A Novel Framework of Fuzzy Complex Numbers and its Application to Compositional Modelling

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dc.contributor.author Fu, Xin
dc.contributor.author Shen, Qiang
dc.date.accessioned 2009-09-04T08:54:43Z
dc.date.available 2009-09-04T08:54:43Z
dc.date.issued 2009-09-04
dc.identifier.citation Fu , X & Shen , Q 2009 , ' A Novel Framework of Fuzzy Complex Numbers and its Application to Compositional Modelling ' pp. 536-541 . en
dc.identifier.other PURE: 124197
dc.identifier.other dspace: 2160/2908
dc.identifier.uri http://hdl.handle.net/2160/2908
dc.description X. Fu and Q. Shen. A Novel Framework of Fuzzy Complex Numbers and its Application to Compositional Modelling. Proceedings of the 18th International Conference on Fuzzy Systems (FUZZ-IEEE'09), pp. 536-541, 2009. en
dc.description.abstract Dealing with various inexact pieces of information has become an intrinsically important issue in knowledge-based reasoning, because many problem domains involve imprecise, incomplete and uncertain information. Indeed, different approaches exist for reasoning with inexact knowledge and data. However, the common strategy they adopt is to integrate various types of inexact information into a global measure. This may destroy the underlying semantics associated with different information components. This paper presents an innovative notion of fuzzy complex numbers (FCNs), which extends real complex numbers to representing two-dimensional uncertainties conjunctively without necessarily integrating them. This new framework is applied to supporting Compositional Modelling (CM). In particular, calculus of FCNs over arithmetic and propositional relations is developed to entail scenario model synthesis from model fragments, and modulus of FCNs is introduced to constrain the scenario descriptions. The utility and usefulness of this work are illustrated by means of an example for constructing possible scenario descriptions from given evidence in the crime investigation domain. en
dc.format.extent 6 en
dc.language.iso eng
dc.relation.ispartof en
dc.title A Novel Framework of Fuzzy Complex Numbers and its Application to Compositional Modelling en
dc.type Text en
dc.type.publicationtype Conference paper en
dc.contributor.institution Department of Computer Science en
dc.description.status Non peer reviewed en


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