Fuzzy fractional coloring of fuzzy graph with its application

In this paper, the notion of energy extended to spherical fuzzy graph. The adjacency matrix of a spherical fuzzy graph is defined and we compute the energy of a spherical fuzzy graph as the sum of absolute values of eigenvalues of the adjacency matrix of the spherical fuzzy graph. Also, the lower and upper bounds for the energy of spherical fuzzy graphs are obtained.

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DIFFERENT VIEW ON COMPLETE TRIPARTITE FUZZY GRAPH IN SHIFT BASED

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.3.87 ◽

2020 ◽

Vol 9 (3) ◽

pp. 1407-1413

Author(s):

S. Sathish ◽

D. Vidhya

Keyword(s):

Fuzzy Graph

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Triple Connected Domination Number of a Bipolar Fuzzy Graph

International Journal for Research in Applied Science and Engineering Technology ◽

10.22214/ijraset.2017.8001 ◽

2017 ◽

Vol V (VIII) ◽

pp. 1-5

Author(s):

R. Jahir Hussain

Keyword(s):

Domination Number ◽

Fuzzy Graph ◽

Connected Domination Number

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On Laplacian energy of picture fuzzy graphs in site selection problem

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-202131 ◽

2021 ◽

pp. 1-18

Author(s):

Mahima Poonia ◽

Rakesh Kumar Bajaj

Keyword(s):

Decision Making ◽

Site Selection ◽

Upper Bounds ◽

Selection Problem ◽

Hydropower Plant ◽

Fuzzy Graph ◽

Fuzzy Information ◽

Fuzzy Graphs ◽

Laplacian Energy ◽

Selection For

In the present work, the adjacency matrix, the energy and the Laplacian energy for a picture fuzzy graph/directed graph have been introduced along with their lower and the upper bounds. Further, in the selection problem of decision making, a methodology for the ranking of the available alternatives has been presented by utilizing the picture fuzzy graph and its energy/Laplacian energy. For the shake of demonstrating the implementation of the introduced methodology, the task of site selection for the hydropower plant has been carried out as an application. The originality of the introduced approach, comparative remarks, advantageous features and limitations have also been studied in contrast with intuitionistic fuzzy and Pythagorean fuzzy information.

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