Sufficient Solvability Conditions for Systems of Partial Fuzzy Relational Equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA21024CM" target="_blank" >RIV/61988987:17610/20:A21024CM - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/chapter/10.1007%2F978-3-030-50146-4_8" target="_blank" >https://link.springer.com/chapter/10.1007%2F978-3-030-50146-4_8</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-030-50146-4_8" target="_blank" >10.1007/978-3-030-50146-4_8</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Sufficient Solvability Conditions for Systems of Partial Fuzzy Relational Equations

Popis výsledku v původním jazyce

This paper focuses on searching sufficient conditions for the solvability of systems of partial fuzzy relational equations. In the case of solvable systems, we provide solutions of the systems. Two standard systems of fuzzy relational equations – namely the systems built on the basic composition and on the Bandler-Kohout subproduct – are considered under the assumption of partiality. Such an extension requires to employ partial algebras of operations for dealing with undefined values. In this investigation, we consider seven most-known algebras of undefined values in partial fuzzy set theory such as the Bochvar, Bochvar external, Soboci´nski, McCarthy, Nelson, Kleene, and the Lukasiewicz algebra. Conditions that are sufficient for the solvability of the systems are provided. The crucial role will be played by the so-called boundary condition.

Název v anglickém jazyce

Sufficient Solvability Conditions for Systems of Partial Fuzzy Relational Equations

Popis výsledku anglicky

This paper focuses on searching sufficient conditions for the solvability of systems of partial fuzzy relational equations. In the case of solvable systems, we provide solutions of the systems. Two standard systems of fuzzy relational equations – namely the systems built on the basic composition and on the Bandler-Kohout subproduct – are considered under the assumption of partiality. Such an extension requires to employ partial algebras of operations for dealing with undefined values. In this investigation, we consider seven most-known algebras of undefined values in partial fuzzy set theory such as the Bochvar, Bochvar external, Soboci´nski, McCarthy, Nelson, Kleene, and the Lukasiewicz algebra. Conditions that are sufficient for the solvability of the systems are provided. The crucial role will be played by the so-called boundary condition.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA20-07851S" target="_blank" >GA20-07851S: Fuzzy relační struktury v přibližném usuzování</a><br>

Návaznosti

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

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název statě ve sborníku

Information Processing and Management of Uncertainty in Knowledge-Based Systems (Communications in Computer and Information Science series, vol. 1237)

ISBN

978-3-030-50145-7

ISSN

1865-0929

e-ISSN

—

Počet stran výsledku

14

Strana od-do

93-106

Název nakladatele

Springer

Místo vydání

Cham

Místo konání akce

Lisabon

Datum konání akce

1. 1. 2020

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

—