"A Quadratic Programming Approach In Estimating
Similarity Relations"
IEEE Transactions on Fuzzy Systems,
1993, Vol. 1, No. 2, pp. 138-145.
Evangelos Triantaphyllou
Abstract:
This paper examines the problem of estimating how similar N
objects are when they are compared with each other. The proposed
approach uses as data comparative judgments of all possible pairs
of the N objects. Pairwise comparisons have long been used
with success in determining the relative importance of individual
members in a group of objects. In the proposed approach the
pairwise comparisons focus on the similarity relations instead of
the relative importance of each object. A quadratic programming
model is also proposed. This model processes the similarity based
pairwise comparisons and determines the similarity relations among
the N objects. The proposed quadratic programming model has linear
constraints and therefore it can be solved easily by transferring
it into a system of linear equations.
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