Browse > Article
http://dx.doi.org/10.14317/jami.2014.827

CAYLEY INTUITIONISTIC FUZZY GRAPHS  

Akram, Muhammad (Department of Mathematics, University of the Punjab, New Campus)
Karunambigai, M.G. (Department of Mathematics, Sri Vasavi College)
Kalaivani, O.K. (Department of Mathematics, Sri Vasavi College)
Publication Information
Journal of applied mathematics & informatics / v.32, no.5_6, 2014 , pp. 827-842 More about this Journal
Abstract
In this paper, we introduce the notion of Cayley intuitionistic fuzzy graphs and investigate some of their properties. We present some interesting properties of intuitionistic fuzzy graphs in terms of algebraic structures. We discuss connectedness in Cayley intuitionistic fuzzy graphs. We also describe different types of ${\alpha}$-connectedness in Cayley intuitionistic fuzzy graphs.
Keywords
Cayley intuitionistic fuzzy graphs; intuitionistic fuzzy subsemigroups; connectedness; ${\alpha}$-connectedness;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 M. Akram, M.G. Karunambigai and O.K. Kalaivani, Some metric aspects of intuitionistic fuzzy graphs, World Applied Sciences Journal 17 (2012), 1789-1801.
2 M. Akram and W.A. Dudek, Intuitionistic fuzzy hypergraphs with applications, Information Sci. 218(2013), 182-193.   DOI   ScienceOn
3 M. Akram and B. Davvaz, Strong intuitionistic fuzzy graphs, Filomat 26 (2012), 177-196.   DOI
4 M. Akram and N. O. Al-Shehrie, Intuitionistic fuzzy cycles and intuitionistic fuzzy trees, The Scientific World Journal, Volume 2014 (2014), Article ID 305836, 11 pages.
5 N.O. Al-Shehrie and M. Akram, Cayley bipolar fuzzy graphs, The Scienti?c World Journal, Volume 2013 (2013), Article 156786, 8 pages.
6 B. Alspach and M. Mishna, Enumeration of Cayley graphs and digraphs:I, Discrete Math. 256 (2002), 527-539.   DOI   ScienceOn
7 B. Alspach and Y. Qin, Hamilton-Connected Cayley graphs on Hamilto- nian groups, Europ. J. Combin. 22 (2001), 777-787.   DOI   ScienceOn
8 R. Biswas, Intuitionistic fuzzy subgroups, Mathematical Forum, 10(1996), 39-44.
9 K.T. Atanassov, Intuitionistic fuzzy sets: Theory and applications, Studies in fuzziness and soft computing, Heidelberg, New York, Physica-Verl., 2012.
10 K.T. Atanassov, Intuitionistic fuzzy sets, VII ITKR's Session, Sofia, June 1983, Deposed in Central Sci-Techn. Library of Bulg. Acad. of Sci., 1697/84 (in Bulgarian).
11 R. Biswas, Intuitionistic fuzzy subrings, Mathematical Forum, 10(1989), 37-46.
12 M.G. Karunambigai, R. Parvathi and O.K. Kalaivani, A Study on Atanassovs Intuitionistic Fuzzy Graphs, Proceedings of the International Conference on Fuzzy Systems, FUZZ-IEEE- 2011, Taipei, Taiwan, (2011), 157-167.
13 A. Kauffman, Introduction a la Theorie des Sous-emsembles Flous, Masson et Cie, Vol.1, 1973.
14 K.H. Kim and Y.B. Jun, Intuitionistic fuzzy interior ideals of semigroups, Internat. J. Math. Math. Sci. 27(5) (2001), 261-267.   DOI   ScienceOn
15 K. Hur, S.Y. Jang and P.K. Lim, Intuitionistic fuzzy semigroups, International Journal of Fuzzy Logic and Intelligent System 8(3) (2008), 207-219.   과학기술학회마을   DOI   ScienceOn
16 J.N. Mordeson and P.S. Nair, Fuzzy graphs and fuzzy hypergraphs, Physica Verlag, Heidelberg 1998; Second Edition 2001.
17 A. Rosenfeld, Fuzzy graphs, Fuzzy Sets and their Applications (L.A. Zadeh, K.S. Fu, M. Shimura, Eds.), Academic Press, New York (1975), 77-95.
18 N.M. M. Namboothiri, V.A. Kumar and P.T. Ramachandran, Cayley fuzzy graphs, Far East Journal of Mathematical Sciences 73(2013), 1-15.
19 R. Parvathi, M.G. Karunambigai and K.T. Atanassov, Operations on intuitionistic fuzzy graphs, Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference, 1396-1401.
20 G. Pasi, R. Yager and K.T. Atanassov, Intuitionistic fuzzy graph interpretations of multiperson multi-criteria decision making: generalized net approach, Intelligent Systems, Proceedings. 2004 2nd International IEEE Conference, 2(2004), 434 -439.
21 M.H. Shahzamanian, M. Shirmohammadi and B. Davvaz, Roughness in Cayley graphs, Information Sciences, 180(17)(2010), 3362-3372.   DOI   ScienceOn
22 S.-Y. Wu, The Compositions of fuzzy digraphs, Journal of research in education sciences 31(1986), 603-628.
23 L.A. Zadeh, Fuzzy sets, Information and Control 8(1965), 338-353.   DOI
24 L.A. Zadeh, Similarity relations and fuzzy orderings, Information Sciences 3(2)(1971), 177-200.   DOI   ScienceOn