Abstract
A \(\sup -T\) composition (where T is a triangular norm) of two fuzzy implications can be again a fuzzy implication. Motivated by this fact, in this contribution, we consider the Bandler-Kohout subproduct (BKS), which is a composition of fuzzy relations based on the infimum. We verify when such a composition of fuzzy connectives can provide a fuzzy implication and we investigate its properties. Further, we consider BKS as a method of constructing a new fuzzy implication from given t-norms or t-conorms. Moreover, we study essential properties of possibly built implications.
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The author would like to thank anonymous reviewers for their valuable comments and remarks.
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Miś, K. (2022). Construction of Fuzzy Implications from the Bandler-Kohout Subproduct. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1601. Springer, Cham. https://doi.org/10.1007/978-3-031-08971-8_19
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DOI: https://doi.org/10.1007/978-3-031-08971-8_19
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