Complex fuzzy group based on complex fuzzy space

Abdallah Al-Husban, Abdul Razak Salleh

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this paper the concept of complex fuzzy space and complex fuzzy binary operation are presented and developed. This concept generalises the concept of fuzzy space from the real range of membership function, [0,1], to complex range of membership function, unit disc in the complex plane. This generalisation leads us to introduce and study the approach of fuzzy group theory in the realm of complex numbers. A new theory of complex fuzzy group is introduced and developed.

Original languageEnglish
Pages (from-to)1433-1450
Number of pages18
JournalGlobal Journal of Pure and Applied Mathematics
Volume12
Issue number2
Publication statusPublished - 2016

Fingerprint

Fuzzy Group
Membership functions
Group theory
Membership Function
Binary operation
Fuzzy Theory
Group Theory
Complex number
Argand diagram
Range of data
Unit Disk
Generalise
Concepts

Keywords

  • Complex fuzzy binary operation
  • Complex fuzzy group
  • Complex fuzzy space
  • Complex fuzzy subgroup
  • Complex fuzzy subspace

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Complex fuzzy group based on complex fuzzy space. / Al-Husban, Abdallah; Salleh, Abdul Razak.

In: Global Journal of Pure and Applied Mathematics, Vol. 12, No. 2, 2016, p. 1433-1450.

Research output: Contribution to journalArticle

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