Abstract | ||
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We study the properties of OWA multiplication monoid. By introducing and-accumulation vectors of OWA operators, we consider the set of all n-dimensional OWA operators as a lattice. Then, we analyze some monotonicity properties of OWA operators based on an ordering induced by and-accumulation vectors. We also show that the lattice-theoretical operations are a kind of counterpart of the OWA multiplication monoid (and its dual, additive monoid). An example of using the OWA multiplication monoid and the lattice-theoretical structure in decision making problem is provided. |
Year | DOI | Venue |
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2017 | 10.1002/int.21885 | INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS |
Field | DocType | Volume |
Monotonic function,Algebra,Lattice (order),Monoid,Multiplication,Operator (computer programming),Mathematics | Journal | 32 |
Issue | ISSN | Citations |
11 | 0884-8173 | 6 |
PageRank | References | Authors |
0.52 | 11 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
LeSheng Jin | 1 | 115 | 18.26 |
Martin Kalina | 2 | 51 | 12.92 |
Radko Mesiar | 3 | 3778 | 472.41 |
Gang Qian | 4 | 784 | 63.77 |