Certain indices of graphs under bipolar fuzzy environment with applications

被引：68
作者：
Poulik, Soumitra [1 ]
Ghorai, Ganesh [1 ]
机构：
[1] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore 721102, India
来源：
SOFT COMPUTING | 2020年 / 24卷 / 07期
关键词：
Connectivity index of a BFG; Boundedness of connectivity index of a BFG; Average connectivity index of a BFG; Women's football league; Decision making; ARCS;
D O I：
10.1007/s00500-019-04265-z
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Connectivity index of graph plays a significant role in chemistry, pharmacology, etc. This paper brings in connectivity index of a bipolar fuzzy graph (BFG) with its boundedness. We examine the changes of connectivity index for a BFG when a vertex or an edge is removed. Some theorems related to these are established. The parameter, average connectivity index of a BFG, is introduced with some theorems. Some special types of nodes like bipolar fuzzy connectivity-enhancing node, bipolar fuzzy connectivity-reducing node, bipolar fuzzy connectivity-neutral node with their properties are introduced. Keeping in mind bipolar judgemental thinking, two applications of these thoughts are bestowed to increase the popularity of women football league in India and another is to determine the order of the places to build colleges in a town.
引用
收藏
页码：5119 / 5131
页数：13
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