Decision matrices under risk with fuzzy states of the world and underlying discrete fuzzy probability measure

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583404" target="_blank" >RIV/61989592:15310/17:73583404 - isvavai.cz</a>
Result on the web
<a href="http://fim2.uhk.cz/mme/conferenceproceedings/mme2017_conference_proceedings.pdf" target="_blank" >http://fim2.uhk.cz/mme/conferenceproceedings/mme2017_conference_proceedings.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Decision matrices under risk with fuzzy states of the world and underlying discrete fuzzy probability measure
Original language description
The problem of decision-making under risk can be expressed by a decision matrix whose elements express the outcomes if a decision-maker chooses the particular alternative and the particular state of the world occurs. In practice, the states of the world can be described only vaguely. Therefore, in such a case we dealt with the decision matrix with fuzzy states of the world that were modelled by fuzzy sets on the universal set on which the probability distribution is given. However, the underlying probability distribution itself can be known also only vaguely. In such a case it is appropriate to apply a fuzzy probability measure. In the paper, we consider the case where the set of elementary events is finite and the probabilities of elementary events are fuzzy. We compare two approaches to expression of the expected values and the variances of the outcomes of alternatives. The first approach is inspired by the probability of a fuzzy event proposed by Zadeh. The second one is based on treating the decision matrix as a fuzzy rule bases system. We illustrate the problem by a numerical example from economic practice.
Czech name
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Czech description
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Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
35th International Conference Mathematical Methods in Economics MME 2017 Conference Proceedings
ISBN
978-80-7435-678-0
ISSN
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e-ISSN
neuvedeno
Number of pages
6
Pages from-to
626-631
Publisher name
Gaudeamus
Place of publication
Hradec Králové
Event location
Hradec Králové
Event date
Sep 13, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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