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Artificial Intelligence Review

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03-11-2020

Certain competition graphs based on picture fuzzy environment with applications

Authors: Sankar Das, Ganesh Ghorai, Madhumangal Pal

Published in: Artificial Intelligence Review | Issue 4/2021

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Abstract

In this paper, the notion of picture fuzzy competition graph along with its few generalizations such as m-step picture fuzzy competition graphs, picture fuzzy economic competition graphs and picture fuzzy competition hypergraphs are introduced. Some related picture fuzzy graphs including picture fuzzy m-step neighborhood graph, picture fuzzy m-step economic competition graph and picture fuzzy k-competition hypergraphs are introduced. Some properties of these graphs have been investigated. Finally, applications of m-step picture fuzzy competition graphs and picture fuzzy competition hypergraphs are presented in several fields such as in education system, ecosystem, business market and job competition.

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Achary BD, Vartak MN (1973) Open neighbourhood graphs. Research Report 07, IIT Bombay

Al-Shehrie NO, Akram M (2015) Bipolar fuzzy competition graphs. Ars Comb 121:385–402MathSciNetMATH

Akram M, Nasir M (2017) Certain competition graphs based on intuitionistic neutrosophic environment. Information 8:132. https://doi.org/10.3390/info8040132CrossRef

Akram M, Sarwar M (2018) New applications of m-polar fuzzy competition graphs. New Math Nat Comput 14(2):249–276MathSciNetCrossRef

Al-Hawary T, Mahamood T, Jan N, Ullah K, Hussain A (2018) On intuitionistic fuzzy graphs and some operations on picture fuzzy graphs. Ital J Pure Appl Math (in press)

Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96CrossRef

Berge C (1973) Graphs and hypergraphs, vol 7. North-Holland Publishing Company, AmsterdamMATH

Brigham RC, McMorris FR, Vitray RP (1995) Tolerance competition graphs. Linear Algebra Appl 217:41–52MathSciNetCrossRef

Borzooei RA, Rashmanlou H, Samanta S, Pal M (2016) New concepts of vague competition graphs. J Intell Fuzzy Syst 31(1):69–75CrossRef

Cuong BC (2014) Picture fuzzy sets. J Comput Sci Cybern 30(4):409–420

Cuong BC, Hai PV (2015) Some fuzzy logic operators for picture fuzzy sets. In: Proceedings of seventh international conference on knowledge and systems engineering, pp 132–137

Cohen JE (1968) Interval graphs and food webs: a finding and a problems, Document 17696-PR. RAND Corporation, Santamonica

Cho HH, Kim SR, Nim Y (2000) The \(m\)-step competition graph of a digraph. Discrete Appl Math 105(1–3):115–127MathSciNetCrossRef

Chen SM (1997) Interval-valued fuzzy hypergraph and fuzzy partition. IEEE Trans Syst Man Cybern 27(4):725–733CrossRef

Das K, Samanta S, De K (2020) Generalized neutrosophic competition graphs. Neutrosophic Sets Syst 31:156–171

Das S, Ghorai G (2020a) Analysis of road map design based on multigraph with picture fuzzy information. Int J Appl Comput Math 6(3):57MathSciNetCrossRef

Das S, Ghorai G (2020b) Analysis of the effect of medicines over bacteria based on competition graphs with picture fuzzy environment. Comput Appl Math 39(3):1–21MathSciNetCrossRef

Habib A, Akram M, Farooq A (2019) \(q\)-rung orthopair fuzzy competition graphs with application in the soil ecosystem. Mathematics 7(1):91. https://doi.org/10.3390/math7010091MathSciNetCrossRef

Jenson JB, Gutin GZ (2009) Digraphs: theory, algorithms and applications. Springer, BerlinCrossRef

Kim SR, Mckee T, McMorris FR, Roberts FS (1995) \(p\)-competition graphs. Linear Algebra Appl 217:167–178MathSciNetCrossRef

Kauffman A (1973) Introduction a la theorie des sousemsembles flous, vol 1. Masson et cie editeurs, Paris

Kaufmann A (1975) Introductionla Thorie des Sous-Ensembles Flous Lusagedes Ingnieurs (Fuzzy Sets Theory). Masson, Paris

