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Bipolar Semantic Cells: An Interval Model for Linguistic Labels

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Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7027))

Abstract

An interval model for linguistic labels is proposed by introducing bipolar semantic cells for concept representation. According to this model, the degree to which each element is a positive case of a given linguistic expression is an interval value. Fundamental to our approach is that there is an uncertain border area associated with linguistic labels. This is modeled by assuming that there are two uncertain boundaries for each linguistic label, resulting in a bipolar semantic cell for concept representation. The calculus of lower and upper neighborhood functions of linguistic expressions is developed and investigated. This then provides a framework for modelliong the vague concepts in uncertain reasoning.

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References

  1. Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87–96 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  2. Dubois, D., Prade, H.: An introduction to bipolar representations of information and preference. International Journal of Intelligent Systems 23, 866–877 (2008)

    Article  MATH  Google Scholar 

  3. Lawry, J.: A framework for linguistic modelling. Artificial Intelligence 155, 1–39 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  4. Lawry, J.: Appropriateness measures: an uncertainty model for vague concepts. Synthese 161(2), 255–269 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Lawry, J.: A Random Set and Prototype Theory Interpretation of Intuitionistic Fuzzy Sets. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010, Part I, CCIS, vol. 80, pp. 618–628. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  6. Lawry, J., Tang, Y.: Uncertainty modelling for vague concepts: A prototype theory approach. Artificial Intelligence 173, 1539–1558 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  7. Lawry, J., Tang, Y.: Granular knowledge representation and inference using labels and expressions. IEEE Trans. Fuzzy Syst. 18(3), 500–514 (2010)

    Article  Google Scholar 

  8. Rosch, E.: Natural categories. Cognitive Psychology 4(3), 328–350 (1973)

    Article  Google Scholar 

  9. Rosch, E.: Cognitive representations of semantic categories. Journal of Experimental Psychology: General 104(3), 192–233 (1975)

    Article  Google Scholar 

  10. Tang, Y., Lawry, J.: A prototype-based rule inference system incorporating linear functions. Fuzzy Sets and Systems 161, 2831–2853 (2010)

    Article  MathSciNet  MATH  Google Scholar 

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Tang, Y., Lawry, J. (2011). Bipolar Semantic Cells: An Interval Model for Linguistic Labels. In: Tang, Y., Huynh, VN., Lawry, J. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2011. Lecture Notes in Computer Science(), vol 7027. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24918-1_9

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  • DOI: https://doi.org/10.1007/978-3-642-24918-1_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24917-4

  • Online ISBN: 978-3-642-24918-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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