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Title: Truth-space mass assignments
Authors: Patching, Robert S.
Issue Date: 2005
Publisher: © Robert Steven Patching
Abstract: The theory of mass assignments allows reasoning using probability families that are either imprecise, incomplete or both. The majority of previous work has been with mass assignments defined upon arbitrary domains. This Thesis concentrates on a neglected specialisation of mass assignments, the truth-space mass assignments defined upon the power set of Booleans. The semantics of truth-space mass assignments and their operators are described, both in relation to general mass assignments and also with other methods of imprecise and incomplete reasoning. New operators are defined for truth-space mass assignments that allow them to be reasoned with in new ways consistent with other logic systems. Alterations are made to existing operators to allow them to act in a more intuitive way. Using the new and altered operators this Thesis allows mass assignment theory to act as a many-valued logic handling imprecise and incomplete truths. This opens up many new topics of research and potential for applying the method to solve problems in a new way.
Description: A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.
URI: https://dspace.lboro.ac.uk/2134/34119
Appears in Collections:PhD Theses (Computer Science)

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Thesis-2005-Patching.pdf3.07 MBAdobe PDFView/Open
Form-2005-Patching.pdf45.24 kBAdobe PDFView/Open

 

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