Some methods to construct t-norms and t-conorms on bounded lattices

Article type: Research Article

Authors: Aşıcı, Emel^{; *}

Affiliations: Department of Software Engineering, Karadeniz Technical University, Faculty of Technology, Trabzon, Turkey

Correspondence: [*] Corresponding author. Emel Aşıcı. E-mail: emelkalin@hotmail.com.

Abstract: In this paper, we give construction methods for triangular norms (t-norms) and triangular conorms (t-conorms) on appropriate bounded lattices. Then, we compare our methods and well-known methods proposed in [2, 8, 19]. Finally, we give different construction methods for t-norms and t-conorms on an appropriate bounded lattice by using recursion. Also, we provide some examples to discuss introduced methods.

Keywords: Triangular norms, triangular conorms, ordinal sum, bounded lattice

DOI: 10.3233/JIFS-201899

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 6, pp. 10877-10892, 2021