A Fractional Programming Method for Interval-valued Intuitionistic Fuzzy Multi-attribute Decision Making

摘要：

In decision making problems, the increasing complexity of the world and the fuzziness of human thinking make it difficult to express a decision maker’s preference information over alternatives and attributes with crisp data. As such, the interval-valued intuitionistic fuzzy sets (IVIFS) have become convenient and suitable to deal with the vagueness. This article investigates the multi-attribute decision making (MADM) problem under the IVIFS environment, where both the attribute weights and the assessments of alternatives with respect to attributes are given by the decision maker in terms of interval-valued intuitionistic fuzzy numbers. Several fractional programming models are derived from TOPSIS to determine the fuzzy relative closeness intervals of alternatives, and the corresponding decision-making method has also been developed. Feasibility and effectiveness of the proposed method are illustrated with an investment decision problem.

关键词： Multiattribute Decision Making (MADM) Interval-valued Intuitionistic Fuzzy Numbers (IVIFNs) Fractional Programming TOPSIS

作者: Zhoujing Wang Jianhui Xu

作者单位: School of Computer Science and Engineering, Beihang University, Beijing 100083, China Department of Department of Automation, Xiamen University, Xiamen, Fujian, 361005, China

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 636-641

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）