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|Title:||Weak orders on multichannel information spaces and their applications in evaluating|
|Citation:||IMA Journal of Mathematical Control & Information, 2012; 29(3):357-381|
|Publisher:||Oxford University Press|
|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.|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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