A new approach for determining fuzzy chromatic number of fuzzy graph

Rosyida, Isnaini; Widodo, Widodo; Indrati, Ch. Rini; Sugeng, Kiki Ariyanti

doi:10.3233/ifs-141521

Cited by 26 publications

(16 citation statements)

References 10 publications

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“…Secondly, we determine the phase scheduling using FCN algorithm and calculate duration of green lights using Mamdani-FIS function in Matlab. The concept and algorithm of FCN were given in the main article [16 , 17] . Basic terminologies used in the algorithm are presented in the appendix.…”

Section: Methods Detailsmentioning

confidence: 99%

Matlab algorithms for traffic light assignment using fuzzy graph, fuzzy chromatic number, and fuzzy inference system

et al. 2020

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Section: Methods Detailsmentioning

confidence: 99%

Matlab algorithms for traffic light assignment using fuzzy graph, fuzzy chromatic number, and fuzzy inference system

et al. 2020

Self Cite

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“…Vertex colouring on fuzzy graphs is applied for map colouring Samanta et al (2016b). Recently, major developments on chromatic index on fuzzy graphs are obtained from the papers of Rosyida et al (2016Rosyida et al ( , 2015 and Chen et al (2017). Sunitha (2014, 2016) introduced chromaticity and strong chromaticity of fuzzy graphs.…”

Section: Introductionmentioning

confidence: 99%

Applications of Edge Colouring of Fuzzy Graphs

Mahapatra¹,

Samanta²,

Pal³

2020

Informatica

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Colouring of graphs is being used in several representations of real world systems like map colouring, traffic signalling, etc. This study introduces the edge colouring of fuzzy graphs. The chromatic index and the strong chromatic index are defined and related properties are investigated. In addition, job oriented web sites, traffic light problems have been presented and solved using the edge colouring of fuzzy graphs more effectively.

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“…Mũnoz et al (2005) modeled and solved two different fuzzy graph coloring problems by generalizing the classical concept of the (crisp) chromatic number of a graph. Finally Rosyida et al (2015) proposed an algorithm to find fuzzy chromatic set of fuzzy graphs. In their method, the fuzzy chromatic set of a fuzzy graph is constructed through its -chromatic number.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy fractional coloring of fuzzy graph with its application

Mahapatra

Ghorai

Pal

2020

J Ambient Intell Human Comput

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In this article, a new idea of fuzzy fractional coloring of fuzzy graph is presented and fuzzy fractional chromatic number is defined. A relationship between fuzzy fractional chromatic number and fuzzy fractional clique number is established. Some properties of fuzzy chromatic number of fuzzy graphs and fuzzy fractional chromatic number of fuzzy graphs are proved and the concept of k-strong adjacent vertices is introduced. Fuzzy chromatic number and fuzzy fractional chromatic number have been calculated on lexicographic product of two fuzzy graphs. Also, fuzzy chromatic number, independence number and fuzzy fractional chromatic number have been investigated on disjoint union of two fuzzy graphs. Lastly, a real life application of fuzzy fractional coloring on fuzzy graph is discussed.

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A new approach for determining fuzzy chromatic number of fuzzy graph

Cited by 26 publications

References 10 publications

Matlab algorithms for traffic light assignment using fuzzy graph, fuzzy chromatic number, and fuzzy inference system

Matlab algorithms for traffic light assignment using fuzzy graph, fuzzy chromatic number, and fuzzy inference system

Applications of Edge Colouring of Fuzzy Graphs

Fuzzy fractional coloring of fuzzy graph with its application

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