Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
International Journal of Machine Learning and Cybernetics
Published in: International Journal of Machine Learning and Cybernetics 4/2016

01-08-2016 | Original Article

Interval-valued fuzzy planar graphs

Authors: Tarasankar Pramanik, Sovan Samanta, Madhumangal Pal

Published in: International Journal of Machine Learning and Cybernetics | Issue 4/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, interval-valued fuzzy planar graphs are defined and several properties are studied. The interval-valued fuzzy graphs are more efficient than fuzzy graphs, since the degree of membership of vertices and edges lie within the interval [0, 1] instead at a point in fuzzy graphs. We also use the term ‘degree of planarity’ to measures the nature of planarity of an interval-valued fuzzy graph. The other relevant terms such as strong edges, interval-valued fuzzy faces, strong interval-valued fuzzy faces are defined here. The interval-valued fuzzy dual graph which is closely associated to the interval-valued fuzzy planar graph is defined. Several properties of interval-valued fuzzy dual graph are also studied. An example of interval-valued fuzzy planar graph is given.
previous article Exponential state estimation for Markovian jumping neural networks with mixed time-varying delays and discontinuous activation functions
next article Delay-dependent decentralized control for nonlinear similar interconnected large-scale systems

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

inform now

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!

inform now

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!

inform now
Show more products
Literature
1.
Abdul Jabbar N, Naoom JH, Ouda EH (2009) Fuzzy dual graph. J Al Nahrain Univ 12:168–171
2.
Akram M (2012) Interval-valued fuzzy line graphs. Neural Comput Appl 21:145–150CrossRef
3.
4.
5.
6.
7.
8.
9.
Karunambigai MG, Parvathi R (2006) Intuitionistic fuzzy graphs. J Comput Intell Theory Appl 20:139–150
10.
11.
Mathew S, Sunitha MS (2013) Strongest strong cycles and theta fuzzy graphs. IEEE Trans Fuzzy Syst 21:1096–1104CrossRef
12.
Mordeson JN, Nair PS (2000) Fuzzy Graphs and Hypergraphs, Physica. Verlag
13.
14.
Nagoorgani A, Shajitha Begum S (2010) Degree, order and size in intuitionistic fuzzy graphs. Int J Algorithm Comput Math 3:11–16
15.
16.
Nayeem SMA, Pal M (2008) The p-center problem on fuzzy networks and reduction of cost. Iran J Fuzzy Syst 5:1–26MathSciNetMATH
17.
Parvathi R, Karunambigai MG, Atanassov K (2009) Operations on intuitionistic fuzzy graphs. In: Proceedings of IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), pp 1396–1401
18.
Rosenfeld A (1975) Fuzzy graphs. In: Zadeh LA, Fu KS, Shimura M (eds) Fuzzy sets and their applications. Academic Press, New York, pp 77–95
19.
Rashmanlou H, Jun YB (2013) Complete interval-valued fuzzy graphs. Ann Fuzzy Math Inform 6(3):677–687MathSciNetMATH
20.
Rashmanlou H, Pal M (2013) Antipodal interval-valued fuzzy graphs. Int J Appl Fuzzy Sets Artif Intell 3:107–130
21.
Rashmanlou H, Pal M (2013) Balanced interval-valued fuzzy graph. J Phys Sci 17:43–57MathSciNet
22.
Rashmanlou H, Jun YB, Borzooei RA (2014) More results on highly irregular bipolar fuzzy graphs, To appear in Ann Fuzzy Math Inform (accepted)
23.
Rashmanlou H, Pal M (2013) Isometry on interval-valued fuzzy graphs. Int J Fuzzy Math Arch 3:28–35
24.
Samanta S, Pal M, Pal A (2014) Some more results on fuzzy k-competition graphs. Int J Adv Res Artif Intell 3:60–67
25.
Samanta S, Pal A, Pal M (2013) Concept of fuzzy planar graphs. In: Proceedings of Science and Information Conference, 5–7 October, 2013, London, pp 557–563
26.
27.
Samanta S, Pal M (2011) Fuzzy tolerance graphs. Int J Latest Trends Math 1:57–67
28.
Samanta S, Pal M (2011) Fuzzy threshold graphs. CIIT Int J Fuzzy Syst 3:360–364
29.
Samanta S, Pal M (2012) Irregular bipolar fuzzy graphs. Int J Appl Fuzzy Sets 2:91–102
30.
Samanta S, Pal M (2012) Bipolar fuzzy hypergraphs. Int J Fuzzy Log Syst 2:17–28CrossRef
31.
Samanta S, Pal M (2014) Some more results on bipolar fuzzy sets and bipolar fuzzy intersection graphs. J Fuzzy Math 22(2):253–262
32.
Samanta S, Pal M (2014) A new approach to social networks based on fuzzy graphs. To appear in J Mass Commun Journal (to appear)
33.
34.
Samanta S, Pal M (2013) Telecommunication system based on fuzzy graphs. J Telecommun Sys Manag 3(1):1–6
35.
Pramanik T, Samanta S, Pal M (2014) Fuzzy \(\phi\)-tolerance competition graph (Submitted)
36.
Wang X, Wang Y, Xu X, Ling W, Daniel Y (2001) A new approach to fuzzy rule generation: fuzzy extension matrix. Fuzzy Sets Syst 123(3):291–306MathSciNetCrossRefMATH
37.
Xu W, Sun W, Liu Y, Zhang W (2013) Fuzzy rough set models over two universes. Int J Mach Learn Cybern 4:631–645CrossRef
38.
Metadata
Title
Interval-valued fuzzy planar graphs
Authors
Tarasankar Pramanik
Sovan Samanta
Madhumangal Pal
Publication date
01-08-2016
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 4/2016
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-014-0284-7

Other articles of this Issue 4/2016

International Journal of Machine Learning and Cybernetics 4/2016 Go to the issue

Original Article

On -intuitionistic fuzzy ideals of soft semigroups

Original Article

Exponential state estimation for Markovian jumping neural networks with mixed time-varying delays and discontinuous activation functions

Original Article

Certain types of fuzzy sets in a fuzzy graph

Original Article

Weighted Node Network Voronoi Diagram and its application to optimization of chain stores layout

Original Article

Optimal decision of multi-inconsistent information systems based on information fusion

Original Article

A bumble bees mating optimization algorithm for the feature selection problem