本文選題：區(qū)間數(shù)　切入點(diǎn)：城市　出處：《沈陽師范大學(xué)》2017年碩士論文

【摘要】：隨著社會(huì)經(jīng)濟(jì)的不斷發(fā)展,城市經(jīng)濟(jì)水平比較與旅游路線選擇越來越受到重視,它們都是當(dāng)前的研究熱點(diǎn)問題。已有不少學(xué)者從不同的視域和采用不同的方式對(duì)這兩個(gè)問題進(jìn)行過研究。城市經(jīng)濟(jì)水平比較與旅游路線選擇分別屬于多屬性綜合評(píng)估與多屬性決策問題,且相關(guān)數(shù)據(jù)都具有一定的不確定性。人們通常使用隨機(jī)或模糊分析方法描述不確定性問題,但無論是隨機(jī)變量的分布函數(shù),還是模糊數(shù)學(xué)的隸屬函數(shù)往往都不易確定。有鑒于此,1931年Young開始引入與研究區(qū)間數(shù),之后以Moore為代表的眾多學(xué)者將其用于刻畫與解決不確定性問題并開展了許多相關(guān)研究工作。本文試基于區(qū)間數(shù)方法進(jìn)一步探討城市經(jīng)濟(jì)水平比較與旅游路線選擇這兩個(gè)問題。全文分為五個(gè)部分。第一章介紹區(qū)間數(shù)的背景與意義,以及研究動(dòng)態(tài);綜合評(píng)估與城市經(jīng)濟(jì)水平比較的背景與意義,以及研究動(dòng)態(tài);多屬性決策與旅游目標(biāo)選擇的背景與意義,以及研究動(dòng)態(tài),并說明將要進(jìn)行的工作與文章的結(jié)構(gòu)。第二章講述本文所用到的區(qū)間數(shù)的基礎(chǔ)知識(shí),例如,區(qū)間數(shù),區(qū)間數(shù)列的標(biāo)準(zhǔn)歐氏距離、正理想?yún)^(qū)間、負(fù)理想?yún)^(qū)間、相對(duì)貼近度等概念;講述區(qū)間數(shù)排序的背景、意義,與區(qū)間數(shù)的主要的排序,以及序列號(hào)排序方法的基礎(chǔ)知識(shí)。第三章研究城市經(jīng)濟(jì)水平比較問題。首先建立一個(gè)能夠表現(xiàn)城市經(jīng)濟(jì)水平比較問題的開放性數(shù)學(xué)模型(CELC);其次,基于理想?yún)^(qū)間數(shù)與區(qū)間數(shù)的相對(duì)貼近度概念,定義個(gè)性偏好權(quán)重與目標(biāo)滿意度,進(jìn)而以算法的形式給出CELC的一種解答方法;基于序列號(hào)排序方法給出CELC的另一種解答方法;最后根據(jù)遼寧省統(tǒng)計(jì)年鑒所記載的數(shù)據(jù)構(gòu)造實(shí)例,并解答進(jìn)一步說明所給出的方法與驗(yàn)證方法的有效性。第四章研究旅游目標(biāo)選擇問題。首先,模仿CELC建立一個(gè)能夠表現(xiàn)旅游目標(biāo)選擇問題的開放性數(shù)學(xué)模型(MANT),并且說明MANT與CELC的區(qū)別;其次,在第三章的解法的基礎(chǔ)上,分別以算法的形式給出MANT的兩種解答方法,并以構(gòu)造與實(shí)例解答進(jìn)一步說明所給出的方法與驗(yàn)證方法的有效性。第五部分為結(jié)尾部分,全面總結(jié)本文的工作,指出所存在的問題并提出需要進(jìn)一步研究的問題。
[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.
【學(xué)位授予單位】：沈陽師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：F299.27;F592.7

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本文編號(hào)：1680676