Abstract
AbstractThis 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.
Highlights
To solve complicated problems in economics, engineering, environmental science and social science, methods in classical mathematics are not always successful because of the existence of various types of uncertainties
A novel approach to fuzzy soft sets in decision making based on grey relational analysis and MYCIN certainty factor
We introduce a new approach to fuzzy soft sets in decision making based on grey relational analysis and MYCIN certainty factor
Summary
To solve complicated problems in economics, engineering, environmental science and social science, methods in classical mathematics are not always successful because of the existence of various types of uncertainties. Maji et al 35 first applied soft sets to solve decision making problems with the help of rough set approaches. Chen et al 5 defined the parameters reduction of soft sets and discussed its application of decision making problem. Feng et al 9 pointed out the limitation of Roy’s method and applied level soft sets to discuss fuzzy soft sets based on decision making. Decision makers are able to take full advantage of both methods’ merits to deal with uncertainty and risk confidently by combining both above theories It avoids the problem of selecting the suitable level soft sets to obtain choice values and score values, and reduces uncertainty caused by people’s subjective cognition so as to raise the choice decision level.
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