4.5 Article

Copulas and fuzzy implications

Journal

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
Volume 117, Issue -, Pages 52-59

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2019.11.006

Keywords

Copula; Fuzzy implication

Funding

  1. project of Science and Technology Assistance Agency [APVV-18-0052]
  2. project of the Czech Grant Agency GACR [18-06915S]
  3. [VEGA 1/0614/18]

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We introduce a new method for constructing fuzzy implications based on arbitrary two copulas and some fuzzy implication. Our approach covers two well-known constructions of fuzzy implications based on an arbitrary single copula. We also discuss some properties of the proposed method and provide several interesting examples. (C) 2019 Elsevier Inc. All rights reserved.

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