Fuzzy Petri net Method for hesitant decision making

摘要

Experts are hesitant to give a decision in a fuzzy decision-making environment. In this study, a new method for group decision making based on hesitant fuzzy linguistic term sets using the pessimistic and optimistic attitudes of a decision maker was presented. First the proposed method aggregated the fuzzy sets in each hesitant fuzzy linguistic term set into a fuzzy set. The input features in the fuzzy Petri net model can be formulated as uncertain tokens to determine the confidence value. Then the method performed minimum and maximum operations among the obtained degrees for membership function to determine the derived value of the rule. The minimum and maximum operations denote the pessimistic and optimistic attitudes of the decision maker, respectively. At last, for each alternative, the centroid method was used to rank the priority of the obtained confidence values and derive the preference order of the alternatives for the decision maker with pessimistic and optimistic attitudes. The experiment results demonstrates the promissing application of the proposed method in group decision-making problems.