Fuzzy Decision Matrices in Case of a Discrete Underlying Fuzzy Probability Measure

Kód výsledku v IS VaVaI

RIV/61989592:15310/17:73582805 - isvavai.cz

Výsledek na webu

http://www.springer.com/us/book/9783319668260

DOI - Digital Object Identifier

10.1007/978-3-319-66827-7_12

Jazyk výsledku

angličtina

Název v původním jazyce

Fuzzy Decision Matrices in Case of a Discrete Underlying Fuzzy Probability Measure

Popis výsledku v původním jazyce

Decision matrices represent a common tool for solving decision-making problems under risk. Elements of the matrix express the outcomes if a decision-maker chooses the particular alternative and the particular state of the world occurs. We deal with the problem of extension of a decision matrix to the case of fuzzy states of the world and fuzzy outcomes of alternatives. We consider the approach based on the idea that a fuzzy decision matrix determines a collection of fuzzy rule-based systems. The aim of the paper is to study extension of this approach to the case where the states of the world are fuzzy sets on the finite universal set and the probabilities of elementary events are determined by a tuple of fuzzy probabilities. We derive the formulas for computations of the fuzzy expected values and fuzzy variances of the outcomes of alternatives, based on which the alternatives can be compared.

Název v anglickém jazyce

Fuzzy Decision Matrices in Case of a Discrete Underlying Fuzzy Probability Measure

Popis výsledku anglicky

Decision matrices represent a common tool for solving decision-making problems under risk. Elements of the matrix express the outcomes if a decision-maker chooses the particular alternative and the particular state of the world occurs. We deal with the problem of extension of a decision matrix to the case of fuzzy states of the world and fuzzy outcomes of alternatives. We consider the approach based on the idea that a fuzzy decision matrix determines a collection of fuzzy rule-based systems. The aim of the paper is to study extension of this approach to the case where the states of the world are fuzzy sets on the finite universal set and the probabilities of elementary events are determined by a tuple of fuzzy probabilities. We derive the formulas for computations of the fuzzy expected values and fuzzy variances of the outcomes of alternatives, based on which the alternatives can be compared.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

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

Advances in Fuzzy Logic and Technology 2017

ISBN

978-3-319-66826-0

ISSN

—

e-ISSN

neuvedeno

Počet stran výsledku

9

Strana od-do

129-137

Název nakladatele

Springer

Místo vydání

Heidelberg

Místo konání akce

Varšava

Datum konání akce

11. 9. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—