data envelope analysis (dea) is an approach to estimate the relative efficiency of decision making units (dmus). several studies were conducted in order to prioritize efficient units and some useful models such as cross-efficiency matrix (cem) were presented.  besides, a number of dea models with interval data have been developed and ranking dmus with such data was solved. however, presenting a...

data envelopment analysis (dea) is a technique for measuring the efficiency of decision making units. in all models of the dea, for each unit under assessment, the numerical efficiency is obtained which may be less than or equal to one. given the possible large number of functional units, we use various ranking methods for evaluating units. one of the rating methods is balance index and topsis....

The role of non-Archimedean  in the DEA models has been clarified, so that the associatedlinear programs can be infeasible (for the multiplier side) and unbounded (for theenvelopment side) with an unsuitable choice of  . This paper shows that the overallassurance interval for  in DEA models is unique by the concept of extreme directions. Also,it presents an assurance value for  using only s...

analyzing the efficiency of agricultural productions plays an important role in raising their productions and performances without spending extra cost. in this studythis study evaluated were the interval evaluated e fficiency and no efficiency of interval for greenhouseof greenhouse cucumber producers somefor some subsectors of sistan region. this research was donethe study conducted on the bas...

In this paper we present the theoretical base for some modifications in interval multiplication algorithms. A diversity of proposed implementation approaches is summarized along with a discussion on their costefficiency. It is shown that some improvements can be achieved by utilizing some properties of interval multiplication formulae and no special hardware support. Both conventional and exten...

This paper studies how to conduct efficiency assessment using data envelopment analysis (DEA) in interval and/or fuzzy input–output environments. A new pair of interval DEA models is constructed on the basis of interval arithmetic, which differs from the existing DEA models handling interval data in that the former is a linear CCR model without the need of extra variable alternations and uses a...

Interval routing is a space-efficient routing method for computer networks. The method is said to be optimal if it can generate optimal routing paths for any source-destination node pair. A path is optimal if it is a shortest path between the two nodes involved. A seminal result (The Computer Journal, 34 (1991), 475–476) in the area, however, has pointed out that “the interval routing algorithm...