Abstract
Multi-attribute emergency decision-making problems have the characteristics of incomplete information and shortage of response time. Evidence theory can effectively express uncertain information in the decision-making process. However, evidence theory requires that the condition of evidence independence is met, and the evaluation information of experts is often vague. Therefore, an emergency decision-making method based on intuitionistic fuzzy sets and evidence theory is proposed. First, each expert gives an intuitionistic fuzzy evaluation of each emergency plan. Secondly, the proposed intuitionistic fuzzy similarity calculation method is used to obtain the similarity between experts and determine the expert weight. The attribute weight is known, the intuitionistic fuzzy evaluation is converted into a Mass function, and the evaluation of expert's decision-making plan is revised and fused using evidence theory to obtain the final decision. Finally, an example analysis proves that the model is feasible and effective.
Highlights
In recent years, there have been frequent emergencies in the international community, which have caused serious harm to economic and social development and the stability of social life
For the problem of multi-attribute emergency decisionmaking with unknown and uncertain weights, this paper proposes an emergency decision-making method based on multi-attribute intuitionistic fuzzy and evidence theory
Emergency decision-making problems generally have the characteristics of incomplete information, urgency of development, and comprehensive evaluation of complex attributes
Summary
There have been frequent emergencies in the international community, which have caused serious harm to economic and social development and the stability of social life. To solve the problem of incomplete information, fusion of multi-attribute decision-making is the current research focus in the field of emergency decision-making. The trust function and likelihood function in the evidence theory can be used to describe the upper and lower bounds of the trust degree of a certain proposition This has a one-to-one correspondence with the membership function in the intuitionistic fuzzy set and the remaining part except the non-membership function. The intuitionistic fuzzy set [5] can well express the expert’s hesitation to the decisionmaking subject It uses the degree of membership and nonmembership to express the three states of support, opposition, and hesitation of the decision maker’s objective things, and more accurately describes the objective things. For the problem of multi-attribute emergency decisionmaking with unknown and uncertain weights, this paper proposes an emergency decision-making method based on multi-attribute intuitionistic fuzzy and evidence theory
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