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https://knowledgecommons.lakeheadu.ca/handle/2453/2439
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DC Field | Value | Language |
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dc.contributor.advisor | Yao, Yiyu | - |
dc.contributor.author | Noroozi, Nasser | - |
dc.date.accessioned | 2017-06-07T19:43:58Z | - |
dc.date.available | 2017-06-07T19:43:58Z | - |
dc.date.created | 1995 | - |
dc.date.issued | 1995 | - |
dc.identifier.uri | http://knowledgecommons.lakeheadu.ca/handle/2453/2439 | - |
dc.description.abstract | The representation of uncertain information and inference with such information are some of the fundamental issues in uncertainty management. Conventional methods for uncertainty management usually use a single value with the exception of interval-based approaches. In interval-based approaches, an interval is used to represent the uncertain information. It is assumed that the true, possibly unknown, value lies in an interval. However, in order to use interval-based methods, there must exist an order relation on the set of data values. The main objective of this thesis is to extend single-valued and interval-valued methods by introducing a framework of set-valued computations. In this model, uncertain information is described by a set without any further restrictions. Basic issues of set-based computations are investigated. Operations on set values are defined based on the corresponding point-based (i.e., single-value-based) operations on their members. The properties of set-based computations are examined in connection to the corresponding properties of the point-based computations. Within the proposed framework, a critical analysis of a number of existing set-based computation methods is presented. This provides further evidence supporting the proposed model. To a large extent, the present study may be regarded as a more explicit re-examination of methods that have been implicitly used in many studies, using a unified notion. The results of such an investigation will be useful in establishing a framework for more systematic study of set-based computations. | - |
dc.language.iso | en_US | - |
dc.subject | Set theory | - |
dc.title | Set-based computations | - |
dc.type | Thesis | - |
etd.degree.name | Master of Science | - |
etd.degree.level | Master | - |
etd.degree.discipline | Mathematical Sciences | - |
etd.degree.grantor | Lakehead University | - |
Appears in Collections: | Retrospective theses |
Files in This Item:
File | Description | Size | Format | |
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NorooziN1995m-1b.pdf | 1.62 MB | Adobe PDF | ![]() View/Open |
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