Stability analysis of grey compromise programming and its application to watershed land-use planning

Multiple conflicting objectives characterize the current water resources ma nagement systems. In particular, the conflict between environmental protect ion of reservoir water quality and economic development by different uses o f land within the reservoir watershed is a problem that receives wide atten tion in many developing countries. The optimal balance between carrying cap acity of watershed land-use and assimilative capacity of reservoir water qu ality remains unclear. However, the inherent uncertainties of both environm ental and economic goals and parameter values may result in additional diff iculties in public decision making. This paper presents a new methodology-t he grey compromise programming (GCP) method-in which the parameter uncertai nties in the optimization process are specifically considered as interval n umbers and the related stability theory is proved as well. The case study i s drawn from the optimal planning of land-use programme in the Tweng-Wen re servoir watershed in Taiwan.