On Some Neutrohyperstructures
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On Some NeutroHyperstructures
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.
Algebraic Hyperstructures And Applications - Proceedings Of The Fourth International Congress
Author: Thomas Vougiouklis
language: en
Publisher: World Scientific
Release Date: 1991-04-22
Topics covered include semihypergroups, hypergroups, hyperrings, hyperfields, hypermatrices, ordered hyperstructures etc., related topics as join spaces, cogroups, polygroups and finally applications on combinatorics, field theory, finite geometry, computer science etc.
Walk Through Weak Hyperstructures, A: Hv-structures
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.