A Numerical Investigation of the Performance of Distance and Similarity Measures in Linguistic Approximation under Different Linguistic Scales

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A Numerical Investigation of the Performance of Distance and Similarity Measures in Linguistic Approximation under Different Linguistic Scales

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

A Numerical Investigation of the Performance of Distance and Similarity Measures in Linguistic Approximation under Different Linguistic Scales

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10103 - Statistics and probability

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 periodika

Journal of Multiple-Valued Logic and Soft Computing

ISSN

1542-3980

e-ISSN

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Svazek periodika

29

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

485-503

Kód UT WoS článku

000415668000007

EID výsledku v databázi Scopus

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