G.GHORAI, M.PAL: APPLICATIONS OF BIPOLAR FUZZY SETS IN INTERVAL GRAPHS

被引:0
作者
Ghorai, G. [1 ]
Pal, M. [1 ]
机构
[1] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, India
来源
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2018年 / 8卷 / 02期
关键词
Bipolar fuzzy set; Normal and convex bipolar fuzzy set; Bipolar fuzzy interval; Bipolar fuzzy interval graph;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Currently, bipolar fuzzy graph is a growing research topic as it is the generalization of fuzzy graphs. In this paper, normal and convex bipolar fuzzy sets are defined and the notion of bipolar fuzzy interval is introduced as a generalization of fuzzy interval and described various methods of their construction. It is shown that intersection of two bipolar fuzzy intervals may not be a bipolar fuzzy interval. Finally, bipolar fuzzy interval graphs is introduced as the intersection graph of a finite family of bipolar fuzzy intervals. The relationship between the intersection graph of a {alpha, beta}-level family of bipolar fuzzy intervals and {alpha, beta}-cut of the intersection graph for that family have been established. It is proved that for every bipolar fuzzy interval graph G, the (alpha, beta)-cut level graph G(beta)(alpha )is an interval graph for each (alpha, beta) is an element of (0, 1] x [-1, 0). Also, some important hereditary properties of bipolar fuzzy interval graphs are presented.
引用
收藏
页码:411 / 424
页数:14
相关论文
共 35 条
[1]   Bipolar fuzzy graphs with applications [J].
Akram, Muhammad .
KNOWLEDGE-BASED SYSTEMS, 2013, 39 :1-8
[2]   Bipolar fuzzy graphs [J].
Akram, Muhammad .
INFORMATION SCIENCES, 2011, 181 (24) :5548-5564
[3]  
Bhutani KR, 2004, IRAN J FUZZY SYST, V1, P57
[4]   CHARACTERIZATIONS OF FUZZY INTERVAL-GRAPHS [J].
CRAINE, WL .
FUZZY SETS AND SYSTEMS, 1994, 68 (02) :181-193
[5]  
Davey B., 2002, INTRO LATTICES ORDER, V2, DOI DOI 10.1017/CBO9780511809088
[6]  
Ghorai Ganesh, 2015, Pacific Science Review A: Natural Science and Engineering, V17, P14, DOI 10.1016/j.psra.2015.12.001
[7]  
Ghorai G., 2017, INT J APPL COMPUTATI, V3, P605, DOI [10.1007/s40819-015-0112-0, DOI 10.1007/S40819-015-0112-0]
[8]  
Ghorai G., 2016, PAC SCI REV NAT SCI, V18, P38, DOI [10.1016/j.psra.2016.06.004, DOI 10.1016/J.PSRA.2016.06.004]
[9]   A note on "Regular bipolar fuzzy graphs" Neural Computing and Applications 21(1) (2012) 197-205 [J].
Ghorai, Ganesh ;
Pal, Madhumangal .
NEURAL COMPUTING & APPLICATIONS, 2018, 30 (05) :1569-1572
[10]   Some isomorphic properties of m-polar fuzzy graphs with applications [J].
Ghorai, Ganesh ;
Pal, Madhumangal .
SPRINGERPLUS, 2016, 5