Copula as a Bridge Between Probability Theory and Fuzzy Logic
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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.
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
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