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Optimal Control of a Ball and Beam Nonlinear Model Based on Takagi-Sugeno Fuzzy Model Read chapter Read first chapter

2018 | Supplement | Chapter

Representing Uncertainty Regarding Satisfaction Degrees Using Possibility Distributions

Authors : Robin De Mol, Guy De Tré

Published in: Advances in Fuzzy Logic and Technology 2017

Publisher: Springer International Publishing

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Abstract

Evaluating flexible criteria on data leads to degrees of satisfaction. If a datum is uncertain, it can be uncertain to which degree it satisfies the criterion. This uncertainty can be modelled using a possibility distribution over the domain of possible degrees of satisfaction. In this work, we discuss the meaningfulness thereof by looking at the semantics of such a representation of the uncertainty. More specifically, it is shown that defuzzification of such a representation, towards usability in (multi-criteria) decision support systems, corresponds to expressing a clear attitude towards uncertainty (optimistic, pessimistic, cautious, etc.)

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previous chapter Convolution on Bounded Lattices
next chapter Triangular Expanding, A New Defuzzification Method on Ordered Fuzzy Numbers
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Metadata
Title
Representing Uncertainty Regarding Satisfaction Degrees Using Possibility Distributions
Authors
Robin De Mol
Guy De Tré
Copyright Year
2018
Book
Advances in Fuzzy Logic and Technology 2017

Print ISBN: 978-3-319-66829-1

Electronic ISBN: 978-3-319-66830-7

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-66830-7_53

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