DocumentCode
1129768
Title
Copula-Like Operations on Finite Settings
Author
Mayor, Gaspar ; Suner, Jaume ; Torrens, Joan
Author_Institution
Dept. of Math. & Comput. Sci., Univ. of the Balearic Islands, Illes Balears, Spain
Volume
13
Issue
4
fYear
2005
Firstpage
468
Lastpage
477
Abstract
This paper deals with discrete copulas considered as a class of binary aggregation operators on a finite chain. A representation theorem by means of permutation matrices is given. From this characterization, we study the structure of associative discrete copulas and a theorem of decomposition of any discrete copula in terms of associative discrete copulas is obtained. Finally, some aspects concerning their extension to copulas are dealt with.
Keywords
fuzzy logic; fuzzy set theory; statistical distributions; associative discrete copula; binary aggregation operators; finite chain; fuzzy logic; fuzzy sets; permutation matrices; Computer science; Concrete; Distribution functions; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Mathematics; Matrix decomposition; Performance evaluation; Uncertainty; Aggregation operator; copula; discrete binary operation; divisibility; permutation matrix; triangular norm;
fLanguage
English
Journal_Title
Fuzzy Systems, IEEE Transactions on
Publisher
ieee
ISSN
1063-6706
Type
jour
DOI
10.1109/TFUZZ.2004.840129
Filename
1492400
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