Multi-attribute Decision Making Based On The Uncertainty Study

Multiple attribute decision making (also be named as multiple objects decision making for limited projects) is an important branch of modern decision science. Its theory and method are widely applied to a good many areas, such as economics, management, engineering, military affairs, and so forth. In the fundamental research aspect, the multi-attribute decision-making since its birth have been always the research topics which the academic circle pays attention.In recent years,The uncertainty multi-attribute decision-makings have aroused academic circle' widespread interest. Because the decision-maker frequently must face the complex thing and the uncertain environment, or because of their fuzzy thought, the decision-maker frequently cannot or difficult to produce a crisp number of the decision information, but often easy to produce the upper limit and lower limit of the decision information, that is to say, easy to produce the decision information in the form of interval numbers. Therefore, the research on the uncertainty multi-attribute decision-making has important theoretic significance and higher practical application value.A few MADM (multiple attribute decision making)methods are studied in this paper, and the major work lies in the following parts:1. Multi-criteria Decision-Making Based on Interval-Value Vague Sets. Interval valued (i-v) fuzzy sets and vague sets are two new theories representing inexact knowledge. They have been widely applied to describe the uncertain data in decision systems.In this paper, the notions and properties of i-v vague sets are first introduced based on vague sets. Then, the score functions of real number vague sets group are extended to i-v vague sets and a new score function is given. Finally,using an example to compare all kinds of score functions with the new ones.2. A Ranking Approach based on Set-pair-analysis in Uncertain Multiple Attribute Decision Making Problems. A set-pair-analysis-based method is proposed for multiple attribute decision making problems with uncertain interval numbers. By introducing a decision model, the multiple attribute decision making problems in which both the attribute weight and the elements of decision matrix are interval numbers are transformed into synthetic appraisal values(in the form of interval numbers)of alternatives. Than the interval evaluations are transformed into connection numbers. And two ranking criteria are presented. Finally, an example is given to illustrate the proposed method.3. Multi-attribute decision making method based on interval grey numbers. Based on the gray system theory, the multi-attribute decision making problem is discuss-ed, in which both the attribute values and the attribute weights are interval gray numbers. By introducing the. integrated incidence degree method together with some relational concepts based on ideal and critical projects, a linear programming model which also considered the attribute weights is presented, which extends the classical gray incidence decision-making to the case of interval gray numbers. Finally, an example shows the rationality of gray incidence decision-making and the validity of the arithmetic mentioned above.