Lee-Kwang H, Lee KM (1995) Fuzzy hypergraph and fuzzy partition. IEEE Trans Syst Man Cybern 25(1):196–201MathSciNetCrossRef

Mohamedlsmayil A, AshaBosely N (2019) Domination in picture fuzzy graphs. Am Int J Res Sci Technol Eng Math, pp 205–210, 5th ICOMAC, Feb 20–21

Nasir M, Siddique S, Akram M (2017) Novel properties of intuitionistic fuzzy competition graphs. J Uncertain Syst 11(1):49–67

Parvathi R, Thilagavathi S, Karunambigai MG (2009) Intuitionistic fuzzy hypergraphs. Cybern Inf Technol 9(2):46–54MathSciNet

Pramanik T, Samanta S, Sarkar B, Pal M (2016a) Fuzzy \(\phi\)-tolerance competition graphs. Soft Comput. https://doi.org/10.1007/s00500-015-2026-sCrossRefMATH

Pramanik T, Samanta S, Pal M, Mondal S, Sarkar B (2016b) Interval-valued fuzzy \(\phi\)-tolerance competition graphs. Springer Plus 5(1):1–19. https://doi.org/10.1186/s40064-016-3463-zCrossRef

Poulik S, Ghorai G (2018) Detour \(g\)-interior nodes and detour \(g\)-boundary nodes in bipolar fuzzy graph with applications. Hacettepe J Math Stat 49(1):106–119MathSciNet

Poulik S, Ghorai G (2020a) Certain indices of graphs under bipolar fuzzy environment with applications. Soft Comput 24(7):5119–5131CrossRef

Poulik S, Ghorai G (2020b) Note on ”bipolar fuzzy graphs with applications”. Knowl-Based Syst 192:1–5CrossRef

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

Samanta S, Pal M (2012) Bipolar fuzzy hypergraphs. Int J Fuzzy Log Syst 2(1):17–28CrossRef

Samanta S, Sarkar B (2018) Representation of competitions by generalized fuzzy graphs. Int J Comput Intell Syst 11(1):1005–1015CrossRef

Samanta S, Pal M (2013) Fuzzy \(k\)-competition graphs and \(p\)-competition fuzzy graphs. Fuzzy Inf Eng 5(2):191–204MathSciNetCrossRef

Samanta S, Pal M, Pal A (2014) Some more results on fuzzy \(k\)-competition graphs. Int J Adv Res Artif Intell 3(1):60–67MATH

Samanta S, Akram M, Pal M (2015) \(m\)-Step fuzzy competition graphs. J Appl Math Comput 47(1–2):461–472MathSciNetCrossRef

Sahoo S, Pal M (2015) Intuitionistic fuzzy competition graphs. J Appl Math Comput 52(1):37–57MathSciNetMATH

Sarwar M, Akram M (2017) Novel concepts of bipolar fuzzy competition graphs. J Appl Math Comput 54(1–2):511–547MathSciNetCrossRef

Sarwar M, Akram M, Alshehri NO (2018a) A new method to decision-making with fuzzy competition hypergraphs. Symmetry 10(9):404. https://doi.org/10.3390/sym10090404CrossRefMATH

Sarwar M, Akram M, Zafar F (2018b) Decision making approach based on competition graphs and extended TOPSIS method under bipolar fuzzy environment. Math Comput Appl 23(4):68MathSciNet

Sonnatag M, Teichert HM (2004) Competition hypergraphs. Discrete Appl Math 143(1–3):324–329MathSciNetCrossRef

Shannon A, Atanassov KT (1994) A first step to a theory of the intuitionistic fuzzy graphs. In: Proceeding of FUBEST, pp 59–61

Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353CrossRef

Title: Certain competition graphs based on picture fuzzy environment with applications
Authors: Sankar Das
Ganesh Ghorai
Madhumangal Pal
Publication date: 03-11-2020
Publisher: Springer Netherlands
Published in: Artificial Intelligence Review / Issue 4/2021
Print ISSN: 0269-2821
Electronic ISSN: 1573-7462
DOI: https://doi.org/10.1007/s10462-020-09923-5

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