Title :
Aggregating fuzzy implications based on OWA-operators
Author :
Benıtez, IÌbero ; Zanotelli, Rosana ; Reiser, R. ; Costa, Sandra ; Foss, Luciana ; Yamin, Abid
Author_Institution :
CDTEC, Univ. Fed. de Pelotas Pelotas, Pelotas, Brazil
Abstract :
This paper presents the fuzzy (S, N)- QL- and D-subimplication classes, which are obtained by OWA operators performed over the families of triangular subnorms and sub-conorms along with fuzzy negations. Since these classes of subim-plications are explicitly represented by such connectives, the corresponding (S, N)- QL- and D-subimplicatios are characterized by the generalized associativity and distributive properties together with extensions of the exchange and neutrality principles. As the main results, these families of subimplications extend related implications by preserving their corresponding properties.
Keywords :
fuzzy set theory; mathematical operators; D-subimplication classes; OWA-operators; QL-subimplication classes; exchange principles; fuzzy (S, N)-subimplication classes; fuzzy implication aggregation; fuzzy negations; generalized associativity properties; generalized distributive properties; neutrality principles; triangular subconorms; triangular subnorms; Aggregates; Boundary conditions; Conferences; Fuzzy logic; Image processing; Mathematical model; Open wireless architecture; OWA operators; fuzzy (sub)implication; fuzzy t-sub(co)norm;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2014 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4799-2073-0
DOI :
10.1109/FUZZ-IEEE.2014.6891821