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Fuzzy multiple attributes and multiple hierarchical decision making. (English) Zbl 0867.90001
Summary: A procedure is proposed to solve the multiple attributes and multiple hierarchical system under fuzzy environment. The approach is based on: (1) fuzzy representation; (2) hierarchical performance evaluation structure, (3) gradient eigenvector method for rating the fuzzy criteria weighting, and (4) using the max-min paired elimination method for aggregation. To illustrate the approach, an example on the evaluation of teaching performance in higher education is solved.

91B06Decision theory
93A13Hierarchical systems
Full Text: DOI
[1] Saaty, T. L.: Exploring the interface between hierarchies multiple objectives and fuzzy sets. Fuzzy sets and systems 1, 57-68 (1978) · Zbl 0378.94001
[2] Saaty, T. L.: The analytic hierarchial process. (1980) · Zbl 0587.90002
[3] Saaty, T. L.: How to make a decision: the analytic hierarchy approach. European J. Of operation research 48, 9-26 (1990) · Zbl 0707.90002
[4] Xu, Ruoning; Zhai, Xiaoyan: Extensions of the analytic hierarchy process in fuzzy environment. Fuzzy sets and systems 52, 251-257 (1992)
[5] Dong, W. M.; Wong, F. S.: Fuzzy weighted average and implementation of the extension principle. Fuzzy sets and systems 21, 183-199 (1987) · Zbl 0611.65100
[6] Hon, Cheng-Chuang; Guh, Yuh-Yuan: Fuzzy weighted average--A MAX-MIN paired elimination method. Proceedings of the chinese I.E. National conference, 101-110 (1995)