Title
On Some Properties And Comparative Analysis For Different Owa Monoids
Abstract
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
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 Jin111518.26
Martin Kalina25112.92
Radko Mesiar33778472.41
Gang Qian478463.77