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On Local Inclusion Degree of Intuitionistic Fuzzy Sets

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Rough Sets and Knowledge Technology (RSKT 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6954))

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Abstract

This paper mainly introduce the definition of local inclusion degree of IF sets in terms of the elementwise values, which is considered a locally determined inclusion degree. We then investigate a series of properties of the local inclusion degree. Furthermore, the measure of similarity between intuitionistic fuzzy sets is discussed on the basis of local inclusion degree.

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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. Atanassov, K.: Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag, Heidelberg (1999)

    Book  MATH  Google Scholar 

  3. Bustince, H., Burillo, P.: Structures on intuitionistic fuzzy relations. Fuzzy Sets and Systems 78, 293–303 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  4. Cornelis, C., Kerre, E.E.: Inclusion measures in intuitionistic fuzzy set theory. In: Nielsen, T.D., Zhang, N.L. (eds.) ECSQARU 2003. LNCS (LNAI), vol. 2711, pp. 345–356. Springer, Heidelberg (2003) (in Chinese)

    Chapter  Google Scholar 

  5. 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  MathSciNet  MATH  Google Scholar 

  6. Cornelis, C., Deschrijver, G., Kerre, E.E.: Classification of intuitionistic fuzzy implicators: an algebraic approach. In: Proceedings of 6th Joint Conference on Information Sciences, pp. 105–108 (2002)

    Google Scholar 

  7. Grzegorzewski, P., Mrowka, E.: Subsethood Measure for Intuitionistic Fuzzy Sets. In: Proceedings of 2004 IEEE International Conference on Fuzzy Systems, pp. 139–142 (2004)

    Google Scholar 

  8. Grzegorzewski, P.: On possible and necessary inclusion of intuionistic fuzzy sets. Information Sciences 181, 342–350 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  9. Kehagias, A., Konstantinidou, M.: L-fuzzy valued inclusion measure, L-fuzzy similarity and L-fuzzy distance. Fuzzy Sets and Systems 136, 313–332 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  10. Li, Y.H., Olson, D.L., Qin, Z.: Similarity measures between intuitionistic fuzzy (vague) sets: A comparative analysis. Pattern Recognition Letters 28, 278–285 (2007)

    Article  Google Scholar 

  11. Lin, L., Yuan, X.H.: A method of intuitionistic fuzzy resoning based on inclusion degree and similarity measure. Advances in Soft. Computing 40, 315–322 (2007)

    Article  MATH  Google Scholar 

  12. Liu, Y.H., Xiong, F.L.: Subsethood on Intuitionistic Fuzzy Sets. In: Proceedings of the First International Conference on Machine Learning and Cybernetics, pp. 1336–1339 (2002)

    Google Scholar 

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

    Google Scholar 

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Author information

Authors and Affiliations

  1. College of Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan, 610225, P.R. China

    Lei Zhou

Authors
  1. Lei Zhou
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Regina, Regina, S4S 0A2, Saskatchewan, Canada

    JingTao Yao

  2. Department of Applied Computer Science, University of Winnipeg, R3B 2E9, Winnipeg, Canada

    Sheela Ramanna

  3. Institute of Computer Science & Technology, Chongqing University of Posts and Telecommunications, 400065, Chongqing, P.R. China

    Guoyin Wang

  4. Chair of Computer Science, University of Rzeszów, Poland

    Zbigniew Suraj

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Zhou, L. (2011). On Local Inclusion Degree of Intuitionistic Fuzzy Sets. In: Yao, J., Ramanna, S., Wang, G., Suraj, Z. (eds) Rough Sets and Knowledge Technology. RSKT 2011. Lecture Notes in Computer Science(), vol 6954. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24425-4_58

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  • DOI: https://doi.org/10.1007/978-3-642-24425-4_58

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24424-7

  • Online ISBN: 978-3-642-24425-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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