Fuzzy Decision Matrices Viewed as Fuzzy Rule-Based Systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33159916" target="_blank" >RIV/61989592:15310/16:33159916 - isvavai.cz</a>

Výsledek na webu

<a href="http://mme2016.tul.cz/conferenceproceedings/mme2016_conference_proceedings.pdf" target="_blank" >http://mme2016.tul.cz/conferenceproceedings/mme2016_conference_proceedings.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Fuzzy Decision Matrices Viewed as Fuzzy Rule-Based Systems

Popis výsledku v původním jazyce

A decision matrix represents a particular problem of decision making under risk. Elements of the matrix express the consequences if a decision-maker chooses a particular alternative and a particular state of the world occurs. Assuming the probabilities of the states of the world are known, alternatives are compared on the basis of the expected values and variances of their consequences. In practice, the states of the world are often described only vaguely; they are expressed by fuzzy sets on the universal set on which the probability distribution is given. In literature, the common approach in such a case consists in computing crisp probabilities of the fuzzy states of the world by formula proposed by Zadeh. In the paper, we first discuss the problems connected with the common approach. Consequently, we introduce a new approach, in which a decision matrix with fuzzy states of the world does not describe discrete random variables but fuzzy rule-based systems. We illustrate the problem by examples.

Název v anglickém jazyce

Fuzzy Decision Matrices Viewed as Fuzzy Rule-Based Systems

Popis výsledku anglicky

A decision matrix represents a particular problem of decision making under risk. Elements of the matrix express the consequences if a decision-maker chooses a particular alternative and a particular state of the world occurs. Assuming the probabilities of the states of the world are known, alternatives are compared on the basis of the expected values and variances of their consequences. In practice, the states of the world are often described only vaguely; they are expressed by fuzzy sets on the universal set on which the probability distribution is given. In literature, the common approach in such a case consists in computing crisp probabilities of the fuzzy states of the world by formula proposed by Zadeh. In the paper, we first discuss the problems connected with the common approach. Consequently, we introduce a new approach, in which a decision matrix with fuzzy states of the world does not describe discrete random variables but fuzzy rule-based systems. We illustrate the problem by examples.

Druh

D - Stať ve sborníku

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

<a href="/cs/project/GA14-02424S" target="_blank" >GA14-02424S: Metody operačního výzkumu pro podporu rozhodování v podmínkách neurčitosti</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název statě ve sborníku

34th International Conference Mathematical Methods in Economics MME 2016 Conference Proceedings

ISBN

978-80-7494-296-9

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

641-646

Název nakladatele

Technická univerzita v Liberci

Místo vydání

Liberec

Místo konání akce

Liberec

Datum konání akce

6. 9. 2016

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000385239500110