IJPAM: Volume 115, No. 3 (2017)

Title

COMPLEX INTUITIONISTIC FUZZY NORMAL SUBGROUP

Authors

Rima Al-Husban$^1$, Abdul Razak Salleh$^2$, Abd Ghafur Bin Ahmad$^3$
$^{1,2,3}$School of Mathematical Sciences
Faculty of Science and Technology
Universiti Kebangsaan Malaysia
43600 UKM Bangi, Selangor DE, MALAYSIA

Abstract

In this paper we continue the study of complex intuitionistic fuzzy groups by introducing the notion of complex intuitionistic fuzzy normal subgroup based on complex intuitionistic fuzzy space as a generalisation of intuitionistic fuzzy normal subgroup.

History

Received: September 8, 2016
Revised: July 17, 2017
Published: July 27, 2017

AMS Classification, Key Words

AMS Subject Classification: 20N25
Key Words and Phrases: complex intuitionistic fuzzy space, complex intuitionistic fuzzy subspace, complex intuitionistic fuzzy group, complex intuitionistic fuzzy subgroup

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Bibliography

1
Abdul Razak Salleh, Sifat-sifat homomorfisma kabur bagi kumpulan kabur, In: Prosiding Simposium Kebangsaan Sains Matematik ke-7, Shah Alam, Institut Teknologi Mara, 1996.

2
Abd Ulazeez Alkouri, Abdul Razak Salleh, Complex intuitionistic fuzzy set, In: AIP Conf. Proceedings. 12-14 June, Kuala Lumpur, Malaysia, 1482 (2012), 464-470, doi: https://doi.org/10.1063/1.4757515.

3
A. Al-Husban, A.R. Salleh, Complex fuzzy group based on complex fuzzy space, Global Journal of Pure and Applied Mathematics, 2, No. 12 (2016), 1433-1450.

4
A. Al-Husban, A.R. Salleh, N. Hassan, Complex fuzzy normal subgroup, In: The UKM FST Postgraduate Colloquium, AIP Conference Proceedings (2015), 060008.

5
R. Al-Husban, A.R. Salleh, A.G. Ahmad, Complex intuitionistic fuzzy rings, In: AIP Conference Proceedings, 1739, No. 1 (2016).

6
R. Al-Husban, A.R. Salleh, A.G. Ahmad, Complex intuitionistic fuzzy subrings, In: AIP Conference Proceedings, 1784, No. 1 (2016).

7
J.M. Anthony, H. Sherwood, Fuzzy groups redefined, Journal of Math. Anal. Appl., 69 (1979), 124-130.

8
J.M. Anthony, H. Sherwood, A characterization of fuzzy subgroups, Fuzzy Sets and Systems, 7 (1982), 297-305.

9
J.J. Buckley, Fuzzy complex numbers, Fuzzy Sets and Systems,33 (1989), 333-345.

10
K.A. Dib, A.A.M. Hassan, The fuzzy normal subgroup, Fuzzy Sets and Systems, 98 (1998), 393-402.

11
K.A. Dib, On fuzzy spaces and fuzzy group theory, Inform. Sci., 80 (1994), 253-282.

12
M. Fathi, A.R. Salleh, Intuitionistic fuzzy groups, Asian Journal of Algebra, 2, No. 1 (2009), 1-10.

13
M. Fathi, A.R. Salleh, The intuitionistic fuzzy normal subgroup, International Journal of Fuzzy Logic and Intelligent Systems, 10, No. 1 (2010), 82-88.

14
I.J. Kumar, P.K. Saxena, P. Yadava, Fuzzy normal subgroups and fuzzy quotients, Fuzzy Sets and Systems, 46 (1992), 121-132.

15
C.V. Negoita, D.A. Ralescu, Applications of Fuzzy Sets to System Analysis, Wiley, New York, 1975.

16
D. Ramot, M. Friedman, G. Langholz, A. Kandel, Complex fuzzy logic, IEEE Transaction on Fuzzy Systems, 11, No. 4 (2003), 450-461.

17
D. Ramot, R. Milo, M. Friedman, A. Kandel, Complex fuzzy sets, IEEE Transaction on Fuzzy Systems, 10 (2002), 171-186.

18
A. Ronsfeld, Fuzzy groups, Journal of Mathematical Analysis and Applications, 35 (1971), 512-517.

19
H. Sherwood, Product of fuzzy subgroups, Fuzzy Sets and Systems, 11 (1983), 79-89.

20
L.A. Zadeh, Fuzzy sets, Inform. Control, 8 (1965), 338-353.

21
P. Zhan, Z. Tan, Intuitionistic M-fuzzy subgroups, Soochow Journal of Mathematics, 30 (2004), 85-90.

How to Cite?

DOI: 10.12732/ijpam.v115i3.1 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 3
Pages: 455 - 466


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