Doṣas by the Numbers

THE IDENTIFICATION OF EFFICIENCY BY USING FUZZY NUMBERS

In original Data Envelopment Analysis (DEA) models for measuring the relative efficiencies of a set of Decision Making Units (DMUs) using various inputs to produce various outputs are limited to crisp data. To deal with imprecise data, the notion of fuzziness has been introduced. this paper develops a procedure to measure the efficiencies of DMUs with fuzzy observations. The basic idea is to tr...

Extend a ranking method of trapezoidal fuzzy numbers to all fuzzy numbers by a weighting functions

Recently Abbasbandy and Hajjari (Computers and Mathematics with Applications57 (2009) 413-419) have introduced a ranking method for the trapezoidalfuzzy numbers. This paper extends theirs method to all fuzzy numbers,which uses from a defuzzication of fuzzy numbers and a general weightingfunction. Extended method is interesting for ranking all fuzzy numbers, and itcan be applied for solving and ...

Parents by the Numbers

Membranes by the Numbers

The Quantitative Membrane Landscape The pace at which biology is advancing is staggering. Just as there was a short 50 year gap between the invention of manned flight by the Wright Brothers and the beginning of the space age, in the little more than a half century since the discovery of the structure of DNA and its interpretation through the genetic code, the life sciences have entered their ow...

Nck by the numbers

A growing axon, a cancer cell on the move, and a virus spreading from cell to cell have at least one thing in common—they receive a boost from the Nck adaptor proteins that help control actin dynamics. Ditlev et al. reveal that the density and relative amounts of Nck proteins determine their effects on actin polymerization (1). By activating the N-WASp–Arp2/3 pathway, Nck proteins trigger actin...