Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * An intuitionistic fuzzy estimation of the area of 2d-figures based on the pick's formula

Atanassov, Krassimir Todorov (1954– ); Marinov, Evgeniy; Velizarova, Emilia

Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * An intuitionistic fuzzy estimation of the area of 2d-figures based on the pick's formula

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Title: Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * An intuitionistic fuzzy estimation of the area of 2d-figures based on the pick's formula

Abstract:

An iterative procedure for estimation of the area surrounded by a simple closed curve in the real 2D space is proposed. We employ the Pick’s Formula for calculating the area surrounded by a special types of polygons. Starting from an initial grid-step and ending up with a smaller grid-step - satisfactory to be able to build the inner and outer polygons. We propose in this paper also a formula for intuitionistic fuzzy estimation for the area surrounded the curve. The proposal is a numerical method allowing to program the algorithm in any procedural language. The iterative process stops when a satisfactory small enough limit between the upper and lower estimation has been reached.

Relation:

Książka = Book

Detailed Resource Type:

Książka

Resource Identifier:

oai:rcin.org.pl:198435

Source:

KS-2014-02-T1P09

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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Oct 15, 2021

In our library since:

Jul 19, 2021

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https://rcin.org.pl./publication/234758

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Ksiazki

Edition name	Date
KS-2014-02-T1P09 : Atanassov Krassimir Todorov, Marinov Evgeniy, Velizarova Emilia : Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * An intuitionistic fuzzy estimation of the area of 2d-figures based on the pick's formula	Oct 15, 2021