A Numerical Investigation of the Performance of Distance and Similarity Measures in Linguistic Approximation under Different Linguistic Scales
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73582213" target="_blank" >RIV/61989592:15310/17:73582213 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
A Numerical Investigation of the Performance of Distance and Similarity Measures in Linguistic Approximation under Different Linguistic Scales
Original language description
The paper investigates the behavior of linguistic approximation under two distance measures of fuzzy numbers and two similarity measures of fuzzy numbers in the context of different linguistic scales. An analytic framework for the comparison of different distance/similarity measures in the linguistic approximation based on the minimization of distance (maximization of similarity) is introduced and numerical investigation of four chosen measures is performed. The focus of this paper is narrowed to symmetrical triangular fuzzy numbers as approximated objects and several different linguistic scales are considered. The presented results provide evidence of the existence of differences in the performance of the selected measures. Preference of more uncertain approximations, reduction of uncertainty and the emergence of ambiguity regions are among the identified effects of some of the measures. Conclusions concerning the suitability of specific distance/similarity measures in different contexts are drawn and possible drawbacks of their use are identified and discussed.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10103 - Statistics and probability
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Multiple-Valued Logic and Soft Computing
ISSN
1542-3980
e-ISSN
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Volume of the periodical
29
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
19
Pages from-to
485-503
UT code for WoS article
000415668000007
EID of the result in the Scopus database
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