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In conventional data envelopment analysis (DEA) models, the efficiency of decision making units (DMUs) is evaluated while data are precise and continuous. Nevertheless, there are occasions in the real world that the performance of DMUs must be calculated in the presence of vague and integer-valued measures. Therefore, the current paper proposes fuzzy integer-valued data envelopment analysis (FIDEA) models to determine the efficiency of DMUs when fuzzy and integer-valued inputs and/or outputs might exist. To illustrate, fuzzy number ranking and graded mean integration representation methods are used to solve some integer-valued data envelopment analysis models in the presence of fuzzy inputs and outputs. Two examples are utilized to illustrate and clarify the proposed approaches. In the provided examples, two cases are discussed. In the first case, all data are as fuzzy and integer-valued measures while in the second case a subset of data is fuzzy and integer-valued. The results of the proposed models indicate that the efficiency scores are calculated correctly and the projections of fuzzy and integer factors are determined as integer values, while this issue has not been discussed in fuzzy DEA, and projections may be estimated as real-valued data.
Kordrostami, Sohrab 1 ; Amirteimoori, Alireza 1 ; Noveiri, Monireh Jahani Sayyad 1
@article{RO_2018__52_4-5_1429_0,
author = {Kordrostami, Sohrab and Amirteimoori, Alireza and Noveiri, Monireh Jahani Sayyad},
title = {Fuzzy integer-valued data envelopment analysis},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {1429--1444},
publisher = {EDP-Sciences},
volume = {52},
number = {4-5},
year = {2018},
doi = {10.1051/ro/2018015},
zbl = {1411.90226},
mrnumber = {3884155},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2018015/}
}
TY - JOUR AU - Kordrostami, Sohrab AU - Amirteimoori, Alireza AU - Noveiri, Monireh Jahani Sayyad TI - Fuzzy integer-valued data envelopment analysis JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 1429 EP - 1444 VL - 52 IS - 4-5 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ro/2018015/ DO - 10.1051/ro/2018015 LA - en ID - RO_2018__52_4-5_1429_0 ER -
%0 Journal Article %A Kordrostami, Sohrab %A Amirteimoori, Alireza %A Noveiri, Monireh Jahani Sayyad %T Fuzzy integer-valued data envelopment analysis %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 1429-1444 %V 52 %N 4-5 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ro/2018015/ %R 10.1051/ro/2018015 %G en %F RO_2018__52_4-5_1429_0
Kordrostami, Sohrab; Amirteimoori, Alireza; Noveiri, Monireh Jahani Sayyad. Fuzzy integer-valued data envelopment analysis. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1429-1444. doi: 10.1051/ro/2018015
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