathematics
ISBN:

In this chapter, a new type Hyper groups are defined, corresponding basic properties and examples for new type Hyper groups are given and proved. Moreover, new type Hypergroups groups and are compared to hyper groups and groups. New type Hyper groups are shown to have a more general structure according to Hyper groups and groups. Also, new type SuperHyper groups are defined, corresponding basic properties and examples for new type SuperHyper are given and proved. Furthermore, we defined neutro-new type SuperHyper groups.