Research On Group Decision Making Based On The Generalized Models Of Soft Sets

Group decision making is among the most important activities that usually occurs in our daily life, which is increasingly being recognized. Fuzzy soft set and intuitionistic fuzzy soft set are important mathematical tools for dealing with uncertainty. The paper studies the group decisin making problems based on fuzzy soft set and intuitionistic fuzzy soft set with unknown experts'weights. The specific work is as follows:In fuzzy soft set, the paper first presents an algorithm to fuzzy soft set based decision making using distance between fuzzy soft sets. Then considering the uncertainty of the infor-mation provided by the individual expert, we introduce knowledge measure of fuzzy soft set. And considering the difference between the information provided by the experts, we define the difference degree based on ? - similarity relation. Based on the proposed knowledge measure and difference degree, we present an approach to determine the experts'weights. Finally, we propose an algorithm to fuzzy soft set based group decision making. An example is provided to demonstrate the effectiveness and rationality of the proposed algorithm.In intuitionistic fuzzy soft set, the paper first proposes an algorithm to fuzzy soft set based decision making using distance between intuitionistic fuzzy soft sets. Then considering the uncertainty of the individual expert's opinion and the consensus degree between the individual expert's opinion and the group opinion, we provide an approach to determine the experts' weights. Finally, we propose an algorithm to intuitionistic fuzzy soft set based group decision making.