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

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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

Počet stran výsledku

6

Strana od-do

626-631

Název nakladatele

Gaudeamus

Místo vydání

Hradec Králové

Místo konání akce

Hradec Králové

Datum konání akce

13. 9. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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