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Continuity of Compatibility Function Based on T-Operation

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Fuzzy Information and Engineering Volume 2

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 62))

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Abstract

In this paper we propose the concept of compatibility function for fuzzy value with respect to a kind of the binomial operations which is called t-operation. The continuity of compatibility function on three kinds of metric spaces are discussed, respectively.

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References

  1. Chen, Q.: Introduction to analysis of fuzzy value. In: Proc. 12th Japan Fuzzy System Sym., pp. 239–242 (1996)

    Google Scholar 

  2. Chen, Q., Kawase, S.: On operations and order relations between fuzzy values. Fuzzy Sets and System 108, 313–324 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  3. Chen, Q., Kawase, S.: On fuzzy values fuzzy reasoning. Fuzzy Sets and System 113, 237–251 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  4. Chen, Q., Ben, L., Li, X.: Topological properties of fuzzy valued metric spaces (I). Journal of Beijing University of Posts and Telecommunications 23, 16–20 (2000) (in Chinese)

    Google Scholar 

  5. Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York (1980)

    MATH  Google Scholar 

  6. Mizumoto, M.: Improvement of fuzzy controls (X). In: Proc. 12th Japan Fuzzy system Sym., pp. 359–365 (1996)

    Google Scholar 

  7. Li, J., Song, J.: Compatibility function based on t-operation (submitted for publication)

    Google Scholar 

  8. Li, J., Zhang, Q.: Continuity of fuzzy value and representation of compatibility function (submitted for publication)

    Google Scholar 

  9. Royden, H.L.: Real Analysis, 3rd edn. Macmillan, New York (1988)

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. School of Science, Communication University of China, Beijing, 100024, China

    Jun Li

  2. School of management and Economics, Beijing Institute of Technology, Beijing, 100081, China

    Qiang Zhang

Authors
  1. Jun Li
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  2. Qiang Zhang
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Editor information

Editors and Affiliations

  1. Guangzhou University, China

    Bingyuan Cao

  2. Chongqing University of Science and Technology, Chongqing, PR China

    Tai-Fu Li

  3. Hainan Normal University, Hainan, PR China

    Cheng-Yi Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Li, J., Zhang, Q. (2009). Continuity of Compatibility Function Based on T-Operation. In: Cao, B., Li, TF., Zhang, CY. (eds) Fuzzy Information and Engineering Volume 2. Advances in Intelligent and Soft Computing, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03664-4_70

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  • DOI: https://doi.org/10.1007/978-3-642-03664-4_70

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03663-7

  • Online ISBN: 978-3-642-03664-4

  • eBook Packages: EngineeringEngineering (R0)

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