Difference Operations of Soft Matrices with Applications in Decision Making

Abstract

In this work, we give four new soft matrix operations called soft difference product, soft restricted difference product, soft extended difference product and soft weak-extended difference product and obtain their related properties. We then define soft max-row function, positive difference max-row soft matrix and negative difference max-row soft matrix. Using these, we construct novel efficient decision making method which determines both the optimal choice and the unlikely choice. We applied to the decision making problems based on benchmarking in order to show that our method performs well with uncertainties.