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Using data envelopment analysis to defuzzify a group of dependent fuzzy numbers


Langroudi, Majid Zerafat Angiz and Mat Kasim, Maznah and Saleh, Jehan S. (2014) Using data envelopment analysis to defuzzify a group of dependent fuzzy numbers. In: 12th International Conference on Data Envelopment Analysis (DEA2014), April 14-17, 2014, Kuala Lumpur, Malaysia. (Unpublished)

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Abstract

The defuzzification process converts fuzzy numbers to crisp ones and is an important stage in the implementation of fuzzy systems. In many actual applications, relationships among data indicate their mathematical dependence on one another. Hence, this study proposes a new method based on the Data Envelopment Analysis (DEA) model to defuzzify a group of dependent fuzzy numbers. It also aims to obtain the crisp points that satisfy the characteristics of these data as a group by approximating the optimal solutions within the production possibility set of the DEA model.The proposed method partitions the fuzzy numbers, and the relationships among these numbers are observed as constraints. Finally, the usefulness of this new method is illustrated in a real-world problem.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: dependent fuzzy numbers, group defuzzification, Data Envelopment Analysis
Subjects: Q Science > QA Mathematics
Divisions: School of Quantitative Sciences
Depositing User: Dr. Maznah Mat Kassim
Date Deposited: 12 Oct 2015 08:57
Last Modified: 19 May 2016 02:45
URI: http://repo.uum.edu.my/id/eprint/15698

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