- author = "Petr Musilek and Rhea Guanlao and Guillermo Barreiro",
- title = "Genetic Programming of Fuzzy Aggregation Operations",
- journal = "Journal of Intelligent and Fuzzy Systems",
- year = "2005",
- volume = "16",
- number = "2",
- pages = "107--118",
- email = "musilek@ece.ualberta.ca",
- keywords = "genetic algorithms, genetic programming",
- ISSN = "1064-1246",
-
URL = "
http://content.iospress.com/articles/journal-of-intelligent-and-fuzzy-systems/ifs00253",
- size = "12 pages",
-
abstract = "Aggregation operations play an important role in
decision-making problems where a weighted combination
of several criteria is used to select an alternative
with the strongest support. In fuzzy set theory,
aggregation operations are usually modelled as
intersection, union, or as combination of both. The
particular form and algebraic properties of these
operations vary according to requirements for
compensation among the criteria and other
characteristics of the given decision-making situation.
Traditionally, only algebraically well-behaved
operations have been considered for this purpose. By
relaxing some algebraic constraints, more realistic
operations can be obtained that closely capture certain
features of human decision-making, such as preferences
and a limited level of detail.
proposes a method to generate fuzzy aggregation operations using genetic programming. It is shown that an evolutionary process, facilitated by genetic programming, has the capacity to generate new valid fuzzy aggregation operations and to reproduce existing ones. By varying process conditions, encoded in a fitness function, it is possible to obtain operations with different logical and algebraic properties. This approach, based solely on the axioms which define the desired class of operations, explores the space of possible functions and often leads to discovery of new operations. However, the proposed system can also be used to generate aggregation operations that fit a collected data set. This application is very important as it provides a powerful new tool for modelling and processing empirical data.",
- notes = "http://www.iospress.nl/html/10641246.php",
