OWA operators defined on complete lattices

Authors:
I. Lizasoain;C. Moreno
Affiliations:
Departamento de Matemáticas, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain;Departamento de Matemáticas, Universidad Pública de Navarra, Campus de Arrosadía, 31006 Pamplona, Spain
Venue:
Fuzzy Sets and Systems
Year:
2013

Citing 8
Cited 0

On ordered weighted averaging aggregation operators in multicriteria decisionmaking

IEEE Transactions on Systems, Man and Cybernetics
Triangular norms on product lattices

Fuzzy Sets and Systems - Special issue on triangular norms
Weighted means based on triangular conorms

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on aggregation operators
A representation of t-norms in interval-valued L-fuzzy set theory

Fuzzy Sets and Systems
Type-1 OWA operators for aggregating uncertain information with uncertain weights induced by type-2 linguistic quantifiers

Fuzzy Sets and Systems
Characterizations of discrete Sugeno integrals as polynomial functions over distributive lattices

Fuzzy Sets and Systems
A class of aggregation functions encompassing two-dimensional OWA operators

Information Sciences: an International Journal
Aggregation functions on bounded partially ordered sets and their classification

Fuzzy Sets and Systems

Quantified Score

Hi-index	0.20

Visualization

Abstract

In this paper the concept of an ordered weighted average (OWA) operator is extended to any complete lattice endowed with a t-norm and a t-conorm. In the case of a complete distributive lattice it is shown to agree with a particular case of the discrete Sugeno integral. As an application, we show several ways of aggregating closed intervals by using OWA operators. In a complementary way, the notion of generalized Atanassov's operators is weakened in order to be extended to intervals contained in any lattice. This new approach allows us to build a kind of binary aggregation functions for complete lattices, including OWA operators.