Abstract
”Subjective programming” means programming based on the subjective judgment of a single/multiple decision maker. This paper treats mainly from a theoretical viewpoint the subjective programming under the assumption that the decision maker’s preference is smooth and convex. First, several necessary and/or sufficient conditions for optimality in terms of the preference are presented along with the proof of their necessity and sufficiency. Next, the interactive relaxation method, called briefly IRM, for finding the optimal solution is suggested on the basis of the obtained results. Finally a certain result as to Pareto optimality in group decisions is derived.
The author was with the IBM Palo Alto Scientific Center as a post doctoral fellow when the III Conference on MCDM was held.
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Nakayama, H. (1980). Subjective Programming in Multi-Criterion Decision Making. In: Fandel, G., Gal, T. (eds) Multiple Criteria Decision Making Theory and Application. Lecture Notes in Economics and Mathematical Systems, vol 177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48782-8_19
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DOI: https://doi.org/10.1007/978-3-642-48782-8_19
Publisher Name: Springer, Berlin, Heidelberg
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