Name
Abstract | ||
|---|---|---|
In this paper a method of defining commutative semicopulas from fuzzy negations is introduced. Some properties are investigated that lead to understand these semicopulas as non-associative generalizations of the Lukasiewicz t-norm. In particular, it is proved that some well known examples of copulas and t-norms can be obtained by this method. Moreover, any commutative semicopula constructed by this method can be always obtained from a negation N which is symmetric with respect to the diagonal. Then, those symmetric fuzzy negations N for which the corresponding semicopula is a copula are characterized. Also, several examples of symmetric negations N are given such that the corresponding semicopula is a t-norm. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.fss.2013.02.003 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
symmetric fuzzy negations n,non-associative generalization,fuzzy negation,commutative semicopula,construction method,symmetric negations n,commutative semicopulas,negation n,lukasiewicz t-norm,corresponding semicopula,copula,t norm | T-norm,Diagonal,Discrete mathematics,Negation,Commutative property,Copula (linguistics),Generalization,Fuzzy logic,Construction method,Mathematics | Journal |
Volume | ISSN | Citations |
226, | 0165-0114 | 7 |
PageRank | References | Authors |
0.63 | 13 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| I. Aguiló | 1 | 85 | 10.76 |
| J. Suòer | 2 | 18 | 1.69 |
| J. Torrens | 3 | 697 | 38.56 |