Soft Rough Graphs
R. Noor, I. Irshad, I. Javaid
TL;DR
This paper introduces soft rough graphs, combining soft set and rough set theories, and explores their properties, including induced graphs, trees, and product operations, to handle uncertainties in graph structures.
Contribution
It presents the novel concepts of soft rough graphs, vertex and edge induced soft rough graphs, and soft rough trees, expanding the application of soft and rough set theories to graph theory.
Findings
Defined soft rough graphs and related structures
Introduced product operations for soft rough graphs
Provided examples illustrating the concepts
Abstract
Soft set theory and rough set theory are mathematical tools to deal with uncertainties. In [3], authors combined these concepts and introduced soft rough sets. In this paper, we introduce the concepts of soft rough graphs, vertex and edge induced soft rough graphs and soft rough trees. We define some products with examples in soft rough graphs.
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Taxonomy
TopicsRough Sets and Fuzzy Logic