Novel applications of bipolar fuzzy graphs to decision making problems

被引：32

作者：

Akram, Muhammad ^{[1
]}

Waseem, Neha ^{[1
]}

机构：

[1] Univ Punjab, Dept Math, New Campus, Lahore, Pakistan

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2018年 / 56卷 / 1-2期

关键词：

Equitable domination (ED); k-domination; Restrained domination (RD) and global restrained domination (GRD); Decision making problem; DOMINATION;

D O I：

10.1007/s12190-016-1062-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Zhang introduced the concept of bipolar fuzzy sets as a generalization of fuzzy sets. Bipolar fuzzy sets have shown advantages in solving decision making problems than fuzzy sets. In this research paper, we study several different types of domination, including equitable domination, k-domination and restrained domination in bipolar fuzzy graphs. We present novel applications of bipolar fuzzy graphs to decision making problems. We also present an algorithm for computing dominating number in our applications.

引用

页码：73 / 91

页数：19

共 34 条

[1]

Akram M., 2013, ITALIAN J PURE APPL, V31, P425, DOI [10.48550/arXiv.1401.0823, DOI 10.48550/ARXIV.1401.0823]

[2]

Akram M, 2016, J MULT-VALUED LOG S, V27, P531

[3] Bipolar fuzzy graphs with applications [J].

Akram, Muhammad .

KNOWLEDGE-BASED SYSTEMS, 2013, 39 :1-8

[4] Regular bipolar fuzzy graphs [J].

Akram, Muhammad ;

Dudek, Wieslaw A. .

NEURAL COMPUTING & APPLICATIONS, 2012, 21 :S197-S205

[5] Bipolar fuzzy graphs [J].

Akram, Muhammad .

INFORMATION SCIENCES, 2011, 181 (24) :5548-5564

[6]

[Anonymous], 2007, ADV FUZZY SETS SYSTE

[7]

[Anonymous], 1975, FUZZY SETTHEIR APP

[8]

Bharathi P., 2014, INT J FUZZY MATH SYS, V4, P121

[9] SOME REMARKS ON FUZZY GRAPHS [J].

BHATTACHARYA, P .

PATTERN RECOGNITION LETTERS, 1987, 6 (05) :297-302

[10] m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets [J].

Chen, Juanjuan ;

Li, Shenggang ;

Ma, Shengquan ;

Wang, Xueping .

SCIENTIFIC WORLD JOURNAL, 2014,

← 1 2 3 4 →