Name
Abstract | ||
|---|---|---|
This paper deals with monotonic binary operations F: [0, 1]2 → [0, 1] with the property (called locally internal property) that the value at any point (x, y) is always one of its arguments x, y. After stating a theorem that characterizes this kind of operations, some special cases are studied in detail by considering additional properties of the operation: commutativity, existence of a neutral element and associativity. In case of locally internal, associative monotonic operations with neutral element, a characterization theorem gives an improvement of a well-known theorem of Czogala and Drewniak on idempotent, associative and increasing operations with neutral element, as well as an improvement of a characterization theorem for left (and right) continuous, idempotent uninorms. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0165-0114(02)00430-X | Fuzzy Sets and Systems |
Keywords | Field | DocType |
special case,internal monotonic operation,idempotent uninorms,additional property,paper deal,neutral element,internal property,monotonic binary operations f,well-known theorem,characterization theorem,associative monotonic operation,monotonicity,associativity,monotone operator,binary operation,commutativity | Monotonic function,Discrete mathematics,Associative property,Commutative property,Fuzzy set,Preference theory,Idempotence,Binary operation,Mathematics | Journal |
Volume | Issue | ISSN |
137 | 1 | Fuzzy Sets and Systems |
Citations | PageRank | References |
38 | 2.58 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Javier Martín | 1 | 63 | 11.17 |
| G. Mayor | 2 | 267 | 35.38 |
| J. Torrens | 3 | 697 | 38.56 |