Necessary and Sufficient Conditions for Generalized Uniform Fuzzy Partitions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F15%3AA16017UB" target="_blank" >RIV/61988987:17610/15:A16017UB - 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

Necessary and Sufficient Conditions for Generalized Uniform Fuzzy Partitions

Popis výsledku v původním jazyce

The fundamental concept in the theory of fuzzy transform (F-transform) is the fuzzy partition, which is a generalization of the classical concept of partition. The original definition assumes that every two normal fuzzy subsets in a partition overlap insuch a way that the sum of the membership degrees at each point is equal to 1. This condition can be generalized by relaxing the assumption of normality for fuzzy sets. The result is a denser fuzzy partition that may improve the approximation propertiesand the smoothness of the inverse F-transform. A fuzzy partition with this property will be referred to as general. The problem is how a general fuzzy partition can be effectively constructed. If we use a generating function with special properties, thenit is not immediately clear whether it defines a general fuzzy partition. In this paper, we find a necessary and sufficient condition that will enable the optimal generalized fuzzy partition to be designed more easily.

Název v anglickém jazyce

Necessary and Sufficient Conditions for Generalized Uniform Fuzzy Partitions

Popis výsledku anglicky

The fundamental concept in the theory of fuzzy transform (F-transform) is the fuzzy partition, which is a generalization of the classical concept of partition. The original definition assumes that every two normal fuzzy subsets in a partition overlap insuch a way that the sum of the membership degrees at each point is equal to 1. This condition can be generalized by relaxing the assumption of normality for fuzzy sets. The result is a denser fuzzy partition that may improve the approximation propertiesand the smoothness of the inverse F-transform. A fuzzy partition with this property will be referred to as general. The problem is how a general fuzzy partition can be effectively constructed. If we use a generating function with special properties, thenit is not immediately clear whether it defines a general fuzzy partition. In this paper, we find a necessary and sufficient condition that will enable the optimal generalized fuzzy partition to be designed more easily.

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

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

FUZZY SET SYST

ISSN

0165-0114

e-ISSN

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Svazek periodika

277

Číslo periodika v rámci svazku

15.10.2015

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

97-121

Kód UT WoS článku

000358743900006

EID výsledku v databázi Scopus

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