Weak orders on multichannel information spaces and their applications in evaluating
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Wang, Guixiang, Shi, Peng and Messenger, Paul (2012) Weak orders on multichannel information spaces and their applications in evaluating. IMA Journal of Mathematical Control and Information, 29 (3). pp. 357-381. ISSN 0265-0754 (print) 1471-6887 (online)
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.
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| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/23131 |
| DOI | 10.1093/imamci/dnr032 |
| Official URL | http://imamci.oxfordjournals.org/content/29/3/357.... |
| Subjects | Historical > FOR Classification > 0802 Computation Theory and Mathematics Current > Division/Research > College of Science and Engineering |
| Keywords | ResPubID25853, fuzzy n-cell numbers, n-dimensional fuzzy vectors, binary relations, weak orders, evaluating |
| Citations in Scopus | 5 - View on Scopus |
| Download/View statistics | View download statistics for this item |
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