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

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Distance-based linguistic approximation methods: graphical analysis and numerical experiments
Original language description
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.
Czech name
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Czech description
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Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
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
Number of pages
6
Pages from-to
777-782
Publisher name
Gaudeamus
Place of publication
Hradec Králové
Event location
Hradec Králové
Event date
Sep 13, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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