Algebraic hyperstructures associated to biological inheritance

Tahan, M. Al; Davvaz, Bijan

doi:10.1016/j.mbs.2017.01.002

Cited by 14 publications

(8 citation statements)

References 4 publications

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“…Several examples are provided from different biology points of view, and it is shown that the theory of hyperstructures exactly fits the inheritance issue. In [8], Al Tahan and Davvaz presented examples of five different types of Non-Mendelian inheritance and studied their relation with hyperstucture theory. They made some hypothetical crosses for the n-hybrid case for both simple and incomplete inheritances and studied their relations with hyperstructures.…”

Section: Applications Of Hyperstructures In Biology Physics and Chemmentioning

confidence: 99%

A brief survey on algebraic hyperstructures: Theory and applications

Davvaz

2020

JAHLA

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I am working on algebraic hyperstructures from 1995. During the last twenty years, I together with my students and co-authors studied and developed the theory of algebraic hyperstructures in many directions. In particular, we tried to find real examples of hyperstructures in nature. In this paper we review some parts of these works such as (1) Fundamental relations on hyperstructures; (2) Fuzzy sets and hyperstructures; (3) Rough sets and hyperstructures; (4) Topology and hyperstructures; (5) Number theory and hyperstructures; (6) n-ary hypergroups and there extension to hyperrings and hypermodules; (7) Applications of hyperstructures in biology, physics and chemistry.

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Section: Applications Of Hyperstructures In Biology Physics and Chemmentioning

confidence: 99%

A brief survey on algebraic hyperstructures: Theory and applications

Davvaz

2020

JAHLA

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“…. ) were widely studied from the theoretical point of view and for their applications to many subjects of pure and applied mathematics (see [1,2,3,4,6,7,8,10,12,20,26,27]). There exists different kinds of hyperrings.…”

Section: Introductionmentioning

confidence: 99%

$\lambda$-CONSTACYCLIC CODES OVER FINITE KRASNER HYPERFIELDS

Tahan

Davvaz

2022

FU Math Inform

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“…The class of algebraic hyperstructures is larger than that of algebraic structures where the operation on two elements in the latter is again an element, whereas the hyperoperation of two elements in the first class is a non-void set. For details about hyperstructure theory and its applications, we refer to the articles [12][13][14][15] and the books [16][17][18]. A generalization of algebraic hyperstructures, known as weak hyperstructures (H v -structures), was introduced in 1994 by Vougiouklis [19].…”

Section: Introductionmentioning

confidence: 99%

On Some NeutroHyperstructures

et al. 2021

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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.

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Algebraic hyperstructures associated to biological inheritance

Cited by 14 publications

References 4 publications

A brief survey on algebraic hyperstructures: Theory and applications

A brief survey on algebraic hyperstructures: Theory and applications

$\lambda$-CONSTACYCLIC CODES OVER FINITE KRASNER HYPERFIELDS

On Some NeutroHyperstructures

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