Rings and ideals in a vague soft set setting

Ganeshsree Selvachandran, Abdul Razak Salleh

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we present a more accurate definition of the concepts pertaining to the theory of vague soft rings. We redefine the notion of vague soft rings and other concepts related to this concept such as vague soft ideals, idealistic vague soft rings and vague soft ring homomorphism in a manner which better reflects the characteristics of the concept of vague soft sets that were used to construct these concepts. The fundamental properties and structural characteristics of these concepts are then studied and discussed. The relationship between the concepts introduced here and the corresponding concepts in soft ring theory and classical ring theory are investigated. Lastly, we prove that the vague soft ring homomorphism introduced here preserves vague soft rings.

Original languageEnglish
Pages (from-to)279-300
Number of pages22
JournalFar East Journal of Mathematical Sciences
Volume99
Issue number2
DOIs
Publication statusPublished - 1 Jan 2016

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Vague Set
Soft Set
Ring
Homomorphism
Concepts

Keywords

  • Fuzzy soft sets
  • Ideals
  • Soft
  • Soft rings
  • Soft sets
  • Vague soft ideals
  • Vague soft rings
  • Vague soft sets

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Rings and ideals in a vague soft set setting. / Selvachandran, Ganeshsree; Salleh, Abdul Razak.

In: Far East Journal of Mathematical Sciences, Vol. 99, No. 2, 01.01.2016, p. 279-300.

Research output: Contribution to journalArticle

Selvachandran, Ganeshsree ; Salleh, Abdul Razak. / Rings and ideals in a vague soft set setting. In: Far East Journal of Mathematical Sciences. 2016 ; Vol. 99, No. 2. pp. 279-300.
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