区间数在城市经济水平比较与旅游目标选择中的应用

发布时间：2018-03-29 10:13

本文选题：区间数　切入点：城市　出处：《沈阳师范大学》2017年硕士论文

【摘要】：随着社会经济的不断发展,城市经济水平比较与旅游路线选择越来越受到重视,它们都是当前的研究热点问题。已有不少学者从不同的视域和采用不同的方式对这两个问题进行过研究。城市经济水平比较与旅游路线选择分别属于多属性综合评估与多属性决策问题,且相关数据都具有一定的不确定性。人们通常使用随机或模糊分析方法描述不确定性问题,但无论是随机变量的分布函数,还是模糊数学的隶属函数往往都不易确定。有鉴于此,1931年Young开始引入与研究区间数,之后以Moore为代表的众多学者将其用于刻画与解决不确定性问题并开展了许多相关研究工作。本文试基于区间数方法进一步探讨城市经济水平比较与旅游路线选择这两个问题。全文分为五个部分。第一章介绍区间数的背景与意义,以及研究动态;综合评估与城市经济水平比较的背景与意义,以及研究动态;多属性决策与旅游目标选择的背景与意义,以及研究动态,并说明将要进行的工作与文章的结构。第二章讲述本文所用到的区间数的基础知识,例如,区间数,区间数列的标准欧氏距离、正理想区间、负理想区间、相对贴近度等概念;讲述区间数排序的背景、意义,与区间数的主要的排序,以及序列号排序方法的基础知识。第三章研究城市经济水平比较问题。首先建立一个能够表现城市经济水平比较问题的开放性数学模型(CELC);其次,基于理想区间数与区间数的相对贴近度概念,定义个性偏好权重与目标满意度,进而以算法的形式给出CELC的一种解答方法;基于序列号排序方法给出CELC的另一种解答方法;最后根据辽宁省统计年鉴所记载的数据构造实例,并解答进一步说明所给出的方法与验证方法的有效性。第四章研究旅游目标选择问题。首先,模仿CELC建立一个能够表现旅游目标选择问题的开放性数学模型(MANT),并且说明MANT与CELC的区别;其次,在第三章的解法的基础上,分别以算法的形式给出MANT的两种解答方法,并以构造与实例解答进一步说明所给出的方法与验证方法的有效性。第五部分为结尾部分,全面总结本文的工作,指出所存在的问题并提出需要进一步研究的问题。
[Abstract]:With the development of social economy, more and more attention has been paid to the comparison of urban economic level and the choice of tourism route. Many scholars have studied these two problems from different perspectives and in different ways. The comparison of urban economic level and the choice of tourism route belong to multi-attribute synthesis respectively. Evaluation and multi-attribute decision making problems, People usually use random or fuzzy analysis method to describe uncertainty problem, but whether it is the distribution function of random variables, Or fuzzy mathematics membership functions are often difficult to determine. In view of this, Young began to introduce and study interval numbers in 1931. After that, many scholars, represented by Moore, used it to describe and solve the uncertainty problem and carried out a lot of related research work. This paper tries to further discuss the comparison of urban economic level and the choice of tourism route based on interval number method. The first chapter introduces the background and significance of interval number. And the research trends, the background and significance of comprehensive evaluation and the comparison of urban economic level, the background and significance of multi-attribute decision-making and tourism target selection, as well as the research trends. The second chapter describes the basic knowledge of interval number, such as interval number, standard Euclidean distance of interval sequence, positive ideal interval, negative ideal interval, relative closeness and so on. The background, significance, and the main ordering of interval numbers, The third chapter studies the comparison of urban economic level. Firstly, an open mathematical model is established to show the comparison of urban economic level. Based on the concept of relative closeness between ideal interval number and interval number, the weight of personality preference and goal satisfaction are defined, and then a solution method of CELC is given in the form of algorithm, and another solution method of CELC is given based on sequence number ranking method. Finally, according to the statistical yearbook of Liaoning Province recorded in the data construction examples, and answers to further explain the effectiveness of the proposed method and validation. Chapter four studies tourism target selection. First, This paper builds an open mathematical model which can express the problem of tourism target selection by imitating CELC, and explains the difference between MANT and CELC. Secondly, on the basis of the solution in Chapter 3, two solutions of MANT are given in the form of algorithm. The last part is the conclusion of this paper, pointing out the existing problems and the problems that need to be further studied.
【学位授予单位】：沈阳师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：F299.27;F592.7

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