Aggregation functions and generalized convexity in fuzzy optimization and decision making

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...

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Bibliographic Details
Published in:Annals of operations research 2012-05, Vol.195 (1), p.261-276
Main Authors: Ramík, Jaroslav, Vlach, Milan
Format: Article
Language:English
Subjects:
Agglomeration
Business and Management
Combinatorics
Decision making
Euclidean space
Fuzzy
Fuzzy logic
Fuzzy set theory
Norms
Operations research
Operations Research/Decision Theory
Operators
Optimization
Studies
Theory of Computation
Variables
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Summary: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.
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-011-0965-5