Journal of Japan Society for Fuzzy Theory and Systems
Online ISSN : 2432-9932
Print ISSN : 0915-647X
ISSN-L : 0915-647X
Satisfactional Method Introducing the Concept of a Fuzzy Goal into DEA
Yoshiki UEMURA
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1997 Volume 9 Issue 5 Pages 762-766

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Abstract

The evaluation of efficiency for DMU_s(Decision Making Units) in some company is very important. In this view point, the study of evaluation of efficiency is very active, on the basis of the formulation for the production function. Recently, DEA (Data Envelopment Analysis) is focused on the evaluation of efficiency. However, we often obtain DEA efficiency for DMU_o from the efficiency of one output. This means DEA analyzes one output by some inputs and ignores another outputs. Furthermore, DEA efficiency is bigger than the max efficiency among one object solutions for an individual output. From above-mentioned two problem in DEA, as we need to obtain the total efficiency analyzed from all outputs by all inputs, it is natural that the total efficiency exists between min efficiency and max efficiency among one object solutions for an individual output. In this view point, we try to introduce the concept of a Fuzzy Goal into DEA. But, the satisfactional efficiency is always the max efficiency, because the max efficiency is in the possibility solution area with satisfactional rate which is one. Therefore, as DEA efficiency is the linear weighted sum of individual efficiency for every output, we try to change DEA model to the multi-objective problem, and propose the satisfactional mehtod for DUM_o along the maximizing decision defined by Bellman and Zadeh, and propose the improvement method for the satisfactinal solution along the dialogue to DM by trad/off rate for two efficiencies which is developed by Sakawa.

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© 1997 Japan Society for Fuzzy Theory and Intelligent Informatics
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