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Fuzzy \(\phi \)-tolerance competition graphs

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Abstract

In this paper, fuzzy \(\phi \)-tolerance competition graphs are defined. Several interesting properties are investigated. Here \(\phi \) is any real valued function. Particular cases of \(\phi \), viz. minimum, maximum and sum are considered. A daily life problem is modelled using fuzzy min-tolerance competition graph. Few properties are investigated for fuzzy tolerance graphs.

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Acknowledgments

The authors are highly thankful to the Editor in Chief, Associate Editor and referees for their suggestions to improve the presentation of the paper.

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Authors and Affiliations

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

    Tarasankar Pramanik & Madhumangal Pal

  2. Department of Industrial & Management Engineering, Hanyang University, Ansan Gyeonggi-do, 426 791, South Korea

    Biswajit Sarkar

  3. Department of Mathematics, Joykrishnapur High School (H.S.), Tamluk, 721649, India

    Sovan Samanta

Authors
  1. Tarasankar Pramanik
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  2. Sovan Samanta
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  3. Biswajit Sarkar
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  4. Madhumangal Pal
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Correspondence to Biswajit Sarkar.

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The authors declare that there is no conflict of interest.

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Communicated by V. Loia.

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Pramanik, T., Samanta, S., Sarkar, B. et al. Fuzzy \(\phi \)-tolerance competition graphs. Soft Comput 21, 3723–3734 (2017). https://doi.org/10.1007/s00500-015-2026-5

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