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http://dx.doi.org/10.4134/CKMS.2006.21.3.587

INTUITIONISTIC FUZZY SUBSEMIGROUPS AND SUBGROUPS ASSOCIATED BY INTUITIONISTIC FUZZY GRAPHS  

Jun, Young-Bae (Department of Mathematics Education(and RINS) Gyeongsang National University)
Publication Information
Communications of the Korean Mathematical Society / v.21, no.3, 2006 , pp. 587-593 More about this Journal
Abstract
The notion of intuitionistic fuzzy graphs is introduced. We show how to associate an intuitionistic fuzzy sub(semi)group with an intuitionistic fuzzy graph in a natural way.
Keywords
intuitionistic fuzzy subsemigroup; intuitionistic fuzzy subgroup; intuitionistic fuzzy graph; intuitionistic (auto)morphism;
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1 K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96   DOI   ScienceOn
2 K. T. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1994), 137-142   DOI   ScienceOn
3 K. T. Atanassov, Intuitionistic fuzzy sets. Theory and applications, Studies in Fuzziness and Soft Computing, 35. Heidelberg; Physica-Verlag 1999
4 K. R. Bhutani and A. Rosenfeld, Strong arcs in fuzzy graphs, Inform. Sci. 152 (2003), 319-32   DOI   ScienceOn
5 K. R. Bhutani and A. Rosenfeld, Fuzzy end nodes in fuzzy graphs, Inform. Sci. 152 (2003), 323-326   DOI   ScienceOn
6 M. Blue, B. Bush and J. Puckett, Unified approach to fuzzy graph problems, Fuzzy Sets and Systems 125 (2002), 355-368   DOI   ScienceOn
7 P. Burillo and H. Bustince, Vague sets are intuitionistic fuzzy sets, Fuzzy Sets and Systems 79 (1996), 403-405   DOI
8 H. Bustince and P. Burillo, Structures on intuitionistic fuzzy relations, Fuzzy Sets and Systems 78 (1996), 293-303   DOI   ScienceOn
9 S. K. De, R. Biswas and A. R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems 117 (2001), 209-213   DOI   ScienceOn
10 J. N. Mordeson, Fuzzy line graphs, Pattern Recognition Letters 14 (1993), 381-384   DOI   ScienceOn
11 J. N. Mordeson and C. S. Peng, Operations on fuzzy graphs, Inform. Sci. 79 (1994), 159-170   DOI   ScienceOn
12 A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517   DOI
13 L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353   DOI
14 E. Szmidt and J. Kacprzyk, Entropy for intuitionistic fuzzy sets, Fuzzy Sets and Systems 118 (2001), 467-477   DOI   ScienceOn
15 J. N. Mordeson and P. S. Nair, Cycles and cocyles of fuzzy graphs, Inform. Sci. 90 (1996), 39-49   DOI   ScienceOn
16 J. N. Mordeson and P. S. Nair, Successor and source of (fuzzy) finite state machines and (fuzzy) directed graphs, Inform. Sci. 95 (1996), 113-124   DOI   ScienceOn
17 K. H. Kim and Y. B. Jun, Intuitionistic fuzzy ideals of semigroups, Indian J. Pure Appl. Math. 33 (2002), no. 4, 443-449
18 L. Dengfeng and C. Chuntian, New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions, Pattern Recognition Letters 23 (2002), 221-225   DOI   ScienceOn
19 W. L. Gau and D. J. Buehrer, Vague sets, IEEE Trans. Systems Man Cybernet 23 (1993), 610-614   DOI   ScienceOn