Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/77896
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Type: Journal article
Title: Weak orders on multichannel information spaces and their applications in evaluating
Author: Wang, G.
Shi, P.
Messenger, P.
Citation: IMA Journal of Mathematical Control & Information, 2012; 29(3):357-381
Publisher: Oxford University Press
Issue Date: 2012
ISSN: 0265-0754
1471-6887
Statement of
Responsibility: 
Guixiang Wang, Peng Shi and Paul Messenger
Abstract: In this paper, the problems of binary relations on one special subspace of n-dimensional fuzzy number space and their applications in ranking imprecise multidimensional digital information are investigated. Some binary relations on the fuzzy number subspace or on a bounded subset of the subspace are defined; their characteristics are discussed and their properties are studied. It is shown that they are weak orders on the subspace or on a bounded subset of the subspace. Practical examples are included to demonstrate how to evaluate items which possess multidimensional and imprecise or uncertain attributes using the new ideas of weak orders.
Keywords: fuzzy n-cell numbers; n-dimensional fuzzy vectors; binary relations; weak orders; evaluating.
Rights: © The author 2012. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
RMID: 0020127491
DOI: 10.1093/imamci/dnr032
Appears in Collections:Electrical and Electronic Engineering publications

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