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Limitations of quantitative operator fuzzy logic

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Abstract

Quantitative models of operator fuzzy logic are discussed. It is proved that there is a unique real polynomial function that can be used to characterize the composition operation between fuzzy operators in a quantitative model of operator fuzzy logic. Based on this polynomial function, we redefine a new quantitative operator fuzzy logic NOFL by revising the existing suggested alternatives. It can be seen that it is hard for a quantitative model of operator fuzzy logic to be both theoretically sound and intuitively acceptable.

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Authors and Affiliations

  1. Department of Computer Science, Northeast Normal University, 130024, Changchun, China

    Ansheng Deng

  2. School of Traffic Engineering, Jilin University of Technology, 130025, Changchun, China

    Liying Zhang

Authors
  1. Ansheng Deng
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  2. Liying Zhang
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 69703010).

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Deng, A., Zhang, L. Limitations of quantitative operator fuzzy logic. Sci. China Ser. E-Technol. Sci. 41, 608–616 (1998). https://doi.org/10.1007/BF02917044

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  • DOI: https://doi.org/10.1007/BF02917044

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