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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 763543, 8 pages
http://dx.doi.org/10.1155/2014/763543
Research Article

Generalized Grey Target Decision Method for Mixed Attributes Based on Connection Number

1School of Mines, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China
2School of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo, Henan 454000, China

Received 2 January 2014; Revised 28 February 2014; Accepted 30 March 2014; Published 27 April 2014

Academic Editor: Olivier Bahn

Copyright © 2014 Jinshan Ma and Changsheng Ji. 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.

Abstract

Grey target decision model for mixed attributes including real numbers, interval numbers, triangular fuzzy numbers, and trapezoidal fuzzy numbers is complex for its data processing in different ways and information distortion in handling fuzzy numbers. To solve these problems, the binary connection number proposed in set pair analysis is applied to unify different types of index values with their parameters’ average values and standard deviations as determinacy-uncertainty vectors. Then the target center index vectors are determined by the modules of index vectors of all alternatives under different attributes. So the similarity of each index vector and its target center index vector called nearness degree can be calculated. Following, all the nearness degrees are normalized in linear method in order to be compared with each other. Finally, the optimal alternative can be determined by the minimum of all integrated nearness degrees. Case study demonstrated that this approach can not only unify different types of numbers, and simplify the calculation but also reduce the information distortion in operating fuzzy numbers.