A New Fuzzy Set Approach to the Tolerance Analysis and Parameter Design Problems

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dc.contributor.advisor Yahya Fathi, Committee Co-Chair en_US
dc.contributor.advisor Robert E. Young, Committee Co-Chair en_US
dc.contributor.advisor Henry L. W. Nuttle, Committee Member en_US
dc.contributor.author Ding, Yi en_US
dc.date.accessioned 2010-04-02T18:01:16Z
dc.date.available 2010-04-02T18:01:16Z
dc.date.issued 2002-09-05 en_US
dc.identifier.other etd-06052002-235331 en_US
dc.identifier.uri http://www.lib.ncsu.edu/resolver/1840.16/1144
dc.description.abstract Tolerance is believed to be unavoidable and necessary in engineering design and manufacturing due to universal randomness. The Tolerance Analysis and Parameter Design problems are therefore critical to quality control in the modern engineering context. Both the tolerance analysis and the parameter design problem have been studied and explored over the past decades with success. However, most of them use probability theory and statistical methods, and there are drawbacks or restrictions to these approaches. We tackle down these problems from a new perspective using fuzzy set technology. We model the tolerance in the manufacturing process as fuzzy variables instead of using conventional random variables to represent the process uncertainty and imprecision. We develop and present a new approach to the tolerance analysis problem and also a new mathematical model to solve the parameter design problem in the fuzzy environment, respectively. Finally we present several case studies for both problems. Numerical results show that the new approach and model generate consistent and compatible results with conventional methods. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.subject Tolerance Analysis en_US
dc.subject Fuzzy set en_US
dc.subject Optimization en_US
dc.subject Parameter Design Problem en_US
dc.title A New Fuzzy Set Approach to the Tolerance Analysis and Parameter Design Problems en_US
dc.degree.name MS en_US
dc.degree.level thesis en_US
dc.degree.discipline Industrial Engineering en_US

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