Deal with Linguistic Multi-Criteria Decision Making Problem Based on Sequential Multi-person Game Methodology

multiple criteria decision making MCDM problem handle the ranking order of alternatives with respect to various criteria in real environment. Uncertainties and vagueness should be considered because the qualitative criteria and the subjective judgment of decision-makers usually exist in the decision making process. It is reasonable for decision-makers to use linguistic variables to express their opinions. Game theory approach has been used as an efficient framework in copying with decision making problems. It can be applied extensively to solve the complex and interrelated practical decision problems. In fact, decision making approaches based on game theory have become an important research direction in decision science. The aim of this study is to develop an effective methodology for solving the game problem with linguistic variables by multiple decision makers. Based on the linguistic variable, the decision makers can easily express their opinions with respect to each criterion for each alternative. By using the backward induction method, we can find the rational solution of a game in accordance with the combination of strategies of players effectively. And then, a new decision making method, linguistic sequential multi-person multi-criteria game LSMPMCG model will be proposed for dealing with the fuzzy game problem in this study.