Interval-valued fuzzy ϕ -tolerance competition graphs

Tarasankar Pramanik; Sovan Samanta; Madhumangal Pal; Sukumar Mondal; Biswajit Sarkar

doi:10.1186/s40064-016-3463-z

Interval-valued fuzzy ϕ -tolerance competition graphs

Tarasankar Pramanik, Sovan Samanta, Madhumangal Pal, Sukumar Mondal, Biswajit Sarkar

Department of Industrial Engineering

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

This paper develops an interval-valued fuzzy ϕ-tolerance competition graphs which is the extension of basic fuzzy graphs and ϕ is any real valued function. Interval-valued fuzzy ϕ-tolerance competition graph is constructed by taking all the fuzzy sets of a fuzzy ϕ-tolerance competition graph as interval-valued fuzzy sets. Product of two IVFPTCGs and relations between them are defined. Here, some hereditary properties of products of interval-valued fuzzy ϕ-tolerance competition graphs are represented. Application of interval-valued fuzzy competition graph in image matching is given to illustrate the model.

Original language	English
Article number	1981
Journal	SpringerPlus
Volume	5
Issue number	1
DOIs	https://doi.org/10.1186/s40064-016-3463-z
Publication status	Published - 2016 Dec 1

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Publisher Copyright:
© 2016, The Author(s).

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General

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N2 - This paper develops an interval-valued fuzzy ϕ-tolerance competition graphs which is the extension of basic fuzzy graphs and ϕ is any real valued function. Interval-valued fuzzy ϕ-tolerance competition graph is constructed by taking all the fuzzy sets of a fuzzy ϕ-tolerance competition graph as interval-valued fuzzy sets. Product of two IVFPTCGs and relations between them are defined. Here, some hereditary properties of products of interval-valued fuzzy ϕ-tolerance competition graphs are represented. Application of interval-valued fuzzy competition graph in image matching is given to illustrate the model.

AB - This paper develops an interval-valued fuzzy ϕ-tolerance competition graphs which is the extension of basic fuzzy graphs and ϕ is any real valued function. Interval-valued fuzzy ϕ-tolerance competition graph is constructed by taking all the fuzzy sets of a fuzzy ϕ-tolerance competition graph as interval-valued fuzzy sets. Product of two IVFPTCGs and relations between them are defined. Here, some hereditary properties of products of interval-valued fuzzy ϕ-tolerance competition graphs are represented. Application of interval-valued fuzzy competition graph in image matching is given to illustrate the model.

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Interval-valued fuzzy ϕ -tolerance competition graphs

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