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This study examines the notion of inconsistency in pairwise comparisons for providing an axiomatization for it. It also proposes two inconsistency indicators for pairwise comparisons. The primary motivation for the inconsistency reduction is expressed by a computer industry concept " garbage in, garbage out ". The quality of the output depends on the(More)
Let µ denote a symmetric probability measure on [−1, 1] and let (p n) be the corresponding orthogonal polynomials normalized such that p n (1) = 1. We prove that the normalized Turán determinant ∆ n (x)/(1 − x 2), where ∆ n = p 2 n − p n−1 p n+1 , is a Turán determinant of order n − 1 for orthogonal polynomials with respect to (1 − x 2)dµ(x). We use this to(More)