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Unbiased Guess: A Concept to Cope with Fuzzy and Random Parameters

Obiettivo

Any risk analysis dealing with the transport of radionuclides from a radioactive waste repository on the basis of deterministic equations suffers from two severe problems. Firstly, all processes in reality are random in nature and, secondly, the data basis and the knowledge about the relevant processes will never be complete. The aim of the study is to investigate the applicability of fuzzy set theory in decision making and the potential of information theory in this context. Since ambiguity in the valuation of models and model parameters represents the main obstacle for a consent about the results, it seems very promising to apply a kind of maximum entropy method, the "method of unbiased guess", in order to deal with incomplete knowledge. While the incorporation of randomness into this approach is straightforward adequate methods have to be developed in order to deal with incomplete knowledge or subjective quantities (i.e. expert judgement). The main aim of the study is to propose a theoretically well-founded formalism serving this purpose. The capability of this formation will be demonstrated on a non-trivial migration problem.
Any risk analysis dealing with the transport of radionuclides from a radioactive waste repository on the basis of deterministic equations suffers from 2 severe problems. Firstly, all processes in reality are random in nature and, secondly, the data basis and the knowledge about the revelant process will never be complete. The aim of the study is to investigate the applicability of fuzzy set theory in decision making and the potential of information theory in this context. Since ambiguity in the valuation of models and model parameters represents the main obstacle for a consent about the results, it seems very promising to apply a kind of maximum entropy method, the method of unbiased guess, in order to deal with incomplete knowledge. While the incorporation of randomness into this approach is straightforward, adequate methods have to be developed in order to deal with incomplete knowledge or subjective quantities (ie, expert judgement). The main aim of the study is to propose a theoretically well founded formalism serving this purpose. The capability of this formalism will be demonstrated on a nontrivial migration problem.

The principle drawbacks have been completed using probability or fuzzy theory in risk analysis and decision making dealing with the transport of radionuclides from a radioactive waste repository. A method for the unambiguous choice of the characterizing function of the parameters seems to be a generalized maximum entropy method, the method of unbiased guess. Some measures of uncertainty are compiled, whose maximization or minimization may lead to a useful strategy in defining the characterizing functions.
Work programme:

1. Compilation of the relevant aspects of information theory. Special emphasis is put onto the method of unbiased guess and its theoretical foundation.
2. Discussion of the problems of geochemical modelling in risk assessments with respect to uncertainty using probability density functions and the theory of fuzzy sets.
3. Development of a formalism for a consistent and unambiguous incorporation of incomplete knowledge employing the method of unbiased guess.
4. Demonstration of the applicability of the formalism using a simulated migration problem as a test case.
5. Documentation
6. Project coordination

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Coordinatore

Brenk Systemplanung
Contributo UE
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Indirizzo
Heinrichsallee 38
52062 Aachen
Germania

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