×

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.

MSC:

91B06 Decision theory
93A13 Hierarchical systems
PDFBibTeX XMLCite
Full Text: DOI

References:

[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), McGraw-Hill: McGraw-Hill New York · 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 (1995)), 101-110
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.