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International Conference on Rough Sets and Current Trends in Computing

RSCTC 2004: Rough Sets and Current Trends in Computing pp 159–168Cite as

Considering Semantic Ambiguity and Indistinguishability for Values of Membership Attribute in Possibility-Based Fuzzy Relational Models

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3066))

Abstract

A possibility-based fuzzy relational model is proposed under considering semantic ambiguity and indistinguishability for values of membership attribute. In order to eliminate the semantic ambiguity, a membership attribute is attached to every attribute. This clarifies where each value of membership attributes comes from. What the values of membership attributes mean depends on the property of those attributes. In order to eliminate the indistinguishability for values of membership attribute, these values are expressed by possibility distributions on the interval [0,1]. This clarifies what effects an imprecise data value allowed for an attribute has on its value of membership attribute. Therefore, there is no semantic ambiguity and no indistinguishability for the values of membership attributes in the possibility-based fuzzy relational model.

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Author information

Authors and Affiliations

  1. Faculty of Management and Information Science, Josai International University, 1 Gumyo, Togane, Chiba, 283-8555, Japan

    Michinori Nakata

Authors
  1. Michinori Nakata
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Editor information

Editors and Affiliations

  1. Shimane University, 89-1 Enya-cho Izumo, 6938501, Shimane, Japan

    Shusaku Tsumoto

  2. Systems Research Institute, Polish Academy of Sciences, 01-447, Warsaw, Poland

    Roman Słowiński

  3. The Linnaeus Centre for Bioinformatics, Uppsala University, Uppsala, Sweden

    Jan Komorowski

  4. Institute of Computer Science, Polish Academy of Sciences, 01–237, Warsaw, Poland

    Jerzy W. Grzymała-Busse

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© 2004 Springer-Verlag Berlin Heidelberg

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Nakata, M. (2004). Considering Semantic Ambiguity and Indistinguishability for Values of Membership Attribute in Possibility-Based Fuzzy Relational Models. In: Tsumoto, S., Słowiński, R., Komorowski, J., Grzymała-Busse, J.W. (eds) Rough Sets and Current Trends in Computing. RSCTC 2004. Lecture Notes in Computer Science(), vol 3066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25929-9_18

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  • DOI: https://doi.org/10.1007/978-3-540-25929-9_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22117-3

  • Online ISBN: 978-3-540-25929-9

  • eBook Packages: Springer Book Archive

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