A Novel Fully Fuzzy DEA Approach for Measuring Cost and Revenue Efficiency with Target Setting

Authors

  • Javad Gerami Department of mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.

Keywords:

Data envelopment analysis, Fully fuzzy DEA, Fuzzy cost efficiency, Fuzzy revenue efficiency, Target setting.

Abstract

In this paper, we present cost and revenue efficiency evaluation models and target setting in data envelopment analysis (DEA) in the presence of fuzzy inputs and outputs that the corresponding prices of inputs and outputs are also fuzzy numbers. We proposed a fuzzy value-based technology based on fuzzy input and output data at corresponding prices. We provide an approach for calculating fuzzy cost and revenue efficiency based on value fuzzy based technology according to fuzzy inputs and outputs. The proposed approach develops traditional DEA models to calculate revenue and cost efficiency in the presence of fuzzy inputs and outputs. The proposed fully fuzzy model is transformed into a three-objective model of non-fuzzy linear programming and solved by the weighted sum method. We show that the proposed approach is suitable than the previous approaches based on traditional models from a computational point of view. The innovation of this research is to present and solve a completely fuzzy efficiency model to obtain fuzzy cost and revenue efficiency as a fuzzy number where all its components are in the interval [0,1], while in previous approaches the values of fuzzy numerical components may correspond to the efficiency scores may be one number greater than one. We also obtain benchmark corresponding to the all DMUs. In the following, with two numerical examples, we obtain the results of the presented approach and compare it with the results of the previous approaches, and at the end, we present the results of the research.

 

Author Biography

Javad Gerami, Department of mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.

Department of Mathematics, Shiraz branch, Islamic Azad University, Shiraz, Iran.

Downloads

Additional Files

Published

2023-01-09

Issue

Vol. 17

Section

Vol. 17, No. 2, (2023)

License

Upon acceptance of an article, authors will be asked to complete a 'Journal Publishing Agreement'. An e-mail will be sent to the corresponding author confirming receipt of the manuscript together with a "Journal Publishing Agreement" form or a link to the online version of this agreement.

Journal author rights

Authors have copyright but license exclusive rights in their article to the publisher. In this case authors have the right to:

  • Share their article in the same ways permitted to third parties under the relevant user license (together with Personal use rights) so long as it contains a link to the version of record on this website.
  • Retain patent, trademark and other intellectual property rights (including raw research data).
  • Proper attribution and credit for the published work.

Rights granted to this journal

The Journal of Mathematical Extension is granted the following rights:

  • This journal will apply the relevant third party user license where this journal publishes the article on its online platforms.
  • The right to provide the article in all forms and media so the article can be used on the latest technology even after publication.
  • The authority to enforce the rights in the article, on behalf of an author, against third parties, for example in the case of plagiarism or copyright infringement.

Protecting author right

Copyright aims to protect the specific way the article has been written to describe an experiment and the results. This journal is committed to its authors to protect and defend their work and their reputation and takes allegations of infringement, plagiarism, ethic disputes and fraud very seriously.

If an author becomes aware of a possible plagiarism, fraud or infringement we recommend contacting the editorial office immediately.

Personal use

Authors can use their articles, in full or in part, for a wide range of scholarly, non-commercial purposes as outlined below:

  • Use by an author in the author’s classroom teaching (including distribution of copies, paper or electronic)
  • Distribution of copies (including through e-mail) to known research colleagues for their personal use (but not for Commercial Use)
  • Inclusion in a thesis or dissertation (provided that this is not to be published commercially)
  • Use in a subsequent compilation of the author’s works
  • Extending the Article to book-length form
  • Preparation of other derivative works (but not for Commercial Use)
  • Otherwise using or re-using portions or excerpts in other works

These rights apply for all authors who publish their article in this journal. In all cases we require that all authors always include a full acknowledgement and, if appropriate, a link to the final published version hosted on this website.