Skip to main content
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2016

01.10.2016

Intuitionistic fuzzy competition graphs

verfasst von: Sankar Sahoo, Madhumangal Pal

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2016

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Intuitionistic fuzzy competition graph as a generalization of competition graph is introduced. In this paper, two generalizations of intuitionistic fuzzy competition graphs as intuitionistic fuzzy k-competition graphs and p-competition intuitionistic fuzzy graphs are introduced. Also, intuitionistic fuzzy neighbourhood graphs, m-steps intuitionistic fuzzy competition graphs are defined and investigated many interesting results. A very appropriate application of intuitionistic fuzzy graph in ecosystem is discussed to highlight the importance and use of intuitionistic fuzzy graph in real life.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Acharya, B.D., Vartak, M.N.: Open neibourhood graphs. Research Report 07, IIT Bombey (1973) Acharya, B.D., Vartak, M.N.: Open neibourhood graphs. Research Report 07, IIT Bombey (1973)
2.
Zurück zum Zitat Akram, M., Ashraf, A., Swrwar, S.M.: Novel application of intuitionistic fuzzy digraphs in decision support systems. Sci. World J., 2014, Article ID 904606 (2015) Akram, M., Ashraf, A., Swrwar, S.M.: Novel application of intuitionistic fuzzy digraphs in decision support systems. Sci. World J., 2014, Article ID 904606 (2015)
5.
Zurück zum Zitat Akram, M., Al-Shehrie, N.O.: Intuitionistic fuzzy cycles and Intuitionistic fuzzy trees. Sci. World J. 7, 654–661 (2014) Akram, M., Al-Shehrie, N.O.: Intuitionistic fuzzy cycles and Intuitionistic fuzzy trees. Sci. World J. 7, 654–661 (2014)
6.
Zurück zum Zitat Al-Shehrie, N.O., Akram, M.: Bipolar fuzzy competition graphs. Ars Comb. 121, 385–402 (2015)MathSciNet Al-Shehrie, N.O., Akram, M.: Bipolar fuzzy competition graphs. Ars Comb. 121, 385–402 (2015)MathSciNet
7.
Zurück zum Zitat Al-Shehrie, N.O., Akram, M. Intuitionistic fuzzy planar graphs. Discret. Dyn. Nat. Soc. 2014 (2014) Al-Shehrie, N.O., Akram, M. Intuitionistic fuzzy planar graphs. Discret. Dyn. Nat. Soc. 2014 (2014)
8.
Zurück zum Zitat Atanassov, K.T.: Intuitionistic fuzzy sets. VII ITKR’s Seession, Deposed inCentral for Science-Technical Library of Bulgarian Academy of Science, 1697/84, Sofia, Bulgaria (1983) Atanassov, K.T.: Intuitionistic fuzzy sets. VII ITKR’s Seession, Deposed inCentral for Science-Technical Library of Bulgarian Academy of Science, 1697/84, Sofia, Bulgaria (1983)
10.
Zurück zum Zitat Atanassov, K.T.: Intuitionistic Fuzzy Sets: Theory and Application. Studies in Fuzziness and Soft Computing, Heidelberg (2012)CrossRefMATH Atanassov, K.T.: Intuitionistic Fuzzy Sets: Theory and Application. Studies in Fuzziness and Soft Computing, Heidelberg (2012)CrossRefMATH
11.
Zurück zum Zitat Brigham, R.C., Dutton, R.D.: On neighbourhood graphs. J. Comb. Inf. Syst. Sci. 12, 75–85 (1987)MathSciNetMATH Brigham, R.C., Dutton, R.D.: On neighbourhood graphs. J. Comb. Inf. Syst. Sci. 12, 75–85 (1987)MathSciNetMATH
12.
14.
15.
Zurück zum Zitat Cohen, J.E.: Interval graphs and food webs: a finding and a problems. Document 17696- PR, RAND Corporation, Santa Monica, CA (1968) Cohen, J.E.: Interval graphs and food webs: a finding and a problems. Document 17696- PR, RAND Corporation, Santa Monica, CA (1968)
