The notion of weak-contradiction: definition and measures

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

The notion of weak-contradiction: definition and measures

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

The notion of weak-contradiction: definition and measures

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

IEEE Transaction Fuzzy Systems

ISSN

1063-6706

e-ISSN

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Svazek periodika

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Číslo periodika v rámci svazku

99

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

1-13

Kód UT WoS článku

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EID výsledku v databázi Scopus

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