Soft hypergroups and soft hypergroup homomorphism

Ganeshsree Selvachandran, Abdul Razak Salleh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

Soft set is a general mathematical tool for dealing with uncertainties and imprecision. Many complicated problems in economics, engineering, environment, social science, medical science and other fields involve uncertain data. These problems cannot be solved using existing classical methods such as fuzzy set theory and rough set theory. Hence the concept of soft sets was introduced as a new mathematical tool for dealing with uncertainties that is free from the difficulties affecting the existing methods. The theory of hyperstructures and hyperalgebra on the other hand, was introduced as an extension of the classical theory of sets as well as the theory of abstract algebra. This theory states that in an algebraic hyperstructure, the composition of two elements is a set. The study of soft hyperstructures which is an extension of the theory of soft sets and the theory of algebraic hyperstructures began with the introduction of the notion of soft hypergroupoids and soft subhypergroupoids. In this paper, we study the theory of soft hyperalgebra by introducing the notion of soft hypergroups and soft subhypergroups as an extension of the notion of soft sets, algebraic hyperstructures and soft hyperstructures. This is followed by the introduction of the notion of soft homomorphism of hypergroups. Furthermore the basic properties and structural characteristics of these notions are studied and discussed.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages821-827
Number of pages7
Volume1522
DOIs
Publication statusPublished - 2013
Event20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya
Duration: 18 Dec 201220 Dec 2012

Other

Other20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
CityPutrajaya
Period18/12/1220/12/12

Fingerprint

set theory
medical science
fuzzy sets
economics
algebra
engineering

Keywords

  • Soft Hypergroup Homomorphism
  • Soft Hypergroups
  • Soft Hyperstructures

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Selvachandran, G., & Salleh, A. R. (2013). Soft hypergroups and soft hypergroup homomorphism. In AIP Conference Proceedings (Vol. 1522, pp. 821-827) https://doi.org/10.1063/1.4801211

Soft hypergroups and soft hypergroup homomorphism. / Selvachandran, Ganeshsree; Salleh, Abdul Razak.

AIP Conference Proceedings. Vol. 1522 2013. p. 821-827.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Selvachandran, G & Salleh, AR 2013, Soft hypergroups and soft hypergroup homomorphism. in AIP Conference Proceedings. vol. 1522, pp. 821-827, 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Putrajaya, 18/12/12. https://doi.org/10.1063/1.4801211
Selvachandran G, Salleh AR. Soft hypergroups and soft hypergroup homomorphism. In AIP Conference Proceedings. Vol. 1522. 2013. p. 821-827 https://doi.org/10.1063/1.4801211
Selvachandran, Ganeshsree ; Salleh, Abdul Razak. / Soft hypergroups and soft hypergroup homomorphism. AIP Conference Proceedings. Vol. 1522 2013. pp. 821-827
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