Fuzzy relational equations employing Dragonfly operations

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

Fuzzy relational equations employing Dragonfly operations

Popis výsledku v původním jazyce

This article studies solvability of system of fuzzy relational equations where the antecedents and the consequents may suffer from missing values. We use the operations from the Dragonfly algebra that we have recently proposed as a specific algebra for partial fuzzy set theory for dealing with missing values especially when constructing fuzzy relational compositions. To investigate the solvability of the new system, we build an implicative model mirroring the shape of the standard implicative model and then we focus on the possible difference between the inferred outputs using such a model and the consequents appearing in the system of fuzzy relational equations. Furthermore, assuming the solvability of the system and some additional conditions, we show that it is possible to determine a solution of the system derived from the built implicative model by slight modifications.

Název v anglickém jazyce

Fuzzy relational equations employing Dragonfly operations

Popis výsledku anglicky

This article studies solvability of system of fuzzy relational equations where the antecedents and the consequents may suffer from missing values. We use the operations from the Dragonfly algebra that we have recently proposed as a specific algebra for partial fuzzy set theory for dealing with missing values especially when constructing fuzzy relational compositions. To investigate the solvability of the new system, we build an implicative model mirroring the shape of the standard implicative model and then we focus on the possible difference between the inferred outputs using such a model and the consequents appearing in the system of fuzzy relational equations. Furthermore, assuming the solvability of the system and some additional conditions, we show that it is possible to determine a solution of the system derived from the built implicative model by slight modifications.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceeding of 2019 the 11th IEEE international conference on knowledge and systems engineering (KSE 2019)

ISBN

978-1-7281-3003-3

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

127-132

Název nakladatele

IEEE

Místo vydání

Da Nang Publishing House

Místo konání akce

Da Nang city

Datum konání akce

24. 10. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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