Analytic hierarchy process (AHP) is a useful method in multi-criteria decision making problems. Crisp comparison matrices produce crisp weight estimates. It is logical for an interval or fuzzy comparison matrix to give an interval or fuzzy weight estimate. In this paper, a new method is proposed to generate interval weight estimate from an interval comparison matrix, which can be either consist...

in the linear system ax = b the points x are sometimes constrained to lie in a given subspace s of column space of a. drazin inverse for any singular or nonsingular matrix, exist and is unique. in this paper, the singular consistent or inconsistent constrained linear systems are introduced and the effect of drazin inverse in solving such systems is investigated. constrained linear system arise ...

We attempt a justification of a generalisation of the consistent histories programme using a notion of probability that is valid for all complete sets of history propositions. This consists of introducing Cox’s axioms of probability theory and showing that our candidate notion of probability obeys them. We also give a generalisation of Bayes’ theorem and comment upon how Bayesianism should be u...