New Approach to Fuzzy Decision Matrices
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583741" target="_blank" >RIV/61989592:15310/17:73583741 - isvavai.cz</a>
Výsledek na webu
<a href="http://www.uni-obuda.hu/journal/Rotterova_Pavlacka_76.pdf" target="_blank" >http://www.uni-obuda.hu/journal/Rotterova_Pavlacka_76.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.12700/APH.14.5.2017.5.6" target="_blank" >10.12700/APH.14.5.2017.5.6</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
New Approach to Fuzzy Decision Matrices
Popis výsledku v původním jazyce
Decision matrices represent a common tool for modeling decision-making problems under risk. They describe how the decision-maker's evaluations of the considered alternatives depend on the fact which of the possible and mutually disjoint states of the world will occur. The probabilities of the states of the world are assumed to be known. The alternatives are usually compared on the basis of the expected values and the variances of their evaluations. However, the states of the world as well as the alternatives evaluations are often described only vaguely. Therefore, we consider the following problem: the states of the world are modeled by fuzzy sets defined on the universal set on which the probability distribution is given, and the evaluations of the alternatives are expressed by fuzzy numbers. We show that the common approach to this problem, based on employing crisp probabilities of the fuzzy states of the world computed by the formula proposed by Zadeh, is not appropriate. Therefore, we introduce a new approach in which a fuzzy decision matrix does not describe discrete random variables but fuzzy rule bases. The problem is illustrated by an example.
Název v anglickém jazyce
New Approach to Fuzzy Decision Matrices
Popis výsledku anglicky
Decision matrices represent a common tool for modeling decision-making problems under risk. They describe how the decision-maker's evaluations of the considered alternatives depend on the fact which of the possible and mutually disjoint states of the world will occur. The probabilities of the states of the world are assumed to be known. The alternatives are usually compared on the basis of the expected values and the variances of their evaluations. However, the states of the world as well as the alternatives evaluations are often described only vaguely. Therefore, we consider the following problem: the states of the world are modeled by fuzzy sets defined on the universal set on which the probability distribution is given, and the evaluations of the alternatives are expressed by fuzzy numbers. We show that the common approach to this problem, based on employing crisp probabilities of the fuzzy states of the world computed by the formula proposed by Zadeh, is not appropriate. Therefore, we introduce a new approach in which a fuzzy decision matrix does not describe discrete random variables but fuzzy rule bases. The problem is illustrated by an example.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10102 - Applied mathematics
Návaznosti výsledku
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)
Ostatní
Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Acta Polytechnica Hungarica
ISSN
1785-8860
e-ISSN
—
Svazek periodika
14
Číslo periodika v rámci svazku
5
Stát vydavatele periodika
HU - Maďarsko
Počet stran výsledku
18
Strana od-do
85-102
Kód UT WoS článku
000426127200006
EID výsledku v databázi Scopus
—