Distance-based linguistic approximation methods: graphical analysis and numerical experiments

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15210%2F17%3A73581328" target="_blank" >RIV/61989592:15210/17:73581328 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Distance-based linguistic approximation methods: graphical analysis and numerical experiments

Popis výsledku v původním jazyce

Linguistic approximation (LA) as a tool for converting the outputs of mathematical models into linguistic terms or expressions is a crucial tool in linguistic fuzzy modelling. The success of the models depends significantly on the ability of the users of these models to understand well enough the outputs provided by the models. Linguistic approximation offers a natural language for conveying information. On the other hand it is still an approximation of the original results and as such, there is information distortion taking place. In this paper we study several distance-based linguistic approximation methods and analyse their performance in terms of LA for Mamdani-type outputs of mathematical models using a numerical experiment. We provide graphical summaries of the performance of these distance measures in LA as well as the frequencies of choosing specific linguistic labels considered to be the values of an extended linguistic scale. We discuss the differences in the focus of these methods and its implications for their usability. The paper strives to increase understanding of the LA methods and to contribute to the creation of a LA road map for practical use.

Název v anglickém jazyce

Distance-based linguistic approximation methods: graphical analysis and numerical experiments

Popis výsledku anglicky

Linguistic approximation (LA) as a tool for converting the outputs of mathematical models into linguistic terms or expressions is a crucial tool in linguistic fuzzy modelling. The success of the models depends significantly on the ability of the users of these models to understand well enough the outputs provided by the models. Linguistic approximation offers a natural language for conveying information. On the other hand it is still an approximation of the original results and as such, there is information distortion taking place. In this paper we study several distance-based linguistic approximation methods and analyse their performance in terms of LA for Mamdani-type outputs of mathematical models using a numerical experiment. We provide graphical summaries of the performance of these distance measures in LA as well as the frequencies of choosing specific linguistic labels considered to be the values of an extended linguistic scale. We discuss the differences in the focus of these methods and its implications for their usability. The paper strives to increase understanding of the LA methods and to contribute to the creation of a LA road map for practical use.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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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

35th International Conference Mathematical Methods in Economics MME 2017 Conference Proceedings

ISBN

978-80-7435-678-0

ISSN

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e-ISSN

neuvedeno

Počet stran výsledku

6

Strana od-do

777-782

Název nakladatele

Gaudeamus

Místo vydání

Hradec Králové

Místo konání akce

Hradec Králové

Datum konání akce

13. 9. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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