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A New Knowledge Measure of Information Carried by Intuitionistic Fuzzy Sets and Application in Data Classification Problem

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Information Systems Architecture and Technology: Proceedings of 36th International Conference on Information Systems Architecture and Technology – ISAT 2015 – Part IV

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 432))

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Abstract

Although there exist several measures for intuitionistic fuzzy sets (IFSs), many unreasonable cases made by the such measures can be observed in literature. The main aim of this paper is to present a new reliable measure of amount of knowledge for IFSs. First we define a new knowledge measure for IFSs and prove some properties of the proposed measure. We present a new entropy measure for IFSs as a dual measure to the proposed knowledge measure. Then we use some examples to illustrate that the proposed measures, though simple in concept and calculus, outperform the existing measures. Finally, we use the proposed knowledge measure for IFSs to deal with the data classification problem.

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Authors and Affiliations

  1. Department of Engineering Sciences, Gdynia Maritime University, Morska 83-87, 81-225, Gdynia, Poland

    Hoang Nguyen

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  1. Hoang Nguyen
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Correspondence to Hoang Nguyen .

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Editors and Affiliations

  1. Faculty of Computer Science and Manageme, Wrocław University of Technology, Wrocła, Wrocław, Poland

    Zofia Wilimowska

  2. Faculty of Computer Science and Manageme, Wrocław University of Technology, Wrocła, Wroclaw, Poland

    Leszek Borzemski

  3. Faculty of Computer Science and Manageme, Wrocław University of Technology, Wrocła, Wrocław, Poland

    Adam Grzech

  4. Faculty of Computer Science and Manageme, Wrocław University of Technology, Wrocła, Wrocław, Poland

    Jerzy Świątek

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Nguyen, H. (2016). A New Knowledge Measure of Information Carried by Intuitionistic Fuzzy Sets and Application in Data Classification Problem. In: Wilimowska, Z., Borzemski, L., Grzech, A., Świątek, J. (eds) Information Systems Architecture and Technology: Proceedings of 36th International Conference on Information Systems Architecture and Technology – ISAT 2015 – Part IV. Advances in Intelligent Systems and Computing, vol 432. Springer, Cham. https://doi.org/10.1007/978-3-319-28567-2_19

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  • DOI: https://doi.org/10.1007/978-3-319-28567-2_19

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-28567-2

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