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

Xin Fu, Qiang Shen

Research output: Chapter in Book/Report/Conference proceedingConference Proceeding (Non-Journal item)

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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.
Original languageEnglish
Title of host publication18th International Conference on Fuzzy Systems (FUZZ-IEEE'09)
Pages536-541
Number of pages6
ISBN (Electronic)978-1-4244-3597-5
DOIs
Publication statusPublished - Aug 2009
EventFuzzy Systems - Jeju Island, Korea (Republic of)
Duration: 20 Aug 200924 Aug 2009
Conference number: 18

Conference

ConferenceFuzzy Systems
Abbreviated titleFUZZ-IEEE-2009
Country/TerritoryKorea (Republic of)
CityJeju Island
Period20 Aug 200924 Aug 2009

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