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dc.creatorWang, Yunfeng
dc.descriptionA Thesis Submitted in Partial fulfillment of the Requirements for Degree of MASTER OF SCIENCE in The Graduate Mathematics Program in Applied and Computational Mathematics Option from Texas A&M University-Corpus Christi in Corpus Christi, Texas.
dc.descriptionOne method of ranking items is to score all of them against a standard scale. Sometimes it is difficult to create or use such a scale. As an alternative, it is possible to make side-by-side comparisons of some or all of the pairs of items. Then the problem is to convert the collective pairwise comparisons into a ranking. This problem has been studied previously in many contexts. This thesis addresses several methods, including where fuzzy comparisons are made for some, but not all, of the pairs. The Colley method and PageRank algorithm both use pairwise comparisons for some pairs to rank all items in a set. This thesis shows how those pairwise comparisons can be fuzzy. It also shows how Saaty's method for ranking alternatives can be completed when not all comparisons are used.
dc.descriptionMathematics and Statistics
dc.descriptionCollege of Science and Engineering
dc.rightsThis material is made available for use in research, teaching, and private study, pursuant to U.S. Copyright law. The user assumes full responsibility for any use of the materials, including but not limited to, infringement of copyright and publication rights of reproduced materials. Any materials used should be fully credited with its source. All rights are reserved and retained regardless of current or future development or laws that may apply to fair use standards. Permission for publication of this material, in part or in full, must be secured with the author and/or publisher.
dc.subjectFuzzy Ranking
dc.subjectPairwise Comparison
dc.subjectIncomplete Matrix
dc.titleFuzzy ranking from fuzzy pairwise comparisons with applications

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