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论文类型：期刊论文

发表时间：2013-01-01

发表刊物：JOURNAL OF INTELLIGENT & FUZZY SYSTEMS

收录刊物：SCIE、EI、Scopus

卷号：24

期号：4

页面范围：755-763

ISSN号：1064-1246

关键字：Intuitionistic fuzzy set; multiattribute decision making; mathematical programming; uncertainty; fuzzy system

摘要：Interval-valued intuitionistic fuzzy (IVIF) sets are a useful tool to deal with fuzziness inherent in decision data and decision making process. The aim of this paper is to develop a methodology for solving multiattribute decision making (MADM) with both ratings of alternatives on attributes and weights being expressed with IVIF sets. In this methodology, a weighted Euclidean distance between IF sets is defined using weights of IF sets. A pair of nonlinear programming models is constructed based on the concept of the relative closeness coefficients and the distance defined. Two simpler auxiliary nonlinear programming models are further derived to calculate the relative closeness coefficient intervals of alternatives to the IVIF positive ideal solution, which can be used to generate ranking order of alternatives based on the concept of likelihood of interval numbers. The method proposed in this paper is illustrated with a real example.