Interval Multi-attribute Decision Making Methods Based On Aggregation Operators

Multi-attribute decision making (MADM) is an important branch of modern decision sciences. Its theory and method are widely applied to many areas, such as economics, management, engineering, military affairs, and so forth. In actual decision making, the input arguments take the form of interval numbers because of complexity and uncertainty of object, lack of knowledge and people's limited expertise related with problem domain. The paper mainly studies interval multi-attribute decision making methods based on aggregation operators. It consists of three chapters.In the first chapter, we mainly introduce the origin and current research situations of interval numbers information aggregation operators and interval multi-attribute decision making problems. Then we list the main achievements of this paper.In the second chapter, we investigate interval multi-attribute decision making methods based on prioritized aggregation operators. First, we propose prioritized uncertain ordered weighted averaging (PUOWA) operator, prioritized ordered weighted C-OWA (POWC-OWA) operator and prioritized ordered weighted C-OWG (POWC-OWG) operator, and study some of their characteristics. Then we apply these operators in multi-attribute decision making problems in which the attribute weights are completely unknown and the attribute values are interval numbers. We develop two approaches for solving interval multi-attribute decision making problems, in which there exists a prioritization relationship between the attributes. Finally, several illustrative examples are given to demonstrate the feasibility and practicability of the proposed methods.In the third chapter, we investigate interval multi-attribute decision making methods based on extended Bonferroni mean operators. First, we propose in-terval Bonferroni mean (IBM) operator. Bonferroni uncertain ordered weighted averaging (BON-UOWA) operator, and weighted BON-UOWA (WBON-UOWA) operator, and discuss some of their characteristics. Based on WBON-UOWA operator, we develop an approach for solving uncertain multi-attribute decision making problems. An illustrative example is given to illustrate the proposed approach.