On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Noncommutative self-identity aggregation
Fuzzy Sets and Systems
Generation of weighting triangles associated with aggregation functions
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Fuzzy Reasoning in Decision Making and Optimization
Fuzzy Reasoning in Decision Making and Optimization
Aggregation operators: properties, classes and construction methods
Aggregation operators
On the relevance of some families of fuzzy sets
Fuzzy Sets and Systems
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation Functions (Encyclopedia of Mathematics and its Applications)
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
A coloring fuzzy graph approach for image classification
Information Sciences: an International Journal
| Hi-index | 0.20 |
In this paper we analyze the notion of family of aggregation operators (FAO), also refereed to as extended aggregation functions (EAF), i.e., a set of aggregation operators defined in the unit interval which aggregate several input values into a single output value. In particular, we address the key issue of the relationship that should hold between the operators in a family in order to understand that they properly define a consistent FAO. We focus on the idea of strict stability of a family of aggregation operators in order to propose an operative notion of consistency between operators of such a family. In this way, robustness of the aggregation process can be guaranteed. Some strict stability definitions for FAOs are proposed, leading to a classification of the main aggregation operators in terms of the properties they satisfy. Furthermore, we apply this approach to analyze the stability of some families of aggregation operators based on weights.