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Math. Comput. Appl. 2016, 21(2), 19; doi:10.3390/mca21020019

A Multiple Attribute Decision-Making Method Based on Exponential Fuzzy Numbers

1,2,* and 1
1
Department of Information Management, Hunan University of Finance and Economics, Changsha 410205, China
2
DeVry University, Fremont, CA 94555, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Mehmet Ilgın
Received: 23 April 2016 / Revised: 16 May 2016 / Accepted: 17 May 2016 / Published: 21 May 2016
View Full-Text   |   Download PDF [206 KB, uploaded 21 May 2016]

Abstract

Regarding the multi-attribute decision-making problem where both the attribute value and attribute weight of a scheme are exponential fuzzy numbers, this paper proposes a fuzzy multiple attribute decision-making method based on exponential fuzzy numbers. The expected value and variance of the exponential fuzzy number were calculated according to the definitions of expectation and variance in probability theory. By comprehensively considering factors such as expected value, variance, and attitude preference of the decision-maker, this paper gave the score function of the exponential fuzzy number, based on which the accurate attribute weight can be determined. Subsequently, based on the distance measure between exponential fuzzy numbers, the distance was calculated between each scheme and the positive/negative ideal scheme, respectively, and the relative closeness of each scheme was solved; based on this, sorting and prioritizing were conducted. Finally, the feasibility and effectiveness of the proposed method were verified through case analysis. View Full-Text
Keywords: exponential fuzzy number; fuzzy multiple attribute decision making; expected value; weighted distance; relative closeness exponential fuzzy number; fuzzy multiple attribute decision making; expected value; weighted distance; relative closeness
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Fu, S.; Fan, G.-B. A Multiple Attribute Decision-Making Method Based on Exponential Fuzzy Numbers. Math. Comput. Appl. 2016, 21, 19.

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