Complex vague soft sets and its distance measures

Ganeshsree Selvachandran, P. K. Maji, Israa E. Abed, Abdul Razak Salleh

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

In this paper, we propose the concept of complex vague soft sets which are vague soft sets defined in a complex setting. Based on this new concept we define some concepts related to this notion as well as some basic operations namely the complement, union, intersection, AND and OR. The basic properties and relevant laws pertaining to this concept such as the De Morgan's laws are also verified. We introduce the axiomatic definition of the distance function between two complex vague soft sets and subsequently define several distance measures between complex vague soft sets. Finally some of the algebraic properties of these distance measures are verified.

Original languageEnglish
Pages (from-to)55-68
Number of pages14
JournalJournal of Intelligent and Fuzzy Systems
Volume31
Issue number1
DOIs
Publication statusPublished - 13 Jun 2016

Fingerprint

Vague Set
Soft Set
Distance Measure
De Morgan's laws
Distance Function
Union
Complement
Intersection
Concepts

Keywords

  • complex fuzzy set
  • complex intuitionistic fuzzy set
  • Complex vague soft set
  • fuzzy set
  • vague soft set

ASJC Scopus subject areas

  • Artificial Intelligence
  • Engineering(all)
  • Statistics and Probability

Cite this

Selvachandran, G., Maji, P. K., Abed, I. E., & Salleh, A. R. (2016). Complex vague soft sets and its distance measures. Journal of Intelligent and Fuzzy Systems, 31(1), 55-68. https://doi.org/10.3233/IFS-162116

Complex vague soft sets and its distance measures. / Selvachandran, Ganeshsree; Maji, P. K.; Abed, Israa E.; Salleh, Abdul Razak.

In: Journal of Intelligent and Fuzzy Systems, Vol. 31, No. 1, 13.06.2016, p. 55-68.

Research output: Contribution to journalArticle

Selvachandran, G, Maji, PK, Abed, IE & Salleh, AR 2016, 'Complex vague soft sets and its distance measures', Journal of Intelligent and Fuzzy Systems, vol. 31, no. 1, pp. 55-68. https://doi.org/10.3233/IFS-162116
Selvachandran, Ganeshsree ; Maji, P. K. ; Abed, Israa E. ; Salleh, Abdul Razak. / Complex vague soft sets and its distance measures. In: Journal of Intelligent and Fuzzy Systems. 2016 ; Vol. 31, No. 1. pp. 55-68.
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