Crips sets, type-1, and type-2 fuzzy sets in the context of linguistic variables and rule-based systems for cognitive computing

Article type: Research Article

Authors: Cortés-Antonio, Prometeo^{; *} | Valdez, Fevrier | Melin, Patricia | Castillo, Oscar

Affiliations: Tijuana Institute of Technology/TecNM, Tijuana, México

Correspondence: [*] Corresponding author. Prometeo Cortés-Antonio, Tijuana Institute of Technology/TecNM, Tijuana, México. E-mail: prometeo.cortes@tectijuana.edu.mx.

Abstract: The computing with words is an approach that has unique characteristics and advantages to model cognitive processes, this article explains the relationship and difference between type-1 and type-2 fuzzy sets in the definition of linguistic values. Here, we perform a compressive review and justify because type-2 sets are more appropriate in modeling linguistic values, and a heuristic procedure by examples is carried out to define linguistic values on a continuous variable. A visual comparison of a rule-based system, when linguistic values use crips, type-1, and type-2 fuzzy sets in modeling a cognitive system.

Keywords: Type-2 and type-1 fuzzy sets, linguistic values and variables, rule-based systems, cognitive computing

DOI: 10.3233/JIFS-219368

Journal: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-11, 2024