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中文摘要：
与传统预测模型相比,GM（1,1）有准确度高、计算工作量小、所需样本数量较少等优越性,因而在很多领域得到广泛应用。缩小城乡差距是全面建成小康社会的重要环节和必要保证。近年来平顶山市城乡居民收入差距不断扩大。通过定性和统计分析相结合对平顶山市城乡居民收入差距进行历史和现状分析,并且立足灰色模型GM（1,1）进行建模、验证和实证预测,以期为缩小平顶山市城乡差距、促进当地城乡和谐发展提供参考。
英文摘要：
Compared with traditional prediction models,GM（1,1） has the advantages of high accuracy,low calculation workload as well as small sample sizes,so it has been widely used in many fields.Narrowing the gap between urban and rural areas is an important part and the necessary guarantee for building a well-off society in an all-round way.The income gap between urban and rural residents in Pingdingshan gradually expanded in recent years.By combining qualitative with statistic analysis,the history and present situation of the income gap between urban and rural residents in Pingdingshan city were analyzed,and then the modeling,verification and empirical prediction were accomplished based on GM（1,1）,in order to provide a reference for narrowing the gap between urban-rural areas and promoting the harmonious development of urban and rural areas of Pingdingshan city.
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