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

Subtitle:

Książka = Book ; KS/2/2014/T1P09

Creator:

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

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2014

Description:

[5], 145-157 pages ; 21 cm ; Bibliography p. 156-157

Type of object:

Book/Chapter

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

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2014-02-T1P09

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open