Abstract
In this chapter, we study the relationships between discrete t-norms, i.e. t-norms on a finite chain, and t-norms on the unit interval. Firstly, we investigate when and how a discrete t-norm can be extended to a (continuous) t-norm on the unit interval. Secondly, we investigate when a discretization of a t-norm on the unit interval yields a discrete t-norm. Moreover, several classes of discrete t-norms are discussed.
Partially Supported by Grant VEGA 1/4064/97.
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De Baets, B., Mesiar, R. (2003). Discrete Triangular Norms. In: Rodabaugh, S.E., Klement, E.P. (eds) Topological and Algebraic Structures in Fuzzy Sets. Trends in Logic, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0231-7_16
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DOI: https://doi.org/10.1007/978-94-017-0231-7_16
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6378-6
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