A novel approach to fuzzy soft sets in decision making based on grey relational analysis and MYCIN certainty factor

Abstract

This paper proposes a novel approach to decision making based on grey relational analysis and MYCIN certainty factor, which describes decision making problems with fuzzy soft sets. Firstly, we utilize grey relational analysis to obtain the grey mean relational degree, and the uncertain degree of various parameters is acquired. On the basis of uncertain degree, we obtain the essence uncertainty factor of each independent alternative with each parameter. Information can be fused in accordance with MYCIN certainty factor combination rule and the best alternatives are achieved. By using three examples, comparing with the mean potentiality approach and giving an application to medical diagnosis problems, the feasibility and effectiveness of the approach are demonstrated.

Keywords:

• Fuzzy soft set
• Decision making
• Grey relational analysis
• MYCIN certainty factor