Understanding bipartite soft semigraph structures

Abstract

Soft set theory functions as a flexible mathematical instrument designed to handle uncertain data by aiding in the categorization of universe elements according to predefined parameters. Unlike hypergraphs, semigraphs present a wider interpretation of conventional graphs, allowing for a finer representation of relationships. Through the integration of soft set principles, the notion of soft semigraphs arises, enhancing the adaptability and versatility of semigraphs in addressing uncertainty. This paper sets out to reveal different forms of bipartite soft semigraphs, meticulously examining their varied structures and delving into their inherent characteristics.