IDEAS home Printed from https://ideas.repec.org/a/wsi/ijitdm/v16y2017i02ns0219622014500746.html
   My bibliography  Save this article

Fuzzy Systems Based on Universal Triple I Method and Their Response Functions

Author

Listed:
  • Yiming Tang

    (Information and Communication Engineering, Postdoctoral Research Station, Hefei University of Technology, Heifei 230009, China2AnHui Province Key Laboratory of Affective, Computing and Advanced Intelligent Machine, School of Computer and Information, Hefei University of Technology, Hefei 230009, China)

  • Fuji Ren

    (AnHui Province Key Laboratory of Affective, Computing and Advanced Intelligent Machine, School of Computer and Information, Hefei University of Technology, Hefei 230009, China3Institute of Technology and Science, The University of Tokushima, Minami Josanjima, Tokushima 770-8506, Japan)

Abstract

The fuzzy systems based on the universal triple I method are investigated, and then their response functions are analyzed. First, the conclusions show that 100 fuzzy systems via the universal triple I method are approximately interpolation functions, which can be used in practical systems, and that 90 ones are approximately fitted functions, which may be usable. Second, as its special cases, the Compositional Rule of Inference (CRI) method and the triple I method are discussed, with the results that 19 fuzzy systems via the CRI method and 2 ones via the triple I method are practicable. Therefore, the universal triple I method has larger effective choosing space, which can obtain more usable fuzzy systems than the others. Lastly, it is found that the first implication and second implication, respectively, embody the function of rule base and reasoning mechanism, further demonstrating the reasonability of the universal triple I method.

Suggested Citation

  • Yiming Tang & Fuji Ren, 2017. "Fuzzy Systems Based on Universal Triple I Method and Their Response Functions," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 443-471, March.
    • Handle: RePEc:wsi:ijitdm:v:16:y:2017:i:02:n:s0219622014500746
    DOI: 10.1142/S0219622014500746
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219622014500746
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0219622014500746?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Xiao-Ying Tai & Li-Dong Wang & Qin Chen & Ren Fuji & Kita Kenji, 2009. "A New Method Of Medical Image Retrieval Based On Color–Texture Correlogram And Gti Model," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 8(02), pages 239-248.
    2. Fuji Ren & Hongchi Shi, 2002. "A Multi-Engine Translation Approach To Machine Translation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 1(02), pages 349-366.
    3. Fuji Ren & Kang Yen, 2005. "Estimating The Minimum Entropy Of Chinese And Japanese Languages," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(04), pages 679-689.
    4. F. J. Ren, 2005. "Automatic Abstracting Important Sentences," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 141-152.
    5. Zhong Zhang & Hiroshi Toda & Hisanaga Fujiwara & Fuji Ren, 2006. "Translation Invariant Ri-Spline Wavelet And Its Application On De-Noising," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 353-378.
    6. Zhi-Xin Su, 2011. "A Hybrid Fuzzy Approach To Fuzzy Multi-Attribute Group Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(04), pages 695-711.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chun-Hao Chen & Tzung-Pei Hong & Yeong-Chyi Lee & Vincent S. Tseng, 2015. "Finding Active Membership Functions for Genetic-Fuzzy Data Mining," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 1215-1242, November.
    2. Michael C. Nwogugu, 2020. "Decision-Making, Sub-Additive Recursive "Matching" Noise And Biases In Risk-Weighted Stock/Bond Index Calculation Methods In Incomplete Markets With Partially Observable Multi-Attribute Pref," Papers 2005.01708, arXiv.org.
    3. Fahim ul Amin & Qian-Li Dong & Katarzyna Grzybowska & Zahid Ahmed & Bo-Rui Yan, 2022. "A Novel Fuzzy-Based VIKOR–CRITIC Soft Computing Method for Evaluation of Sustainable Supply Chain Risk Management," Sustainability, MDPI, vol. 14(5), pages 1-15, February.
    4. Yiming Tang & Fuji Ren, 2016. "Variable Differently Implicational Inference for R- and S-Implications," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1235-1264, September.
    5. Mehdi KESHAVARZ GHORABAEE & Edmundas Kazimieras ZAVADSKAS & Maghsoud AMIRI & Jurgita ANTUCHEVICIENE, 2016. "A New Method Of Assessment Based On Fuzzy Ranking And Aggregated Weights (Afraw) For Mcdm Problems Under Type-2 Fuzzy Environment," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(1), pages 39-68.
    6. Paulo Cesar Schotten & Danielle Costa Morais, 2019. "A group decision model for credit granting in the financial market," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 5(1), pages 1-19, December.
    7. Juan-Juan Peng & Jian-Qiang Wang & Xiao-Hui Wu, 2016. "Novel Multi-criteria Decision-making Approaches Based on Hesitant Fuzzy Sets and Prospect Theory," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 621-643, May.
    8. Changqin Quan & Fuji Ren, 2016. "Visualizing Emotions from Chinese Blogs by Textual Emotion Analysis and Recognition Techniques," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 215-234, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijitdm:v:16:y:2017:i:02:n:s0219622014500746. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijitdm/ijitdm.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.