Title
A general class of triangular norm-based aggregation operators: quasi-linear T–S operators
Abstract
This paper generalizes the well-known exponential and linear convex T–S aggregation operators into a wider class of compensatory aggregation operators, built as the composition of an arbitrary quasi-linear mean with a t-norm and a t-conorm, which are called quasi-linear T–S operators. These new operators are compared with other existing ones, and their main properties, such as the existence of neutral or annihilator elements, are studied. In particular, the self-duality property is investigated, and a characterization of an important family of self-dual quasi-linear T–S operators is provided.
Year
DOI
Venue
2002
10.1016/S0888-613X(02)00064-6
International Journal of Approximate Reasoning
Keywords
Field
DocType
Aggregation operators,Compensatory operators,Quasi-linear means,Triangular norms and conorms
Discrete mathematics,Annihilator,Algebra,Constant coefficients,Regular polygon,Ordered weighted averaging aggregation operator,Operator norm,Operator (computer programming),Operator theory,Mathematics,Spectral theorem
Journal
Volume
Issue
ISSN
30
1
0888-613X
Citations 
PageRank 
References 
21
1.88
4
Authors
3
Name
Order
Citations
PageRank
Ana Pradera115916.09
Enric Trillas238770.95
Tomasa Calvo346844.21