We approach the full fuzzy data envelopment analysis (DEA) strictly relying on the extension principle. So far in the literature, fuzzy DEA (that uses fuzzy inputs and outputs but crisp weights) and full fuzzy DEA (that uses fuzzy inputs, outputs and weights) were treated distinctly. However, the crisp weights from fuzzy models only act as crisp weights within optimization, but in fact their feasible values finally describe fuzzy weights. As a consequence, the distinction between full fuzzy models and fuzzy models is due to the distinction between establishing or not an a priori shape for the fuzzy weights. In this paper we advance the idea that the methodologies introduced for fuzzy DEA are valuable for full fuzzy DEA as well; and propose a Monte Carlo simulation algorithm to offer an empirical visualization of the shapes of the fuzzy efficiencies of DMUs in full fuzzy DEA. Such visualization firstly can certify whether a solution approach to a full fuzzy DEA derives solutions complying to the extension principle or not; and secondly discloses the fuzzy shapes of the weights obtained by applying a methodology from fuzzy DEA to solving full fuzzy DEA. The complexity of the proposed algorithm is the same as the solution approach to the crisp DEA model that corresponds to the observed full fuzzy DEA model. We report the numerical results of our experiments, compare them to results found in the recent literature, and discuss the misleading consequences of ignoring the extension principle in the context of full fuzzy DEA. Keywords: data envelopment analysis, efficiency, fuzzy programming.

Bogdana Stanojević

Milan Stanojević

International Journal of Computers Communications & Control

International Journal of Computers Communications & Control is directed to the international communities of scientific researchers in computers, communications and control, from the universities, research units and industry. To differentiate from other similar journals, the editorial policy of IJCCC encourages the submission of original scientific papers that focus on the integration of the 3 "C" (Computing, Communications, Control).

In particular, the following topics are expected to be addressed by authors:
(1) Integrated solutions in computer-based control and communications;
(2) Computational intelligence methods & Soft computing (with particular emphasis on fuzzy logic-based methods, computing with words, ANN, evolutionary computing, collective/swarm intelligence);
(3) Advanced decision support systems (with particular emphasis on the usage of combined solvers and/or web technologies).

The International Journal of Computers, Communications and Control serves the international community of scientific researchers in the fields of computers, communications, and control, including universities, research institutions, and industry. To distinguish itself from other similar journals, IJCCC encourages the submission of original scientific papers that focus on the integration of the three "C"s: Computing, Communications, and Control.\n\nIn particular, authors are expected to address the following topics: \n(1) Integrated solutions in computer-based control and communications; \n(2) Computational intelligence methods and soft computing (with a particular emphasis on fuzzy logic-based methods, computing with words, artificial neural networks, evolutionary computing, and collective/swarm intelligence); \n(3) Advanced decision support systems (with a particular emphasis on the use of combined solvers and/or web technologies).

《International Journal of Computers, Communications and Control》旨在服务于计算机、通信和控制领域的国际科学研究社区，包括大学、研究机构和工业界。为了与其他类似期刊区分开来，IJCCC的编辑政策鼓励提交原创科学论文，重点关注三者的整合：计算、通信和控制。\n\n特别地，作者应关注以下主题：\n(1) 基于计算机的控制和通信的集成解决方案；\n(2) 计算智能方法与软计算（特别强调模糊逻辑方法、词汇计算、人工神经网络、进化计算、集体/群体智能）；\n(3) 高级决策支持系统（特别强调结合求解器和/或网络技术的使用）。

Category	Quartile
计算机科学	4
计算机科学, 自动化与控制系统	4
计算机科学, 计算机信息系统	4

On approaching full fuzzy data envelopment analysis and its validation

ivySCI AI Smartly Parses PDF, Answers Researchers' Questions, and Helps You Understand Papers in Seconds

Journal Info

Category	Quartile
COMPUTER SCIENCE, INFORMATION SYSTEMS	3