Paper Info
Title
Fuzzy integer-valued data envelopment analysis.
Abstract
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 integervalued 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 integervalued 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.
Year
DOI
Venue
2018
10.1051/ro/2018015
RAIRO-OPERATIONS RESEARCH
Keywords
Field
DocType
Data envelopment analysis,efficiency,fuzzy data,integer values
Integer,Mathematical optimization,Ranking,Fuzzy logic,Data envelopment analysis,Fuzzy data,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
52
4-5
0399-0559
Citations 
PageRank 
References 
0
0.34
18
Authors
3
Name
Order
Citations
PageRank
Sohrab Kordrostami17613.38
Alireza Amirteimoori218223.77
Monireh Jahani Sayyad Noveiri301.69