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Interval Numbers And Triangle Fuzzy Number Of Multidimensional Scaling And Conjoint Analysis

Posted on:2014-11-21Degree:MasterType:Thesis
Country:ChinaCandidate:J H ZhangFull Text:PDF
GTID:2250330401487744Subject:Probability theory and mathematical statistics
Abstract/Summary:PDF Full Text Request
Since the nineteen sixties medium-term, people found that there are a lot of uncertain problems in many disciplines, to deal with these problems with mathematics method, the results is difference with the actual situation. The larger the fundamental reason lies in the error of measurement data, and incomplete information, the original data representation characteristic behavior is often not a exact number, but some interval number and fuzzy number.At present, the interval number and triangle fuzzy statistical analysis, whether in theoretical research or applied research in the aspects of the method, have caused great attention in academic circles, also achieved some good results, but because of the complexity of practical problems, there are still many challenging problems to be studied.In this paper, information are given through the form of interval number and triangle fuzzy numbers, first studied the interval number and triangle fuzzy number multidimensional scaling analysis and conjoint analysis. First under the guidance of multidimensional scaling analysis ideology, on the basis of the existing interval number and triangle fuzzy numbers distance and similarity, constructs the model of interval number and triangle fuzzy multidimensional scaling; Then use the method to analyzing the pressure index, Stress-K and RSQ values to illustrate the fitting effect was calculated by SPSS software, and through the space perception map to reveal the spatial relationships among objects in the instance; Finally extended the classical conjoint analysis to interval number and triangle fuzzy numbers, constructs the model of interval number and triangle fuzzy conjoint analysis, and give the interval number and triangle fuzzy number to a more reasonable, objective ranking method, the method is applied to the selection of optimum combination of products can be more convincing results.
Keywords/Search Tags:Interval Numbers, Triangle Fuzzy Numbers, Multidimensional Scaling, Conjoint Anal-ysis
PDF Full Text Request
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