Cost Efficiency Measures with Trapezoidal Fuzzy Numbers in Data Envelopment Analysis Based on Ranking Functions: Application in Insurance Organization and Hospital

Authors:
Ali Ebrahimnejad
Affiliations:
Department of Mathematics, Islamic Azad University-Qaemshahr Branch, Iran
Venue:
International Journal of Fuzzy System Applications
Year:
2012

Citing 8
Cited 1

Linear programming with fuzzy variables

Fuzzy Sets and Systems
Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming

Fuzzy Sets and Systems
Fuzzy efficiency measures in data envelopment analysis

Fuzzy Sets and Systems
Fuzzy DEA: a perceptual evalution method

Fuzzy Sets and Systems
Duality results and a dual simplex method for linear programming problems with trapezoidal fuzzy variables

Fuzzy Sets and Systems
Fuzzy data envelopment analysis (DEA): Model and ranking method

Journal of Computational and Applied Mathematics
Interval efficiency assessment using data envelopment analysis

Fuzzy Sets and Systems
Expected value of fuzzy variable and fuzzy expected value models

IEEE Transactions on Fuzzy Systems

Formal process algebraic modeling, verification, and analysis of an abstract Fuzzy Inference Cloud Service

The Journal of Supercomputing

Quantified Score

Hi-index	0.00

Visualization

Abstract

Cost efficiency CE evaluates the ability to produce current outputs at minimal cost, given its input prices. In ordinary CE model, the input prices are assumed to be definite. In recent years, various attempts have been made to measuring CE when the input prices are as trapezoidal fuzzy numbers. The main contribution of this paper is to provide a new approach for generalizing the CE of decision making units in data envelopment analysis when the input prices are trapezoidal fuzzy numbers, where concepts of fuzzy linear programming problems and CE, are directly used. Here, the author used the linear ranking functions to compare fuzzy numbers. The proposed method is illustrated with two application examples and proves to be persuasive and acceptable in real world systems.