Eurofuse 2011 pp 193-205 | Cite as

On the Semantics of Bipolarity and Fuzziness

  • J. Tinguaro Rodríguez
  • Camilo A. Franco
  • Javier Montero
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 107)


This paper analyzes the relationship between fuzziness and bipolarity, notions which were devised to address different kinds of uncertainty: linguistic imprecision, in the former, and knowledge relevance and character or polarity, in the latter. Although different types of fuzziness and bipolarity have been defined, these relations are not always clear. This paper proposes the use of four-valued extensions to provide a formal method to rigorously define and compare the semantics and logical structure of diverse combinations of fuzziness and bipolarity types. As a result, this paper claims that these notions and their different types are independent and not semantically equivalent despite its possible formal equivalence.


Fuzzy Logic Prospect Theory Negative Information Cumulative Prospect Theory Evidence Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • J. Tinguaro Rodríguez
    • 1
  • Camilo A. Franco
    • 1
  • Javier Montero
    • 1
  1. 1.Faculty of MathematicsComplutense University of MadridMadridSpain

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