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

20 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

Bibliographical note

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

All Science Journal Classification (ASJC) codes

General

Access to Document

10.1186/s40064-016-3463-z

Cite this

@article{0bc030a68c804dee8973fa872ed91cc5,

title = "Interval-valued fuzzy ϕ -tolerance competition graphs",

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.",

author = "Tarasankar Pramanik and Sovan Samanta and Madhumangal Pal and Sukumar Mondal and Biswajit Sarkar",

note = "Publisher Copyright: {\textcopyright} 2016, The Author(s).",

year = "2016",

month = dec,

day = "1",

doi = "10.1186/s40064-016-3463-z",

language = "English",

volume = "5",

journal = "SpringerPlus",

issn = "2193-1801",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "1",

}

TY - JOUR

T1 - Interval-valued fuzzy ϕ -tolerance competition graphs

AU - Pramanik, Tarasankar

AU - Samanta, Sovan

AU - Pal, Madhumangal

AU - Mondal, Sukumar

AU - Sarkar, Biswajit

PY - 2016/12/1

Y1 - 2016/12/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84995616628&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84995616628&partnerID=8YFLogxK

U2 - 10.1186/s40064-016-3463-z

DO - 10.1186/s40064-016-3463-z

M3 - Article

AN - SCOPUS:84995616628

VL - 5

JO - SpringerPlus

JF - SpringerPlus

SN - 2193-1801

IS - 1

M1 - 1981

ER -

Interval-valued fuzzy ϕ -tolerance competition graphs

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this