The notion of weak-contradiction: definition and measures

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA150192W" target="_blank" >RIV/61988987:17610/14:A150192W - 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

The notion of weak-contradiction: definition and measures

Original language description

In this work we present a way to represent contradiction between fuzzy sets. This representation is given in terms of the notion of f-weak contradiction. Unlike other approaches, we do not define contradiction just by using one of the relations of f- weak-contradiction, but by considering the whole set of relations. This consideration avoids the need to fix an operator beforehand in order to take into account all the information between two fuzzy sets. As a result, we characterize the contradiction between fuzzy sets and define a family of measures of contradiction satisfying four interesting properties: symmetry, antitonicity, if the intersection is empty then the measure is one; and if there is an element in the intersection with degree of membership1 then the measure is zero.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2014

Confidentiality

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

Name of the periodical

IEEE Transaction Fuzzy Systems

ISSN

1063-6706

e-ISSN

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Volume of the periodical

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Issue of the periodical within the volume

99

Country of publishing house

US - UNITED STATES

Number of pages

13

Pages from-to

1-13

UT code for WoS article

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EID of the result in the Scopus database

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