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International Conference on Rough Sets and Current Trends in Computing

RSCTC 2002: Rough Sets and Current Trends in Computing pp 357–364Cite as

A Proposal of Probability of Rough Event Based on Probability of Fuzzy Event

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2475))

Abstract

Probability and fuzziness are different measures for dealing with different uncertainties in which they be able to be combined and considered as a complementary tool. In this paper, the relationship be-tween probability and fuzziness are discussed based on the process of perception. In probability, set theory is used to provide a language for modeling and describing random experiments. Here, as a generalization of crisp set, fuzzy set is used to model fuzzy event as defined by Zadeh. Similarly, rough set can be also used to represent rough event in terms of probability measure. Special attention will be given to conditional prob-ability of fuzzy event as well as conditional probability of rough event. Their several combinations of formulation and properties are defined.

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References

  1. Intan, R., Mukaidono, M., ‘Conditional Probability Relations in Fuzzy Relational Database’, Proceedings of RSCTC’00, LNAI 2005, Springer & Verlag, (2000), pp. 251–260.

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Author information

Authors and Affiliations

  1. Meiji University, Kawasaki-shi, Kanagawa-ken, Japan

    Rolly Intan & Masao Mukaidono

  2. Petra Christian University, Surabaya, Indonesia, 60236

    Rolly Intan

Authors
  1. Rolly Intan
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  2. Masao Mukaidono
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Editor information

Editors and Affiliations

  1. Penn State Great Valley School of Professional Graduate Studies, 30 East Swedesford Road, Malvern, PA, 19355, USA

    James J. Alpigini

  2. Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, MB, R3T 5V6, Canada

    James F. Peters

  3. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron

  4. Department of Systems and Information Engineering, Maebashi Institute of Technology, 460-1 Kamisadori-Cho, Maebashi-City, 371-0816, Japan

    Ning Zhong

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© 2002 Springer-Verlag Berlin Heidelberg

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Intan, R., Mukaidono, M. (2002). A Proposal of Probability of Rough Event Based on Probability of Fuzzy Event. In: Alpigini, J.J., Peters, J.F., Skowron, A., Zhong, N. (eds) Rough Sets and Current Trends in Computing. RSCTC 2002. Lecture Notes in Computer Science(), vol 2475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45813-1_47

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  • DOI: https://doi.org/10.1007/3-540-45813-1_47

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44274-5

  • Online ISBN: 978-3-540-45813-5

  • eBook Packages: Springer Book Archive

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