Ordering of fuzzy quantities with respect to a fuzzy benchmark – how the shape of the fuzzy benchmark and the choice of distance / similarity affect the ordering

Kód výsledku v IS VaVaI

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Výsledek na webu

<a href="https://mme2018.fm.vse.cz/wp-content/uploads/2018/09/MME2018-Electronic_proceedings.pdf" target="_blank" >https://mme2018.fm.vse.cz/wp-content/uploads/2018/09/MME2018-Electronic_proceedings.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Ordering of fuzzy quantities with respect to a fuzzy benchmark – how the shape of the fuzzy benchmark and the choice of distance / similarity affect the ordering

Popis výsledku v původním jazyce

To order several outputs of a model represented by fuzzy numbers, we can define a reference outcome of the model called benchmark (e.g. a fuzzy singleton when ideals are used as benchmarks). Then the distance (or similarity) between this reference outcome and each of the fuzzy outputs is used for the ordering of the outputs of a model. In many cases, however, the benchmark is represented by a fuzzy number i.e. when an expert estimate of the benchmark is given, or when predictions of future values are considered. This paper investigates the consequences of using fuzzy benchmarks for the ordering of fuzzy numbers. The paper studies if and how the use of a fuzzy benchmark with different cardinality may affect the final ordering of fuzzy numbers with respect to a chosen distance/similarity of fuzzy numbers. Different sets of fuzzy numbers representing different outputs of models (e.g. fuzzy net present values) are ordered by several distances/similarities of fuzzy numbers while the definition of the fuzzy benchmark changes cardinality-wise. Based on the analysis of the results and their graphical summaries we identify distances/similarities suitable for use with fuzzy benchmarks.

Název v anglickém jazyce

Ordering of fuzzy quantities with respect to a fuzzy benchmark – how the shape of the fuzzy benchmark and the choice of distance / similarity affect the ordering

Popis výsledku anglicky

To order several outputs of a model represented by fuzzy numbers, we can define a reference outcome of the model called benchmark (e.g. a fuzzy singleton when ideals are used as benchmarks). Then the distance (or similarity) between this reference outcome and each of the fuzzy outputs is used for the ordering of the outputs of a model. In many cases, however, the benchmark is represented by a fuzzy number i.e. when an expert estimate of the benchmark is given, or when predictions of future values are considered. This paper investigates the consequences of using fuzzy benchmarks for the ordering of fuzzy numbers. The paper studies if and how the use of a fuzzy benchmark with different cardinality may affect the final ordering of fuzzy numbers with respect to a chosen distance/similarity of fuzzy numbers. Different sets of fuzzy numbers representing different outputs of models (e.g. fuzzy net present values) are ordered by several distances/similarities of fuzzy numbers while the definition of the fuzzy benchmark changes cardinality-wise. Based on the analysis of the results and their graphical summaries we identify distances/similarities suitable for use with fuzzy benchmarks.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

50202 - Applied Economics, Econometrics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název statě ve sborníku

36th International Conference Mathematical Methods in Economics 2018, September 12th - 14th, 2018, Jindřichův Hradec, Czech Republic, Conference Proceedings

ISBN

978-80-7378-372-3

ISSN

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e-ISSN

neuvedeno

Počet stran výsledku

6

Strana od-do

573-578

Název nakladatele

MatfyzPress

Místo vydání

Prague

Místo konání akce

Jindřichův Hradec

Datum konání akce

12. 9. 2018

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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