Copula as a Bridge Between Probability Theory and Fuzzy Logic
Document Type
Book Chapter
Department or Administrative Unit
Computer Science
Publication Date
2-1-2017
Abstract
This work shows how dependence in many-valued logic and probability theory can be fused into one concept by using copulas and marginal probabilities. It also shows that the t-norm concept used in fuzzy logic is covered by this approach. This leads to a more general statement that axiomatic probability theory covers logic structure of fuzzy logic. This paper shows the benefits of using structures that go beyond the simple concepts of classical logic and set theory for the modeling of dependences.
Recommended Citation
Resconi, G., & Kovalerchuk, B. (2017). Copula as a Bridge Between Probability Theory and Fuzzy Logic. In V. Kreinovich (Ed.), Uncertainty Modeling (pp. 251–272). Springer. https://doi.org/10.1007/978-3-319-51052-1_15
Rights
© Springer International Publishing AG 2017
Comments
This book chapter was originally published in Uncertainty Modeling: Dedicated to Professor Boris Kovalerchuk on his Anniversary. The full-text article from the publisher can be found here.
Due to copyright restrictions, this article is not available for free download from ScholarWorks @ CWU.