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  • 标题:Triangular Fuzzy-Rough Set Based Fuzzification of Fuzzy Rule-Based Systems
  • 本地全文:下载
  • 作者:Janusz T. Starczewski ; Piotr Goetzen ; Christian Napoli
  • 期刊名称:Journal of Artificial Intelligence and Soft Computing Research
  • 电子版ISSN:2083-2567
  • 出版年度:2020
  • 卷号:10
  • 期号:4
  • 页码:271-285
  • DOI:10.2478/jaiscr-2020-0018
  • 出版社:Walter de Gruyter GmbH
  • 摘要:In real-world approximation problems, precise input data are economically expensive. Therefore, fuzzy methods devoted to uncertain data are in the focus of current research. Consequently, a method based on fuzzy-rough sets for fuzzification of inputs in a rule-based fuzzy system is discussed in this paper. A triangular membership function is applied to describe the nature of imprecision in data. Firstly, triangular fuzzy partitions are introduced to approximate common antecedent fuzzy rule sets. As a consequence of the proposed method, we obtain a structure of a general (non-interval) type-2 fuzzy logic system in which secondary membership functions are cropped triangular. Then, the possibility of applying so-called regular triangular norms is discussed. Finally, an experimental system constructed on precise data, which is then transformed and verified for uncertain data, is provided to demonstrate its basic properties.
  • 关键词:general type-2 fuzzy logic systems; fuzzy-rough fuzzification; regular type-2 t-norms; cropped triangular secondary membership functions
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