16.
Zurück zum Zitat Isaak, G., Kim, S.R., Mckce, T.A., MacMorris, F.R., Roberts, F.S.: 2-Competition graphs. SIAM J. Discret. Math. 5(4), 524–538 (1992)MathSciNetCrossRef Isaak, G., Kim, S.R., Mckce, T.A., MacMorris, F.R., Roberts, F.S.: 2-Competition graphs. SIAM J. Discret. Math. 5(4), 524–538 (1992)MathSciNetCrossRef
17.
Zurück zum Zitat Jenson, J.B., Gutin, G.Z.: Digraphs: Theory, Algorithms and Applications. Springer, Berlin (2009)CrossRef Jenson, J.B., Gutin, G.Z.: Digraphs: Theory, Algorithms and Applications. Springer, Berlin (2009)CrossRef
18.
Zurück zum Zitat Karunambigai, M.G., Akram, M., Sivasankar, S., Palanivel, K.: Balanced intuitionistic fuzzy graphs. Appl. Math. Sci. 7, 2501–2514 (2013)MathSciNet Karunambigai, M.G., Akram, M., Sivasankar, S., Palanivel, K.: Balanced intuitionistic fuzzy graphs. Appl. Math. Sci. 7, 2501–2514 (2013)MathSciNet
19.
Zurück zum Zitat Kauffman, A.: Introduction a la Theorie des Sousemsembles Flous. Masson et cie, Paris (1973) Kauffman, A.: Introduction a la Theorie des Sousemsembles Flous. Masson et cie, Paris (1973)
20.
Zurück zum Zitat Kim, S.-R., Mckee, T., McMorris, F.R., Reberts, F.S.: \(p\)-Competetion graphs. Linear Algebra Appl. 217, 167–168 (1995)MathSciNetCrossRef Kim, S.-R., Mckee, T., McMorris, F.R., Reberts, F.S.: \(p\)-Competetion graphs. Linear Algebra Appl. 217, 167–168 (1995)MathSciNetCrossRef
21.
Zurück zum Zitat Lundgren, J.R., Maybee, J.S.: Food webs with interval competition graph. In: Graphs and Application: Proceedings of the First Colorado Symposium on Graph Theory. Wiley, New York (1984) Lundgren, J.R., Maybee, J.S.: Food webs with interval competition graph. In: Graphs and Application: Proceedings of the First Colorado Symposium on Graph Theory. Wiley, New York (1984)
22.
Zurück zum Zitat Pal, M., Samanta, S., Rashmanlou, H.: Some results on interval-valued fuzzy graphs. Int. J. Comput. Sci. Electron. Eng. 3(3), 205–211 (2015)MathSciNet Pal, M., Samanta, S., Rashmanlou, H.: Some results on interval-valued fuzzy graphs. Int. J. Comput. Sci. Electron. Eng. 3(3), 205–211 (2015)MathSciNet
23.
Zurück zum Zitat Parvathi, R., Karunambigai, M.G.: Intuitionistic fuzzy graphs. Comput. Intell. Theory Appl. 38, 139–150 (2006) Parvathi, R., Karunambigai, M.G.: Intuitionistic fuzzy graphs. Comput. Intell. Theory Appl. 38, 139–150 (2006)
25.
Zurück zum Zitat Rashmanlou, H., Pal, M.: Some properties of highly irregular interval valued fuzzy graphs. World Appl. Sci. J. 27(12), 1756–1773 (2013) Rashmanlou, H., Pal, M.: Some properties of highly irregular interval valued fuzzy graphs. World Appl. Sci. J. 27(12), 1756–1773 (2013)
26.
Zurück zum Zitat Rashmanlou, H., Pal, M.: Balanced interval-valued fuzzy graphs. J. Phys. Sci. 17, 43–57 (2013)MathSciNet Rashmanlou, H., Pal, M.: Balanced interval-valued fuzzy graphs. J. Phys. Sci. 17, 43–57 (2013)MathSciNet
27.
Zurück zum Zitat Rashmanlou, H., Pal, M.: Isometry on interval-valued fuzzy graphs. Int. J. Fuzzy Math. Arch. 3, 28–35 (2014) Rashmanlou, H., Pal, M.: Isometry on interval-valued fuzzy graphs. Int. J. Fuzzy Math. Arch. 3, 28–35 (2014)
28.
Zurück zum Zitat Rashmanlou, H., Samanta, S., Pal, M., Borzooei, R.A.: A study on bipolar fuzzy graphs. J. Intell. Fuzzy Syst. 28, 571–580 (2015)MathSciNet Rashmanlou, H., Samanta, S., Pal, M., Borzooei, R.A.: A study on bipolar fuzzy graphs. J. Intell. Fuzzy Syst. 28, 571–580 (2015)MathSciNet
