×

Interactive weight assessment in multiple attribute decision making. (English) Zbl 0569.90051

A weight assessing method is given for solving a multiple attribute decision problem involving one decision maker. The method provides significant freedom to the decision maker who is asked only to specify certain groups of attributes and the corresponding joint weights. The method then provides a sophisticated interaction between various levels of the attributes involved. Furthermore, if the decision maker wishes to give additional information of the above-mentioned kind, he establishes an interaction on the level of the solution process. This can compensate for the inherent limitations of any method based on scalar utility functions by allowing a certain intransitivity and incomparability of preferences, which are natural in multiple attribute situations.

MSC:

90B50 Management decision making, including multiple objectives
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Hwang, Ching-Lai; Yoon, Kwangsun, Multiple Attribute Decision Making, Methods and Applications, A State-of-the Art Survey, (Lecture Notes in Economics and Mathematical Systems, Vol. 186 (1981), Springer: Springer New York) · Zbl 0453.90002
[2] Saaty, T. L., A scaling method for priorities in hierarchical structures, Journal of Mathematical Psychology, 15, 234-281 (1977) · Zbl 0372.62084
[3] Saaty, T. L., Ratio measurement multiobjective complexity in systems, (paper presented at the Fifth International Conference on Multiple Criteria Decision Making. paper presented at the Fifth International Conference on Multiple Criteria Decision Making, Mons, Belgium (August 1982)) · Zbl 0459.93006
[4] Rosinger, E. E., Interactive algorithm for multiobjective optimization, Journal of Optimization Theory and Applications, 35, 339-365 (1981) · Zbl 0445.90081
[5] Wallenius, H., Optimizing macroeconomic policy: A review of approaches and applications, European Journal of Operational Research, 10, 221-228 (1982)
[6] Gruber, J., Introduction: Towards observed preferences in econometric decision models, (Gruber, J., Econometric Decision Models. Econometric Decision Models, Springer Lecture Notes in Economics and Mathematical Systems, Vol. 208 (1983)), 1-9
[7] Streuff, H.; Gruber, J., The interactive multiobjective optimization method by E.E. Rosinger: A computer program and aspects of applications, (Gruber, J., Econometric Decision Models. Econometric Decision Models, Springer Lecture Notes in Economics and Mathematical Systems, Vol. 208 (1983)), 334-364
[8] Frank, M.; Wolfe, P., An algorithm for quadratic programming, Naval Research Logistics Quarterly, 3, 95-110 (1956)
[9] Wolfe, P., The simplex method for quadratic programming, Econometrica, 27, 382-398 (1959) · Zbl 0103.37603
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.