Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 7-Day Trial for You or Your Team.

Learn More →

A generalized fuzzy data envelopment analysis with restricted fuzzy sets and determined constraint condition1

A generalized fuzzy data envelopment analysis with restricted fuzzy sets and determined... The existing fuzzy data envelopment analysis (DEA) models for evaluating the relative efficiencies of a set of entities called decision making units (DMUs) converting multiple fuzzy inputs into multiple fuzzy outputs are limited to convex and normal fuzzy data, moreover, the constraint condition consists of the evaluated DMUs, and efficiency is evaluated through transforming the fuzzy DEA model into the crisp DEA model by applying an alternative α-cut technique. However, in many practical evaluation problems, the fuzzy data of inputs and outputs may be non-convex or abnormal, and the evaluated DMU may not be contrasted with the DMUs under evaluation, but with sample standards determined by production strategy. In such a case, the notion of restricted fuzzy set is proposed. The constraint condition is extended to a more general form, i.e., the constraint condition, in which the sample DMUs have similar behaviors, consists of one of sample standards determined by production strategy. The basic idea is to transform the fuzzy DEA model to the conventional DEA model by applying the formula of center of mass, and the relationship between the production frontier and fuzzy DEA efficiency is given. To reduce the computational load, an algorithm based on the golden section method is employed to locate the standard that the evaluated DMU best fits. Finally, a numerical example is provided to illustrate the proposed model. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Intelligent & Fuzzy Systems IOS Press

A generalized fuzzy data envelopment analysis with restricted fuzzy sets and determined constraint condition1

Download PDF
11 pages

Loading next page...
 
/lp/ios-press/a-generalized-fuzzy-data-envelopment-analysis-with-restricted-fuzzy-8oVOBhiMub

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
IOS Press
Copyright
Copyright © 2017 © 2017 – IOS Press and the authors. All rights reserved
ISSN
1064-1246
eISSN
1875-8967
DOI
10.3233/JIFS-17482
Publisher site
See Article on Publisher Site

Abstract

The existing fuzzy data envelopment analysis (DEA) models for evaluating the relative efficiencies of a set of entities called decision making units (DMUs) converting multiple fuzzy inputs into multiple fuzzy outputs are limited to convex and normal fuzzy data, moreover, the constraint condition consists of the evaluated DMUs, and efficiency is evaluated through transforming the fuzzy DEA model into the crisp DEA model by applying an alternative α-cut technique. However, in many practical evaluation problems, the fuzzy data of inputs and outputs may be non-convex or abnormal, and the evaluated DMU may not be contrasted with the DMUs under evaluation, but with sample standards determined by production strategy. In such a case, the notion of restricted fuzzy set is proposed. The constraint condition is extended to a more general form, i.e., the constraint condition, in which the sample DMUs have similar behaviors, consists of one of sample standards determined by production strategy. The basic idea is to transform the fuzzy DEA model to the conventional DEA model by applying the formula of center of mass, and the relationship between the production frontier and fuzzy DEA efficiency is given. To reduce the computational load, an algorithm based on the golden section method is employed to locate the standard that the evaluated DMU best fits. Finally, a numerical example is provided to illustrate the proposed model.

Journal

Journal of Intelligent & Fuzzy Systems – IOS Press

Published: Jan 1, 2017

There are no references for this article.