Hybrid Soft Computing Models Applied to Graph Theory by Muhammad Akram & Fariha Zafar

Author:Muhammad Akram & Fariha Zafar
Language: eng
Format: epub
ISBN: 9783030160203
Publisher: Springer International Publishing

Definition 4.31

A fuzzy soft graph G is a fuzzy soft tree if each fuzzy graph has a fuzzy spanning subgraph which is a tree, where for all arcs xy not in ,

Example 4.23

Consider two nonempty sets and Let be a set of parameters. Let be a fuzzy soft set over V with its fuzzy approximate function given by

Let be a fuzzy soft set over E with its fuzzy approximate function given by

Thus, and are fuzzy graphs as shown in Fig. 4.17.

Fig. 4.17Fuzzy trees and

As has a spanning fuzzy subgraph which is a tree and the arc is not present in as shown in Fig. 4.18, satisfies the following inequality,

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