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Probabilistic fuzzy cognitive map

  • Heng-Jie Song
  • , Zhi-Qi Shen
  • , Chun-Yan Miao
  • , Zhi-Qiang Liu
  • , Yuan Miao

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

Abstract

In this paper, we present the Probabilistic Fuzzy Cognitive Map (PFCM) which is a novel extension of FCM theory. Each concept in PFCM is extended to a fuzzy event that models not only the fuzzy degree but also the fuzzy probability of both the cause and the effect concepts. PFCM enhances the capability of conventional FCMs to handle both randomness and fuzziness which are necessary to model the uncertainty involved in inference process of complex causal system. A formalized inference process of PFCMs is presented for adjustments on probability of fuzzy events and for dynamic update of causal weights. This enables PFCM to synthetically analyze the impacts of randomness and fuzziness on causal inference process. The simulation result shows a good match to the above features of PFCM. PFCM, as an initial attempt, provides a heuristic approach to model the uncertainty of complex causal systems and opens a collection of interesting research issues for further research. © 2006 IEEE.
Original languageEnglish
Title of host publication2006 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2006
PublisherIEEE
Pages1221-1228
ISBN (Print)0780394887, 9780780394889
DOIs
Publication statusPublished - 2006
Event2006 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2006 - Vancouver, BC, Canada
Duration: 16 Jul 200621 Jul 2006

Publication series

NameIEEE International Conference on Fuzzy Systems
ISSN (Print)1098-7584

Conference

Conference2006 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2006
PlaceCanada
CityVancouver, BC
Period16/07/0621/07/06

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Research Keywords

  • Causal inference process
  • Dynamic property
  • Fuzzy cognitive map
  • Fuzzy event
  • Probabilistic fuzzy cognitive map

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