Complex intuitionistic fuzzy group

Rima Al-Husban, Abdul Razak Salleh, Abd. Ghafur Ahmad

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The aim of this study is to introduce the notion of complex intuitionistic fuzzy groups based on the notion of complex intuitionistic fuzzy space this concept generaleis the concept of intuitionistic fuzzy space from the real range of membership function and non-membership [0,1], to complex range of membership function and, non-membership unit disc in the complex plane. This generalization leads us to introduce and study the approach of intuitionistic fuzzy group theory that studied by Fathi (2009) in the realm of complex numbers. In this paper, a new theory of complex intuitionistic fuzzy group is developed. Also, some notions, definitions and examples related to intuitionistic fuzzy group are generalized to the realm of complex numbers. Also a relation between complex intuitionistic fuzzy groups and classical intuitionistic fuzzy subgroups is obtained and studied.

Original languageEnglish
Pages (from-to)4929-4949
Number of pages21
JournalGlobal Journal of Pure and Applied Mathematics
Volume12
Issue number6
Publication statusPublished - 2016

Fingerprint

Fuzzy Group
Membership functions
Group theory
Complex number
Membership Function
Fuzzy Subgroup
Fuzzy Theory
Group Theory
Argand diagram
Range of data
Unit Disk

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Complex intuitionistic fuzzy group. / Al-Husban, Rima; Salleh, Abdul Razak; Ahmad, Abd. Ghafur.

In: Global Journal of Pure and Applied Mathematics, Vol. 12, No. 6, 2016, p. 4929-4949.

Research output: Contribution to journalArticle

Al-Husban, R, Salleh, AR & Ahmad, AG 2016, 'Complex intuitionistic fuzzy group', Global Journal of Pure and Applied Mathematics, vol. 12, no. 6, pp. 4929-4949.
Al-Husban, Rima ; Salleh, Abdul Razak ; Ahmad, Abd. Ghafur. / Complex intuitionistic fuzzy group. In: Global Journal of Pure and Applied Mathematics. 2016 ; Vol. 12, No. 6. pp. 4929-4949.
@article{8ece153c49d046a2b4545e93e92e952f,
title = "Complex intuitionistic fuzzy group",
abstract = "The aim of this study is to introduce the notion of complex intuitionistic fuzzy groups based on the notion of complex intuitionistic fuzzy space this concept generaleis the concept of intuitionistic fuzzy space from the real range of membership function and non-membership [0,1], to complex range of membership function and, non-membership unit disc in the complex plane. This generalization leads us to introduce and study the approach of intuitionistic fuzzy group theory that studied by Fathi (2009) in the realm of complex numbers. In this paper, a new theory of complex intuitionistic fuzzy group is developed. Also, some notions, definitions and examples related to intuitionistic fuzzy group are generalized to the realm of complex numbers. Also a relation between complex intuitionistic fuzzy groups and classical intuitionistic fuzzy subgroups is obtained and studied.",
keywords = "Complex intuitionistic fuzzy binary operation, Complex intuitionistic fuzzy group, Complex intuitionistic fuzzy space, Complex intuitionistic fuzzy subgroup",
author = "Rima Al-Husban and Salleh, {Abdul Razak} and Ahmad, {Abd. Ghafur}",
year = "2016",
language = "English",
volume = "12",
pages = "4929--4949",
journal = "Global Journal of Pure and Applied Mathematics",
issn = "0973-1768",
publisher = "Research India Publications",
number = "6",

}

TY - JOUR

T1 - Complex intuitionistic fuzzy group

AU - Al-Husban, Rima

AU - Salleh, Abdul Razak

AU - Ahmad, Abd. Ghafur

PY - 2016

Y1 - 2016

N2 - The aim of this study is to introduce the notion of complex intuitionistic fuzzy groups based on the notion of complex intuitionistic fuzzy space this concept generaleis the concept of intuitionistic fuzzy space from the real range of membership function and non-membership [0,1], to complex range of membership function and, non-membership unit disc in the complex plane. This generalization leads us to introduce and study the approach of intuitionistic fuzzy group theory that studied by Fathi (2009) in the realm of complex numbers. In this paper, a new theory of complex intuitionistic fuzzy group is developed. Also, some notions, definitions and examples related to intuitionistic fuzzy group are generalized to the realm of complex numbers. Also a relation between complex intuitionistic fuzzy groups and classical intuitionistic fuzzy subgroups is obtained and studied.

AB - The aim of this study is to introduce the notion of complex intuitionistic fuzzy groups based on the notion of complex intuitionistic fuzzy space this concept generaleis the concept of intuitionistic fuzzy space from the real range of membership function and non-membership [0,1], to complex range of membership function and, non-membership unit disc in the complex plane. This generalization leads us to introduce and study the approach of intuitionistic fuzzy group theory that studied by Fathi (2009) in the realm of complex numbers. In this paper, a new theory of complex intuitionistic fuzzy group is developed. Also, some notions, definitions and examples related to intuitionistic fuzzy group are generalized to the realm of complex numbers. Also a relation between complex intuitionistic fuzzy groups and classical intuitionistic fuzzy subgroups is obtained and studied.

KW - Complex intuitionistic fuzzy binary operation

KW - Complex intuitionistic fuzzy group

KW - Complex intuitionistic fuzzy space

KW - Complex intuitionistic fuzzy subgroup

UR - http://www.scopus.com/inward/record.url?scp=85019530070&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019530070&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85019530070

VL - 12

SP - 4929

EP - 4949

JO - Global Journal of Pure and Applied Mathematics

JF - Global Journal of Pure and Applied Mathematics

SN - 0973-1768

IS - 6

ER -