title: Interval-valued fuzzy [Formula: see text]-tolerance competition graphs.
abstract: This paper develops an interval-valued fuzzy [Formula: see text]-tolerance competition graphs which is the extension of basic fuzzy graphs and [Formula: see text] is any real valued function. Interval-valued fuzzy [Formula: see text]-tolerance competition graph is constructed by taking all the fuzzy sets of a fuzzy [Formula: see text]-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 [Formula: see text]-tolerance competition graphs are represented. Application of interval-valued fuzzy competition graph in image matching is given to illustrate the model.
authors.affiliation: Department of Mathematics, Khanpur Gangche High School (H.S.), Khanpur, Pandua, India.
authors.forename: Tarasankar
authors.initials: T
authors.lastname: Pramanik
authors.affiliation: Department of Industrial and Management Engineering, Hanyang University, Ansan, Gyeonggi 15588 South Korea.
authors.forename: Sovan
authors.initials: S
authors.lastname: Samanta
authors.affiliation: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102 India.
authors.forename: Madhumangal
authors.initials: M
authors.lastname: Pal
authors.affiliation: Department of Mathematics, Raja N.L. Khan Women's College, Midnapore, 721102 India.
authors.forename: Sukumar
authors.initials: S
authors.lastname: Mondal
authors.affiliation: Department of Industrial and Management Engineering, Hanyang University, Ansan, Gyeonggi 15588 South Korea.
authors.forename: Biswajit
authors.initials: B
authors.lastname: Sarkar
keywords: Competition; Interval-valued fuzzy graphs; Tolerance