Entropy and FAHP based fuzzy comprehensive evaluation model of water resources sustaining utilization

Evaluating water resources sustaining utilization system is a kernel technique in regional sustainable development comprehensive analysis and evaluation,its difficulty is how to resolve the uncertain problems such as subjectiveness,fuzziness and randomness existed in the evaluation process.For this purpose,on the basis of meta-synthesis methodology,an improved fuzzy analytic hierarchy process(FAHP) based on genetic algorithm is presented to determine the evaluation index weights,the ideal interval method and the relative membership degree theory are used to describe the fuzziness of evaluated samples belonged to evaluation standard intervals,the principle of maximum entropy is used to deal with the randomness,and then entropy and FAHP based fuzzy comprehensive evaluation new model of water resources sustaining utilization(EFAHP-FCEM) is established by means of integrating the above-mentioned methods.The model parameters of EFAHP-FCEM are optimized by using accelerating genetic algorithm.The result of EFAHP-FCEM successfully applied to evaluating water resources sustainable utilization of Hanzhong basin in Shanxi province of China shows that EFAHP-FCEM is directly driven by fuzzy complementary judgement matrix of evaluation indexes and the data series produced from evaluation of water resources sustaining utilization,that sustaining utilization relative grades computed by using all membership degrees information are regarded as evaluation results,which can avoid distorting by using maximum membership degree principle and can heighten evaluation precision,and as a nonparametric evaluation method with distinct concept of mathematics and physics,EFAHP-FCEM is visual,handy and universal,so EFAHP-FCEM can widely be applied to different regional resource and environment comprehensive evaluation.