¹Law School of Central South University, Changsha, Hunan, China, Huaihua Intermediate People's Court, Huaihua, Hunan, China
²Information Technology Application Research Institute, Southwestern University Of Finance and Economics, Chengdu, Sichuan, China; School of Economic Information Engineering, Southwestern University Of Finance and Economics, Chengdu, Sichuan, China

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Abstract—The non-definite multi-attribute decision making problem is the further expansion of research to the traditional multi-attribute decision making problem. In the actual decision-making, because of policy-making question's complexity, decision-making information acquisition costs and other reasons, the decision information which the policy-maker can obtain are mostly ambiguous, so in the real life, many of decision-making problems are the nondefinite multi-attribute decision making problems. In the non-definite multi-attribute decision-making process, as decision-making information is non-definite, therefore the policy-maker, when carries on the decision-making, faced with the following difficult position: decision-makers making decision with the non-definite decision-making information most likely will regret. This article will conduct the research to this question, in order to portray the decision-makers dilemma in the decision-making process under the uncertain condition; this paper defines the following concept: policy-makers plus regret degree, policymakers negative regret degree and policy-makers weighted combination regret degree. According to the different thresholds of policy-makers plus regret degree, policymakers negative regret degree and policy-makers weighted combination regret degree, respectively determine the best plan and construct the optimal decision results table, policymakers according to their preference situation can query this table and select the most excellent plan suited to their own situation.

Index Terms—Multi-attribute Decision Making, Plus Regret Degree, Negative Regret Degree, Weighted Combined Regret Degree, Regret Degree Threshold.

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Cite: Peng Weibing, Zhou Qihai, Li Yan, "Research on the Multi-attribute Decision Making Model Based on the Possible Regret Degree of the Policy-maker," Journal of Computers vol. 7, no. 7, pp. 1623-1630, 2012.