Continuous pairwise comparisons

Thomas Saaty
Joseph M. Katz Graduate School of Business
University of Pittsburgh
United States

Publication date: May, 2016

Journal: Fundamenta Informaticae
Vol.: 14- Issue: 3-4- Pages: 213-221

Abstract: One often assumes that comparisons are discrete and carried out in a matrix of numbers. However, our eyes and other senses perform comparisons in a continuous way by making many simultaneously. Here the mathematics of pairwise comparisons is generalized to the continuous case. It is more likely that in evolution, little creatures had and now still have a “feeling” about the environment in which they find themselves by sensing many things at once. Through evolution, sensing has been transformed to thinking and to discrete comparisons. This paper presents some material from other works written about continuous comparisons.

Keywords: pairwise comparison, Continuous comparisons, Systems of equations, Fredholm’s equation, Eigenvector, Eigenfunction