New Approach to Fuzzy Decision Matrices

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

New Approach to Fuzzy Decision Matrices

Original language description

Decision matrices represent a common tool for modeling decision-making problems under risk. They describe how the decision-maker&apos;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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/GA14-02424S" target="_blank" >GA14-02424S: Methods of operations research for decision support under uncertainty</a><br>

Continuities

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

Publication year

2017

Confidentiality

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

Name of the periodical

Acta Polytechnica Hungarica

ISSN

1785-8860

e-ISSN

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Volume of the periodical

14

Issue of the periodical within the volume

5

Country of publishing house

HU - HUNGARY

Number of pages

18

Pages from-to

85-102

UT code for WoS article

000426127200006

EID of the result in the Scopus database

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