Proposing integrated Shannon's entropy–inverse data envelopment analysis methods for resource allocation problem under a fuzzy environment. Issue 10 (3rd October 2017)

• Record Type: Journal Article
• Authors: Çakır, Süleyman
• Is Part Of: Engineering optimization. Volume 49:Issue 10(2017)
• Page Start: 1733
• Page End: 1749
• Publication Date: 2017-10-03
• Subjects: Inverse DEA -- interval data -- imprecise Shannon's entropy; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2016.1262606
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: In this study, a two-phase methodology for resource allocation problems under a fuzzy environment is proposed. In the first phase, the imprecise Shannon's entropy method and the acceptability index are suggested, for the first time in the literature, to select input and output variables to be used in the data envelopment analysis (DEA) application. In the second step, an interval inverse DEA model is executed for resource allocation in a short run. In an effort to exemplify the practicality of the proposed fuzzy model, a real case application has been conducted involving 16 cement firms listed in Borsa Istanbul. The results of the case application indicated that the proposed hybrid model is a viable procedure to handle input–output selection and resource allocation problems under fuzzy conditions. The presented methodology can also lend itself to different applications such as multi-criteria decision-making problems.