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Truth-value transmittal fuzzy reasoning interpolator

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Abstract

In this paper, we firstly associate fuzzy reasoning algorithm with the interpolation algorithm and discuss the limitation of defuzzification methods used commonly in the fuzzy reasoning algorithm. Secondly, we give a new fuzzy reasoning algorithm in case of single input, called the truth-value transmittal method, and discuss its properties. Finally, we analyze the rationality to adopy the truth-value transmittal method as the defuzzification method of full implication triple I method, and show that although CRI and triple I fuzzy reasoning method are different from fuzzy output set, they are uniform finally under the truth-value transmittal defuzzification method.

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Authors and Affiliations

  1. Department of Computer Science and Technology, Beijing Normal University, 100875, Beijing, China

    Jianping Yan

  2. Department of Geography, Hong Kong Chinese University, Hong Kong

    Yee Leung

Authors
  1. Jianping Yan
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  2. Yee Leung
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Correspondence to Jianping Yan.

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Yan, J., Leung, Y. Truth-value transmittal fuzzy reasoning interpolator. Sci China Ser F 48, 737–746 (2005). https://doi.org/10.1360/00yf0068

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  • DOI: https://doi.org/10.1360/00yf0068

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