基于模糊层次分析法对影响农民画发展因素的研究——以喀什麦盖提为例

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英文篇名：Study on the Factors Influencing the Development of Peasants' Painting Based on Fuzzy Analytic Hierarchy Process 作者：王文涛 ; 王捷 ; 侯瑞环 英文作者：WANG Wen-tao;WANG Jie;HOU Rui-huan;Information Engineering of Tarim University;Economics and Management of Tarim University; 关键词：农民画 ; 指标体系 ; 模糊层次分析法 ; 置信度排序 英文关键词：peasant painting;;index system;;fuzzy analytic hierarchy process;;confidence sort 中文刊名：SSJS 英文刊名：Mathematics in Practice and Theory 机构：塔里木大学信息工程学院;塔里木大学经济与管理学院; 出版日期：2019-02-23 出版单位：数学的实践与认识 年：2019 期：v.49 基金：塔里木大学校长基金青年创新资金项目(TDZKQN201615) 语种：中文; 页：SSJS201904040 页数：9 CN：04 ISSN：11-2018/O1 分类号：298-306

摘要

根据模糊层次分析法的原理,把研究影响农民画的因素作为一个系统,按照分解、比较、判断再综合的方法进行最终决策.首先根据农民画自身性质和特点,通过调查收集并筛选汇总确定调查的指标,依据指标间的相互关系构建层次结构模型,在层次分析法的基础上,结合模糊集合理论,运用模糊层次分析法确定指标权重构造基于三角模糊数的互补判断矩阵,并运用置信度排序方法进行层次排序结果表明:收入情况对农民画发展的影响最重要,游客情况次之,农民画画家基本情况对农民画的影响最小,同时对各指标进行了重要性排序.
        Based on the principle of fuzzy analytic hierarchy process, this paper regards the factors that influence the peasant painting as a system, and makes final decisions according to the methods of decomposition, comparison, judgment and synthesis. According to the nature and characteristics of the peasant paintings, the survey collects and screens the indicators for the surveys, and builds a hierarchical structure model based on the interrelationships between the indicators. Based on the analytic hierarchy process,the fuzzy set theory and the fuzzy analytic hierarchy process are used to determine Index Weight. The complementary judgment matrix based on triangular fuzzy numbers is constructed, and the confidence ranking method is used to perform hierarchical ordering. The results show that the income situation has the most important influence on the development of the peasant paintings, followed by the tourists,the basic situation of the peasant painters has the least influence on the peasant paintings,and at the same time, the importance of the indicators is ranked.

引文

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