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

Xin Fu, Qiang Shen

Allbwn ymchwil: Pennod mewn Llyfr/Adroddiad/Trafodion CynhadleddTrafodion Cynhadledd (Nid-Cyfnodolyn fathau)

5 Dyfyniadau(SciVal)
204 Wedi eu Llwytho i Lawr (Pure)


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.
Iaith wreiddiolSaesneg
Teitl18th International Conference on Fuzzy Systems (FUZZ-IEEE'09)
Nifer y tudalennau6
ISBN (Electronig)978-1-4244-3597-5
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - Awst 2009
DigwyddiadFuzzy Systems - Jeju Island, Korea (Gweriniaeth)
Hyd: 20 Awst 200924 Awst 2009
Rhif y gynhadledd: 18


CynhadleddFuzzy Systems
Teitl crynoFUZZ-IEEE-2009
Gwlad/TiriogaethKorea (Gweriniaeth)
DinasJeju Island
Cyfnod20 Awst 200924 Awst 2009

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