In this paper, the Multiple Attribute Group Decision Making (MAGDM) problems is based on the attribute weights calculated from completely unknown information using the Maximal Entropy OWA weights. The interval-valued intuitionistic fuzzy ordered weighted averaging (IIFOWA) operator is utilized to aggregate all individual interval-valued intuitionistic fuzzy decision matrices provided by the dec...

In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but  some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...

O R IG IN A L A R T IC L E Ursula Rohr Sgarbieri

‎in this paper‎, ‎we prove the nonexistence of two weighing matrices of‎ ‎weight 81‎, ‎namely $cw(88,81)$ and $cw(99,81)$‎. ‎we will apply two‎ ‎very different methods to do so; for the case of $cw(88,81)$‎, ‎we‎  ‎will use almost purely counting methods‎, ‎while for $cw(99,81)$‎, ‎we‎ ‎will use algebraic methods‎.

We propose a novel regional preference model (RPM) where the framing of the decision problem affects the salience of a product through the region in which it lies, and the product’s salience affects the agent’s evaluation of it. RPM accounts for diverse sets of evidence that are anomalous from the traditional rational perspective. Our general framework encompasses the loss aversion model of Tve...

This paper considers variable reordering for quantum multiplevalued decision diagrams (QMDDs) used to represent the matrices describing reversible/quantum gates and circuits. An efficient method for adjacent variable interchange is presented and this method is employed to implement a vertex reduction procedure for QMDDs using sifting. Experimental results are presented showing the effectiveness...

A matrix method for fuzzy systems (FITM) is used to perform inferences in fuzzy decision trees (FDT). The method is applied once the tree is designed and built. Using transition matrices the output calculation is faster and some undesired weighted effects of the FDT can be avoided.

Abstract. AHP is a multi-criteria decision method widely used by non-experts. We have been implementing an Intelligent Tutoring System teaching the underlying theory, in particular the construction of consistent or near consistent AHP matrices, and the calculation of priorities and consistency indexes. AHP Tutor’s architecture supports adaptable exercises and dynamic explanations of solution pa...

Many constraint satisfaction problems (such as scheduling, assignment, and configuration) can be modelled as constraint programs based on matrices of decision variables. In such matrix models, symmetry is an important feature. We study and generalise symmetry-breaking techniques, such as lexicographic ordering, and propose a labelling technique achieving the same effect.

Analyzing the consistency of preferences is an important step in decision making with pairwise comparison matrices, and several indices have been proposed in order to estimate it. In this paper we prove the proportionality between some consistency indices in the framework of the Analytic Hierarchy Process. Knowing such equivalences eliminates redundancy in the consideration of evidence for cons...