Title :
Quantitative weights and aggregation
Author :
Calvo, Tomasa ; Mesiar, Radko ; Yager, Ronald R.
Author_Institution :
LOBFI Res. Group, Univ. of the Balearic Islands, Palma de Mallorca, Spain
Abstract :
Based on the strong idempotency of aggregation operators, quantitative weights are incorporated into the fusion process. Our general method is compared with some previous specific cases. More details about weighted aggregation based on some penalty function is given. Further, weighted integral based aggregation linked to quantifier-based fuzzy measures is investigated, especially weighted OWA operators. Several examples are included.
Keywords :
decision making; functional equations; fuzzy set theory; mathematical operators; Choquet integral; aggregation operators; cardinalities; decision making; integral based aggregation; penalty function; quantifier-based fuzzy measures; quantitative fusion procedure; quantitative weights; strong idempotency; triangular norm; weighted OWA operators; weighted aggregation; Computer science; Costs; Decision making; Frequency; Fuzzy control; Fuzzy systems; Information theory; Knowledge based systems; Mathematics; Open wireless architecture;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2003.822679