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Articles

On m-Polar Interval-valued Fuzzy Graph and its Application

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Pages 71-96 | Received 19 Sep 2019, Accepted 15 Jun 2020, Published online: 08 Feb 2021

References

  • Kaufmann A. (1973). Introduction a la Theorie des Sous-emsembles Flous, Masson et cie, Vol.1.
  • Zadeh LA. Fuzzy sets. Inf Control. 1965;8:338–353.
  • Rosenfield A. Fuzzy graphs, Fuzzy sets and their application (L.A. Zadeh, K.S. Fu,M. Shimura,Eds.): 77–95. New York: Academic press; 1975.
  • Bhutani KR. On automorphism of fuzzy graphs. Pattern Recognit Lett. 1989;9(3):159–162.
  • Zhang WR. Bipolar fuzzy sets and relations: A computational framework for cognitive modeling and multiagent decision analysis. NAFIPS/IFIS/NASA '94. Proceedings of the First International Joint Conference of The North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intellige; 1994 Dec 18–21; San Antonio, TX, USA. IEEE. p. 305–309.
  • Zhang WR. Bipolar fuzzy sets. IEEE Int Conf Fuzzy Syst. 1998;1:835–840.
  • Mordeson JN, Peng CS. Operations on fuzzy graphs. Inf Sci (Ny). 1994;79:159–170.
  • Mordeson JN, Nair PS. Cycles and co-cycles of fuzzy graphs. Inf Sci (Ny). 1996;90:39–49.
  • Mordeson JN, Nair PS. Fuzzy graphs and fuzzy hypergraphs. Berlin: Springer; 2000.
  • Hongmei J, Lianhua W. Interval-valued fuzzy subsemigroups and subgroups associated by intervalvalued suzzy graphs. WRI Glob Congr Intell Syst. 2009;1: 484–487.
  • Akram M, Dudek WA. Interval-valued fuzzy graphs. Comput Math Appl. 2011;61:289–299.
  • Hawary TAL. Complete fuzzy graphs. Int J Math, Combin. 2011;4: 426–434.
  • Nagoorgani A, Malarvizhi J. Isomorphism on fuzzy graphs. World Acad Sci Eng Technol. 2008;23:505–511.
  • Nagoorgani A, Malarvizhi J. Isomorphism properties on strong fuzzy graphs. Int J Algorithms Comput and Math. 2009;2(1):39–47.
  • Chen J, Li S, Ma S, et al. m-polar fuzzy sets: an extension of bipolar fuzzy sets, Hindwai Publishing Corporation. Scientific World J. 2014; 2014:Article Id: 416530. doi: 10.1155/2014/416530
  • Samanta S, Pal M. Fuzzy tolerance graph. Int J Latest Trends Mat. 2011;1(2):57–67.
  • Samanta S, Pal M. Fuzzy threshold graph. CIIT Int J Fuzzy Syst. 2011;3(12):360–364.
  • Samanta S, Pal M. Fuzzy -competition graph. Fuzzy Inf Eng. 2013;5(2):191–204.
  • Samanta S, Pal M, Pal A. New concepts of fuzzy planar graph. Int J Adv Res Artif Intell. 2014;3(1):52–59.
  • Talebi AA, Rashmanlou H. Isomorphism on interval valued fuzzy graphs. Ann Fuzzy Math Inform. 2013;6(1):47–58.
  • Ghorai G, Pal M. Some properties of m-polar fuzzy graphs. Pac Sci Rev A: Nat Sci Eng. 2016;18(1):38–46.
  • Ghorai G, Pal M. Some isomorphic properties of m-polar fuzzy graphs with applications. SpringerPlus. 2016;5(1):2104.
  • Saha A, Pal M, Pal TK. Selection of programme slots of television channels for giving advertisement: A graph theoretic approach. Inf Sci (Ny). 2007;177(12):2480–2492.
  • Akram M. Bipolar fuzzy graphs. Inf Sci (Ny). 2011;181(24):5548–5564.
  • Akram M. Bipolar fuzzy graphs with applications. Knowl Based Syst. 2013;39:1–8.
  • Ghorai G, Pal M. Regular product vague graphs and product vague line graphs. Cogent Math. 2016;3(1):1–13.
  • Ghorai G, Pal M. A note on “regular bipolar fuzzy graphs,”. Neural Comput Appl. 2016;21(1):197–205.
  • Ghorai G, Pal M. On degrees of m-polar fuzzy graphs. J Uncertain Syst. 2017;11(4):294–305.
  • Ghorai G, Pal M. Applications of bipolar fuzzy sets in interval graphs. TWMS J Appl Eng Math. 2018;8(2):411–424.
  • Jabbar NA, Naoom JH, Ouda EH. Fuzzy dual graphs. J Al-Nahrain Univ. 2009;12(4):168–171.
  • Sahoo S, Pal M. Intuitionistic fuzzy competition graphs. J Appl Math Comput. 2016;52(1-2):37–57.
  • Ghorai G, Pal M. A study on m-polar fuzzy planar graphs. Int J Comput Sci Math. 2016;7(3):283–292.
  • Gorzalczany MB. A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets System. 1987;21:1–17.
  • Mishra S, Pal A. Product of interval-valued intuitionistic fuzzy graph. Annu Pure Math. 2013;5:37–46.
  • Mishra S, Pal A. Regular interval-valued intuitionistic fuzzy graph. J Inf Math Sci. 2017;9:609–621.
  • Pramanik T, Samanta S, Pal M. Interval valued fuzzy planar graphs. Int J Mach Learn Cybern. 2016;7:653–664.
  • Rashmanlou H, Pal M. Balanced interval-valued fuzzy graphs. J Phys Sci. 2013;17:43–57.
  • Rashmanlou H, Pal M. Isometry on interval-valued fuzzy graphs. arXiv Prepr ArXiv. 2014;1405:6003.
  • Bera S, Pal M. Certain types of m-polar interval-valued fuzzy graph. J Intell Fuzzy Syst. 2020. doi: 10.3233/JIFS-191587
  • Hassan N, Sayed OR, Khalil AM, et al. Fuzzy soft expert system in prediction of coronary artery disease. Int J Fuzzy Syst. 2017;19(5):1546–1559.
  • Khalil AM, Li SG, Li HX, et al. Possibility m-polar fuzzy soft sets and its application in decision-making problems. J Intell Fuzzy Syst. 2019;37(1):929–940.
  • Khalil AM, Li SG, Garg H, et al. New operations on interval-valued picture fuzzy set, interval-valued picture fuzzy soft set and their applications. IEEE Access. 2019;7:51236–51253.
  • Khalil AM, Hassan N. Inverse fuzzy soft set and its application in decision making. Int J Inf Deci Sci. 2019;11(1):73–92.
  • Khalil AM, Li SG, Lin Y, et al. A new expert system in prediction of lung cancer disease based on fuzzy soft sets. Soft comput. 2020. doi: 10.1007/s00500-020-04787-x