Generalized dissemblance index as a difference of first moments of fuzzy numbers – A new perspective on the distance of fuzzy numbers

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15210%2F24%3A73621789" target="_blank" >RIV/61989592:15210/24:73621789 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1016/j.ins.2024.120118" target="_blank" >https://doi.org/10.1016/j.ins.2024.120118</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ins.2024.120118" target="_blank" >10.1016/j.ins.2024.120118</a>

Result language

angličtina

Original language name

Generalized dissemblance index as a difference of first moments of fuzzy numbers – A new perspective on the distance of fuzzy numbers

Original language description

This paper investigates the formulation of the dissemblance index as a basis for the calculation of distances of fuzzy numbers and explores its potential linkages with standard and possibilistic moments of fuzzy numbers. Applying the LSC transformation introduced recently by Luukka, Stoklasa and Collan we transform the general formulation of the dissemblance index into its “probabilistic” analogy and show that the result can be interpreted as a difference of COGs of the respective fuzzy numbers (potentially with hedges applied to them). We also show that the difference of possibilistic means is a special case of the general dissemblance index, when w =1. We also propose a generalized version of the possibilistic mean of a fuzzy number and prove its properties. We discuss the implications of this relationship on the practical use of the generalized dissemblance index and investigate its performance in the task of ranking of fuzzy numbers.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

50204 - Business and management

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

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

Name of the periodical

INFORMATION SCIENCES

ISSN

0020-0255

e-ISSN

1872-6291

Volume of the periodical

660

Issue of the periodical within the volume

march 2024

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

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UT code for WoS article

001164711600001

EID of the result in the Scopus database

2-s2.0-85182601286