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Certain competition graphs based on picture fuzzy environment with applications

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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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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721 102, India

    Sankar Das, Ganesh Ghorai & Madhumangal Pal

  2. Department of Mathematics, Kharagpur College, Kharagpur, 721 305, India

    Sankar Das

Authors
  1. Sankar Das
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  2. Ganesh Ghorai
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  3. Madhumangal Pal
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Correspondence to Ganesh Ghorai.

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Das, S., Ghorai, G. & Pal, M. Certain competition graphs based on picture fuzzy environment with applications. Artif Intell Rev 54, 3141–3171 (2021). https://doi.org/10.1007/s10462-020-09923-5

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