29.
Zurück zum Zitat Rashmanlou, H., Samanta, S., Pal, M., Borzooei, R.A.: Bipolar fuzzy graphs with categorical properties. Int. J. Comput. Intell. Syst. 8(5), 808–818 (2015)CrossRef Rashmanlou, H., Samanta, S., Pal, M., Borzooei, R.A.: Bipolar fuzzy graphs with categorical properties. Int. J. Comput. Intell. Syst. 8(5), 808–818 (2015)CrossRef
30.
Zurück zum Zitat Rosenfield, A.: Fuzzy graphs. In: zadeh, L.A., Fu, K.S., Shimura, M. (eds.) Fuzzy Sets and their Application, pp. 77–95. Academic press, New York (1975) Rosenfield, A.: Fuzzy graphs. In: zadeh, L.A., Fu, K.S., Shimura, M. (eds.) Fuzzy Sets and their Application, pp. 77–95. Academic press, New York (1975)
32.
Zurück zum Zitat Samanta, S., Pal, A., Pal, M.: New concepts of fuzzy planar graphs. Int. J. Adv. Res. Artif. Intell. 3(1), 52–59 (2014) Samanta, S., Pal, A., Pal, M.: New concepts of fuzzy planar graphs. Int. J. Adv. Res. Artif. Intell. 3(1), 52–59 (2014)
33.
Zurück zum Zitat Samanta, S., Pal, M.: Fuzzy threshold graphs. CIIT Int. J. Fuzzy Syst. 3, 360–364 (2011) Samanta, S., Pal, M.: Fuzzy threshold graphs. CIIT Int. J. Fuzzy Syst. 3, 360–364 (2011)
34.
Zurück zum Zitat Samanta, S., Pal, M.: Fuzzy tolerance graphs. Int. J. Latest Trends Math. 1, 57–67 (2011) Samanta, S., Pal, M.: Fuzzy tolerance graphs. Int. J. Latest Trends Math. 1, 57–67 (2011)
35.
Zurück zum Zitat Samanta, S., Pal, M.: Bipolar fuzzy hypergraphs. Int. J. Fuzzy Logic Syst. 2(1), 17–28 (2012)CrossRef Samanta, S., Pal, M.: Bipolar fuzzy hypergraphs. Int. J. Fuzzy Logic Syst. 2(1), 17–28 (2012)CrossRef
36.
Zurück zum Zitat Samanta, S., Pal, M.: Irregular bipolar fuzzy graphs. Int. J. Appl. Fuzzy Sets 2, 91–102 (2012) Samanta, S., Pal, M.: Irregular bipolar fuzzy graphs. Int. J. Appl. Fuzzy Sets 2, 91–102 (2012)
37.
Zurück zum Zitat Samanta, S., Pal, M.: Fuzzy \(k\)-competition graphs and \(p\)-competition fuzzy graphs. Fuzzy Inf. Eng. 5, 191–204 (2013)MathSciNetCrossRef Samanta, S., Pal, M.: Fuzzy \(k\)-competition graphs and \(p\)-competition fuzzy graphs. Fuzzy Inf. Eng. 5, 191–204 (2013)MathSciNetCrossRef
38.
Zurück zum Zitat Samanta, S., Pal, M.: Telecommunication system based on fuzzy graphs. J. Telecommun. Syst. Manag. 3, 1–6 (2013) Samanta, S., Pal, M.: Telecommunication system based on fuzzy graphs. J. Telecommun. Syst. Manag. 3, 1–6 (2013)
39.
Zurück zum Zitat Samanta, S., Pal, M.: Some more results on bipolar fuzzy sets and bipolar fuzzy intersection graphs. J. Fuzzy Math. 22(2), 253–262 (2014) Samanta, S., Pal, M.: Some more results on bipolar fuzzy sets and bipolar fuzzy intersection graphs. J. Fuzzy Math. 22(2), 253–262 (2014)
42.
Zurück zum Zitat Scott, D.D.: The competition-common energy graph of a digraph. Discret. Appl. Math. 17, 269–280 (1987)CrossRefMATH Scott, D.D.: The competition-common energy graph of a digraph. Discret. Appl. Math. 17, 269–280 (1987)CrossRefMATH
Metadaten
Titel
Intuitionistic fuzzy competition graphs
verfasst von
Sankar Sahoo
Madhumangal Pal
Publikationsdatum
01.10.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2016
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-015-0928-0

Weitere Artikel der Ausgabe 1-2/2016

Journal of Applied Mathematics and Computing 1-2/2016 Zur Ausgabe