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Nonlinearity of human multi-criteria in decision-making

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Author(s): Andrzej Piegat | Wojciech Sałabun

Journal: Journal of Theoretical and Applied Computer Science
ISSN 2299-2634

Volume: 6;
Issue: 3;
Start page: 36;
Date: 2012;
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Keywords: Multi-criteria analysis | multi-criteria decision-analysis | non-linear multi-criteria | fuzzy multi-criteria | indicator of nonlinearity

ABSTRACT
In most cases, known methods of multi-criteria decision-making are used in order to make linear aggregation of human preferences. Authors of these methods seem not to take into account the fact that linear functional dependences rather rarely occur in real systems. Lin-ear functions rather imply a global character of multi-criteria. This paper shows several examples of human nonlinear multi-criteria that are purely local. In these examples, the nonlinear approach is used based on fuzzy logic. It allows for better understanding of how important is the non-linear aggregation of human multi-criteria. The paper contains also proposal of an indicator of nonlinearity degree of the criteria. The presented results are based on investigations and experiments realized by authors.

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