Generating and counting finite FLew-chains

Many-valued logics are based on truth algebras that extend beyond the classical Boolean algebra. Such algebraic structures have given rise to several logical systems with a wide range of potential applications. FLew-algebras are relatively well studied, and previous studies have focused on counting the different instances that may exist of a given size. In this paper, we answer the same question for FLew-chains with a novel approach, effectively providing both an accessible and open-source algorithmic tool for generating and counting FLew-chains and an explicit numerical bound.

Recommended citation: Badia, Guillermo, Monego, Riccardo, Noguera, Carles, Paparella, Alberto, and Sciavicco, Guido. (2025). "Generating and counting finite FLew-chains." 33rd IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2025), Montpellier, France, 06-09 July 2025. 1(1).