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A Method of Intuitionistic Fuzzy Reasoning Based on Inclusion Degree and Similarity Measure

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Book cover Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 40))

Abstract

In this paper, a new method of intuitionistic fuzzy reasoning is proposed. First, the definition of inclusion degree based on fuzzy implication operators and the similarity measure between intuitionistic fuzzy sets(IFSs) are introduced. Then, the similarity measure of IFSs is applied to intuitionistic fuzzy reasoning. Finally, the process of reasoning is illustrated with an example.

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References

  1. Zadeh, L.A.: Fuzzy sets. Inform. and Control 8, 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  3. Atanassov, K.T., Gargov, G.: Intuitionistic fuzzy logic. Comptes Rendus de L’Academe Bulgare des Sciences 43, 9–12 (1990)

    MATH  MathSciNet  Google Scholar 

  4. Li, D.F.: Multiattribute decision-making medols and methods using intuitionistic fuzzy set. Journal of Computer and System Sciences 70, 73–85 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. De, S.K., Biswas, R., Roy, A.R.: An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets and Systems 117, 209–213 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  6. Cornelis, C., Deschrijver, G., Kerre, E.E.: Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application. International Journal of Approximate Reasoning 35, 55–95 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  7. Chen, S.M.: Measure of similarity between vague sets. Fuzzy Sets and Systems 74(2), 217–223 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  8. Li, D.F., Cheng, C.: New similarity measure of intuitionistic fuzzy sets and application to patten recognition. Pattern Recognition Letters 23, 221–225 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  9. Bustine, H.: Indicator of inclusion grade for interval-valued fuzzy sets. Application for approximate reasoning based on interval-valued fuzzy sets. International Journal of Approximate Reasoning 23(3), 137–209 (2000)

    Article  MathSciNet  Google Scholar 

  10. Hong, D.H., Kim, C.: A note on similarity measures between vague sets and between elements. Information Sciences 115, 83–96 (1999)

    Article  MATH  MathSciNet  Google Scholar 

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Bing-Yuan Cao

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© 2007 Springer-Verlag Berlin Heidelberg

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Lin, L., Yuan, Xh. (2007). A Method of Intuitionistic Fuzzy Reasoning Based on Inclusion Degree and Similarity Measure. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_35

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  • DOI: https://doi.org/10.1007/978-3-540-71441-5_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71440-8

  • Online ISBN: 978-3-540-71441-5

  • eBook Packages: EngineeringEngineering (R0)

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