New mechanisms for reasoning and impacts accumulation for Rule Based Fuzzy Cognitive Maps

Pawel Zdanowicz, Dobrila Petrovic

Research output: Contribution to journalArticle

5 Citations (Scopus)
40 Downloads (Pure)

Abstract

Rule Based Fuzzy Cognitive Maps (RBFCMs) have been developed for modelling non-monotonic, uncertain, cause-effect systems. However, the standard reasoning and impact accumulation mechanisms developed for RBFCMs assume that the level of variation that a fuzzy set represents is directly linked with the shape of the fuzzy set. It poses a big restriction on how the corresponding fuzzy sets have to be constructed. In this paper we propose a new reasoning and impact accumulation mechanisms which take into consideration standard semantics of fuzzy sets, where their uncertainty is measured by fuzziness. New type of complex fuzzy relationships and reasoning on them is introduced to model a joint impact of several causal nodes on one effect node. With these new mechanisms, RBFCMs become much more flexible, provide more means to capture complexity of real world systems and are less computational demanding than standard mechanisms. The advantages of the new RBFCMs are demonstrated using different examples and compared with standard mechanisms.
Original languageEnglish
Pages (from-to)543-555
Number of pages13
JournalIEEE Transactions on Fuzzy Systems
Volume26
Issue number2
DOIs
Publication statusPublished - 22 Mar 2017

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Fuzzy Cognitive Maps
Fuzzy sets
Reasoning
Fuzzy Sets
Fuzziness
Vertex of a graph
Semantics
Restriction
Uncertainty
Standards
Modeling

Keywords

  • Fuzzy sets
  • cognition
  • standards
  • fuzzy cognitive maps
  • hebbian theory
  • shape
  • semantics
  • reasoning mechanism
  • rule based cognitive maps
  • fuzzy logic
  • fuzzy causal relationship

Cite this

New mechanisms for reasoning and impacts accumulation for Rule Based Fuzzy Cognitive Maps. / Zdanowicz, Pawel; Petrovic, Dobrila.

In: IEEE Transactions on Fuzzy Systems, Vol. 26, No. 2, 22.03.2017, p. 543-555.

Research output: Contribution to journalArticle

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