Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * Correctness-checking of uncertain-equation solutions on example of the interval-modal method

Landowski, Marek; Piegat, Andrzej

Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * Correctness-checking of uncertain-equation solutions on example of the interval-modal method

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Title: Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * Correctness-checking of uncertain-equation solutions on example of the interval-modal method

Abstract:

There exists a number of methods for solving of uncertain interval-equations (normal or fuzzy intervals). Particular methods deliver different solutions of one and the same problem. It causes confusion, pessimism and doubts as to value of proposed solution methods among scientists and engineers. To check correctness of particular solving-methods a testing-method for them is necessary. It seems, such method has not existed until now. The paper presents such method that was called testing-point method (TP-method). It was applied for correctness checking of solutions of fuzzy-interval equation A + BX = C delivered by the interval-modal method of R.J. Bhivani and B.M. Patre [1]. It was shown that this method delivers generally incorrect results. The paper presents also a solution method of interval-equations based on multidimensional RDM interval-arithmetic. This method delivers a solution that satisfies all conditions and requirements imposed on solution of the investigated uncertain equation.

Relation:

Książka = Book

Detailed Resource Type:

Książka

Resource Identifier:

oai:rcin.org.pl:198436

Source:

KS-2014-02-T1P10

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

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Last modified:

Oct 15, 2021

In our library since:

Jul 19, 2021

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https://rcin.org.pl./publication/234759

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Ksiazki

Edition name	Date
KS-2014-02-T1P10 : Landowski Marek, Piegat Andrzej : Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * Correctness-checking of uncertain-equation solutions on example of the interval-modal method	Oct 15, 2021