Interval-valued fuzzy φ-tolerance competition graphs

被引:28
作者
Pramanik, Tarasankar [1 ]
Samanta, Sovan [2 ]
Pal, Madhumangal [3 ]
Mondal, Sukumar [4 ]
Sarkar, Biswajit [2 ]
机构
[1] Khanpur Gangche High Sch HS, Dept Math, Khanpur, Pandua, India
[2] Hanyang Univ, Dept Ind & Management Engn, Ansan 15588, Gyeonggi, South Korea
[3] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, India
[4] Raja NL Khan Womens Coll, Dept Math, Midnapore 721102, India
关键词
Competition; Tolerance; Interval-valued fuzzy graphs; ARCS;
D O I
10.1186/s40064-016-3463-z
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper develops an interval-valued fuzzy phi-tolerance competition graphs which is the extension of basic fuzzy graphs and phi is any real valued function. Interval-valued fuzzy phi-tolerance competition graph is constructed by taking all the fuzzy sets of a fuzzy phi-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 phi-tolerance competition graphs are represented. Application of interval-valued fuzzy competition graph in image matching is given to illustrate the model.
引用
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页数:19
相关论文
共 17 条
[1]   Interval-valued fuzzy graphs [J].
Akram, Muhammad ;
Dudek, Wieslaw A. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) :289-299
[2]   On M-strong fuzzy graphs [J].
Bhutani, KR ;
Battou, A .
INFORMATION SCIENCES, 2003, 155 (1-2) :103-109
[3]   Strong arcs in fuzzy-graphs [J].
Bhutani, KR ;
Rosenfeld, A .
INFORMATION SCIENCES, 2003, 152 :319-322
[4]   TOLERANCE COMPETITION GRAPHS [J].
BRIGHAM, RC ;
MCMORRIS, FR ;
VITRAY, RP .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 217 :41-52
[5]   m-Step competition graph of a digraph [J].
Cho, Han Hyuk ;
Kim, Suh-Ryung ;
Nam, Yunsun .
Discrete Applied Mathematics, 2000, 105 (01) :115-127
[6]  
Cohen J. E., 1968, Document 17696-PR
[7]  
Golumbic MC, 1982, P 13 SE C COMB GRAPH, P321
[8]  
Kauffman A., 1973, INTRO THEORIE SOUS E
[9]   P-COMPETITION GRAPHS [J].
KIM, SR ;
MCKEE, TA ;
MCMORRIS, FR ;
ROBERTS, FS .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 217 :167-178
[10]   FUZZY GRAPHS IN THE EVALUATION AND OPTIMIZATION OF NETWORKS [J].
KOCZY, LT .
FUZZY SETS AND SYSTEMS, 1992, 46 (03) :307-319