Article ID: | iaor20123440 |
Volume: | 195 |
Issue: | 1 |
Start Page Number: | 261 |
End Page Number: | 276 |
Publication Date: | May 2012 |
Journal: | Annals of Operations Research |
Authors: | Ramk Jaroslav, Vlach Milan |
Keywords: | aggregation, fuzzy programming, Programming (convex) |
In this paper triangular norms and conorms are introduced and suitable definitions and properties are mentioned. Then, aggregation functions and their basic properties are defined. The averaging aggregation operators are defined and some interesting properties are derived. Moreover, we have extended concave and quasiconcave functions introducing t‐quasiconcave and upper and lower starshaped functions. The main results concerning aggregation of generalized concave functions are presented and some extremal properties of compromise decisions by adopting aggregation operators are derived and discussed.