期刊
FUZZY OPTIMIZATION AND DECISION MAKING
卷 9, 期 4, 页码 435-453出版社
SPRINGER
DOI: 10.1007/s10700-010-9086-x
关键词
2-order additive fuzzy measure; Interaction index; Diamond pairwise comparison; Choquet integral; Entropy of fuzzy measure; Multicriteria decision making
资金
- National Natural Science Foundation of China [70471063, 70771010]
- Humanities and Social science Foundation for young scholars of the Education Department of Hebei Province, PR China
Fuzzy measures can flexibly describe the relative importance of decision criterion as well as their interactions in multicriteria decision making. Based on the diamond pairwise comparison, a new identification method of 2-order additive fuzzy measure is proposed. The relative weight and the interaction degree can be obtained simultaneously for every pair of criteria in the diamond pairwise comparison. The Choquet integral-based equivalent alternative curve can help the decision maker estimate the interaction degrees between criteria. The overall importance of each criterion is obtained by the maximum eigenvector method of AHP. According to the maximum fuzzy measure entropy principal, a nonlinear programming is constructed to identify the interaction indices among criteria. Finally, an illustrative example shows the feasibility and validity of the proposed identification method.
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