An Algorithm for Group Decision Making Problems via Soft Set Relations

Decision-making is a critical process in various fields, often complicated by uncertainty and incomplete information. Soft set theory, introduced as a mathematical tool to handle such uncertainties, offers a flexible and efficient framework for addressing these challenges. The purpose of this study is developing a method by using graph representation of soft set relation for group decision making problems with several examples as application. The algorithm integrates key soft set relations, allowing for the systematic evaluation of alternatives against multiple criteria. Through a some of examples and case studies, effectiveness of the algorithm in decision-making applications is examined. Results show that the soft set-based approach provides a more adaptable and precise method for decision-making compared to traditional techniques, making it a valuable tool for complex decision environments.