Evaluating pairwise comparisons breaks down complex decision problems into tractable ones. Pairwise comparison matrices (PCMs) are regularly used to solve multiple-criteria decision-making (MCDM) problems using Saaty’s analytic hierarchy process (AHP) framework. There are two significant drawbacks of using PCMs. First, humans evaluate PCM in an inconsistent manner. Second, PCMs of large problem...

occurred recency principle and recency proving   saber khalilnejad kiasari [1]   abstract: this article is to investigate one of the practical principles of methodology and jurisprudence as well as occurred recency principle. this principle is at work to clarify many issues concerned with the priority and recency of two carrying judicial and legal effects. here, through explaining the purpose o...

Abstract We investigate computability theoretic and descriptive set contents of various kinds analytic choice principles by performing a detailed analysis the Medvedev lattice $\Sigma ^1_1$ -closed sets. Among others, we solve an open problem on Weihrauch degree parallelization -choice principle integers. Harrington’s unpublished result jump hierarchy along pseudo-well-ordering plays key role i...

This paper considers the relational versions of the surjective, partial surjective, and multifunction weak pigeonhole principles for PV , Σ1, Π b 1, and B(Σ b 1)-formulas as well as relativizations of these formulas to higher levels of the bounded arithmetic hierarchy. We show that the partial surjective weak pigeonhole principle for Π1 formulas implies that for each k there is a string of leng...

We present a variational theory of integrable differential-difference equations (semi-discrete systems). This is natural extension the ideas known by names "Lagrangian multiforms" and "Pluri-Lagrangian systems", which have previously been established in both fully discrete continuous cases. The main feature these to capture hierarchy commuting single principle. Our example illustrate new semi-d...