Title :
Binary copulas as aggregation functions
Author :
Pap, Endre ; Szakal, Aniko
Author_Institution :
Singidunum Univ., Belgrade, Serbia
Abstract :
We present binary copulas or 2-copulas (copulas, shortly) as important aggregation function. Since generally copulas are non-associative operation we restrict on binary case, which is mostly used in the practice. After giving some introductory part on general aggregation functions we restrict on specific properties of copulas. We present important applications of copulas in the theory of probabilistic metric spaces, statistics, non-additive integrals. We present invariant copulas and their application in the theory of aggregation operators.
Keywords :
mathematical operators; probability; aggregation function; aggregation operator; binary copula; probabilistic metric space; Distribution functions; Educational institutions; Extraterrestrial measurements; Fuzzy sets; Integrated circuits; Probabilistic logic; Aggregation function; copula; triangle function; triangular norm;
Conference_Titel :
Computational Intelligence and Informatics (CINTI), 2014 IEEE 15th International Symposium on
Conference_Location :
Budapest
DOI :
10.1109/CINTI.2014.7028703