Fuzzy Rough Graph Theory with Applications

被引:18
作者
Akram, Muhammad [1 ]
Arshad, Maham [1 ]
Shumaiza [1 ]
机构
[1] Univ Punjab, Dept Math, New Campus, Lahore, Pakistan
关键词
Fuzzy rough relation; Fuzzy rough digraphs; Decision-making; SETS; OPERATIONS;
D O I
10.2991/ijcis.2018.25905184
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Fuzzy rough set theory is a hybrid method that deals with vagueness and uncertainty emphasized in decision-making In this research study, we apply the concept of fuzzy rough sets to graphs. We introduce the notion of fuzzy rough digraphs and describe some of their methods of construction. In particular, we consider applications of fuzzy rough digraphs. We also present algorithms to solve decision-making problems regarding selection of a city for treatment and identification of best location in a department to set mobile phone Jammer.
引用
收藏
页码:90 / 107
页数:18
相关论文
共 28 条
[1]   Representation of Uncertainty with Information and Probabilistic Information Granules [J].
Aggarwal, Manish .
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2017, 19 (05) :1617-1634
[2]  
Akram M, 2015, SCI WORLD J
[3]  
Akram M., 2018, J APPL MATH COMPUTIN
[4]  
Akram M, 2016, J MULT-VALUED LOG S, V27, P531
[5]   Roughness of a fuzzy set [J].
Banerjee, M ;
Pal, SK .
INFORMATION SCIENCES, 1996, 93 (3-4) :235-246
[6]   SOME REMARKS ON FUZZY GRAPHS [J].
BHATTACHARYA, P .
PATTERN RECOGNITION LETTERS, 1987, 6 (05) :297-302
[7]  
Corsini P., 2002, REND CIRC MAT PALERM, V51, P527, DOI [10.1007/BF02871859, DOI 10.1007/BF02871859]
[8]   ROUGH FUZZY-SETS AND FUZZY ROUGH SETS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1990, 17 (2-3) :191-209
[9]   Soft sets combined with fuzzy sets and rough sets: a tentative approach [J].
Feng, Feng ;
Li, Changxing ;
Davvaz, B. ;
Ali, M. Irfan .
SOFT COMPUTING, 2010, 14 (09) :899-911
[10]  
Kauffman A., 1973, MASSON CIE, V1