Fuzzy ranking from fuzzy pairwise comparisons with applications
Abstract
One 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.
Description
A 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.