An Atanassov’s intuitionistic fuzzy reasoning model

Article type: Research Article

Authors: Gabroveanu, Mihai | Iancu, Ion^* | Coşulschi, Mirel

Affiliations: Department of Computer Science, University of Craiova, Craiova, Romania

Correspondence: [*] Corresponding author. Ion Iancu, Department of Computer Science, University of Craiova, 13 A.I. Cuza Street, Craiova, Romania. Tel.: +40 251 413728; Fax: +40 251 412673; E-mail: i_iancu@yahoo.com.

Abstract: The task of the standard Mamdani fuzzy logic controller is to find a crisp control action from the fuzzy rule-base and from a set of crisp inputs. In this paper we modify this controller in order to work with Atanassov’s intuitionistic fuzzy sets and to activate a set of rules having the same conclusion. Usually, the inference rules used in a fuzzy logic controller are given by a domain expert; in our system, these rules are automatically induced as fuzzy association rules starting from a training set. The fuzzy confidence value associated with each rule is used to obtain the fuzzy set inferred by our system.

Keywords: Fuzzy logic controller, Atanassov’s intuitionistic fuzzy sets, t-norm, implication, association rules

DOI: 10.3233/IFS-151738

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 117-128, 2016