Efficiency decomposition in three-stage network with fuzzy desirable and undesirable output and fuzzy input in data envelopment analysis

Abstract

Purpose

The purpose of this paper is to improve the recent models for the evaluation of the efficiency of decision making units (DMUs) comprising a network structure with undesirable intermediate measures and fuzzy data.

Design/methodology/approach

In this paper a three-stage network structure model with desirable and undesirable data is presented and is solved as linear triangular fuzzy planning problems.

Findings

A new three stage network data envelopment analysis (DEA) model is established to evaluate the efficiency of industries with undesirable and desirable indicators in fuzzy environment.

Practical implications

The implication of this study is to evaluate the furniture services and the chipboard industries of wood lumber as a three-stage process.

Originality/value

In some cases, DMUs include two or multi-stage process (series or parallel) operating with a structure called a network DEA. Also, in the real world problems, the data are often presented imprecisely. Additionally, the intermediate measures under the real-world conditions include desirable and undesirable data. These mentioned indexes show the value of the proposed model.

Citation

Saeedi Aval Noughabia, F., Malekmohammadi, N., Hosseinzadeh Lotfi, F. and Razavyan, S. (2023), "Efficiency decomposition in three-stage network with fuzzy desirable and undesirable output and fuzzy input in data envelopment analysis", International Journal of Intelligent Computing and Cybernetics, Vol. 16 No. 4, pp. 665-696. https://doi.org/10.1108/IJICC-12-2022-0306