S. SAHOO, M. PAL

1817

INTUITIONISTIC FUZZY LABELING GRAPHS

In this paper, some new connectivity concepts in intuitionistic fuzzy labeling graphs are defined. The concepts of strong arc, partial cut node, bridge and block are introduced. Also, intuitionistic fuzzy labeling tree is defined and investigated many interesting properties. Finally, partial intuitionistic fuzzy labeling tree is dened and established many interesting properties on it, which plays a major role in many areas of science and technology.
Keywords:

Intuitionistic fuzzy graphs, intuitionistic fuzzy labeling graphs intuitionistic fuzzy labeling tree, partial intuitionistic fuzzy labeling tree.,

PDF

___

  • Akram M and Davvaz B (2012) Strong intuitionistic fuzzy graphs. Filomat, 26(1) p.177-196.
  • Akram M., Ashraf A., Swrwar S. M., (2015), Novel application of intuitionistic fuzzy digraphs in decision support systems. The Scientific World Journal, Article ID 904606, 11 pages.
  • Akram M., Dudek W. A., (2013) Intuitionistic fuzzy hypergraphs with applications. Information Sciences, 218, p: 182-193.
  • Akram M., Al-Shehrie N. O., (2014) Intuitionistic fuzzy cycles and intuitionistic fuzzy trees. The Scientific World Journal, 11 pages.
  • Akram M., Akmal R., (2017), Intuitionistic Fuzzy Graph Structures. Kragujevac Journal of Mathe- matics, 41(2) p: 219237.
  • Akram M., Akmal R., (2016), Operations on Intuitionistic Fuzzy Graph Structures. Fuzzy Information and Engineering, 8(4) p: 389410.
  • Al-Shehrie N. O., Akram M., (2014), Intuitionistic fuzzy planar graphs. Discrete Dynamics in Nature and Society, 9 pages.
  • Atanassov K. T., (1983) Intuitionistic fuzzy sets. VII ITKR’s Seession, Deposed inCentral for Science Technical Library of Bulgarian Academy of Science, 1697/84, Sofia, Bulgaria.
  • Atanassov K. T., (1986), Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, p: 87-96.
  • Karunambigai M. G., Akram M., Sivasankar S., Palanivel K., (2013), Balanced intuitionistic fuzzy graphs. Applied Mathematical Sciences, 7 p:2501-2514.
  • Kauffman A., (1973), Introduction a la theorie des sousemsembles flous. Masson et cie, 1.
  • Pal M., Samanta S., Rashmanlou H., (2015) Some results on interval-valued fuzzy graphs. International Journal of Computer Science and Electronics Engineering, 3(3), p: 205-211.
  • Parvathi R., Karunambigai M. G., (2006), Intuitionistic fuzzy graphs. Computational Intelligence, Theory and Application, 38, p: 139-150.
  • Pramanik T., Samanta S., Pal M., (2014), Interval-valued fuzzy planar graphs. International Journal of Machine Learning and Cybernetics, DOI:10.1007/s13042-014-0284-7.
  • Rashmanlou H., Pal M., (2013) Some properties of highly irregular interval valued fuzzy graphs. World Applied Sciences Journal, 27, (12), p: 1756-1773.
  • Rashmanlou H., Pal M., (2013), Balanced interval-valued fuzzy graphs. Journal of Physical Sciences, , p: 43-57.
  • Rashmanlou H., Pal M., (2014), Isometry on interval-valued fuzzy graphs. Intern. J. Fuzzy Mathe- matical Archive, 3, p: 28-35.
  • Rashmanlou H., Samanta S., Pal M., Borzooei R. A., (2015) A study on bipolar fuzzy graphs. Journal of Intelligent and Fuzzy Systems, 28, p: 571-580.
  • Rashmanlou H., Samanta S., Pal M., Borzooei R. A., (2015) Bipolar fuzzy graphs with Categorical properties. The International Journal of Computational Intelligence Systems, 8(5), p: 808-818.
  • Rosenfield A., (1975), Fuzzy graphs. Fuzzy Sets and Their Application (L. A. Zadeh, K. S. Fu, M. Shimura, Eds.) Academic press, New York, p: 77-95.
  • Sahoo S., Pal M., (2015), Different types of products on intuitionistic fuzzy graphs. Pacific Science Review A: Natural Science and Engineering, 17(3), p: 87-96.
  • Sahoo S., Pal M., (2015), Intuitionistic fuzzy competition graph. Journal of Applied Mathematics and Computing, 52(1) p: 37-57.
  • Sahoo S., Pal M., (2016), Intuitionistic fuzzy tolerance graphs with application. Journal of Applied Mathematics and Computing, DOI:10.1007/s12190-016-1047-2.
  • Sahoo S., Pal M., (2016), Product of intuitionistic fuzzy graphs and degree. Journal of Intelligent and Fuzzy Systems, 32(1), p: 1059-1067.
  • Samanta S., Akram M., Pal M., (2015), M-step fuzzy compitition graphs. Journal of Applied Mathe- matics and Computing, Springer. DOI: 10.1007/s12190-014-0785-2, 2014, 47(2015), p: 461-472.
  • Samanta S., Pal A., Pal M., (2014), New concepts of fuzzy planar graphs. International Journal of Advanced Research in Artificial Intelligence, 3(1), p: 52-59.
  • Samanta S., Pal M., (2011), Fuzzy threshold graphs. CIIT International Journal of Fuzzy Systems, 3, p: 360-364.
  • Samanta S., Pal M., (2011), Fuzzy tolerance graphs. International Journal of Latest Trends in Math- ematics, 1, p: 57-67.
  • Samanta S., Pal M., (2012), Bipolar fuzzy hypergraphs. International Journal of Fuzzy Logic Systems, (1), p: 17-28.
  • Samanta S., Pal M., (2012), Irregular bipolar fuzzy graphs. International Journal of Applications of Fuzzy Sets, 2, p: 91-102.
  • Samanta S., Pal M., (2013), Fuzzy k-competition graphs and p-competition fuzzy graphs. Fuzzy Information and Engineering, 5, p: 191-204.
  • Samanta S., Pal M., (2013), Telecommunication System Based on Fuzzy Graphs. J Telecommun Syst Manage, 3, p: 1-6.
  • Samanta S., Pal M., (2014), Some more results on bipolar fuzzy sets and bipolar fuzzy intersection graphs. The Journal of Fuzzy Mathematics, 22(2), p: 253-262.
  • Samanta S., Pal M., (2015), Fuzzy planar graph. IEEE Transaction on Fuzzy Systems, 23, (6) p: 1942.
  • Samanta S., Pramanik T., Pal M., (2015) Fuzzy colouring of fuzzy graphs. Afrika Mathematika, 27(1) p: 37-50.
  • Sarwar M., Akram M., (2016), Novel concepts of bipolar fuzzy competition graphs. Journal of Applied Mathematics and Computing. DOI: 10.1007/s12190-016-1021-z.
TWMS Journal of Applied and Engineering Mathematics-Cover
  • ISSN: 2146-1147
  • Başlangıç: 2010
  • Yayıncı: Turkic World Mathematical Society
Arşiv
Sayıdaki Diğer Makaleler

S. SAHOO, M. PAL

M. Y. ABBASİ, A. F. TALEE, X. Y. XİE, S. A. KHAN

H. TARİQ, G. AKRAM

S. NAZ, M. A. MALİK

C. BAYINDIR

T. TUNÇ, H. BUDAK, M. Z. SARİKAYA

K. BORUAH, B. HAZARİKA

J. JAWDAT

A. HASSAN, M. A. MALİK

M. BAHŞİ, S. SOLAK