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Object

Title: Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * Representing intuitionistic fuzzy sets as metasets

Creator:

Starosta, Bartłomiej

Date issued/created:

2010

Resource type:

Text

Subtitle:

Książka = Book ; KS/5/2010/T1P19

Publisher:

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

Place of publishing:

Warszawa

Description:

[5], 185-208 pages ; 21 cm ; Bibliography p. 207-208

Type of object:

Book/Chapter

Abstract:

Metaset is a new concept of set with partial membership relation. Although based on the classical set theory, themetaset theory is directed towards computer implementations and applications due to computer oriented definitions of basic relations and algebraic operations. The degrees to which membership, non-membership and uncertainty relations for metasets are satisfied, are represented by sets of nodes of the binary tree. In this paper we focus on the representation of intuitionistic fuzzy sets by means of metasets. In particular we show how to represent an uncertainty degree by means of two metasets. Also, we define a numerical evaluation of degrees represented by sets of nodes. As the main result we construct a family of metasets that correspond to elements of the given intuitionistic fuzzy set. Their uncertainty, nonmembership and membership degrees to another dedicated metaset, evaluated as real numbers, are equal to the degrees of corresponding elements of the intuitionistic fuzzy set.

Relation:

Książka = Book

Detailed Resource Type:

Book

Resource Identifier:

oai:rcin.org.pl:198464

Source:

KS-2010-05-T1P19

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

Object collections:

Last modified:

Oct 15, 2021

In our library since:

Jul 19, 2021

Number of object content hits:

3

All available object's versions:

https://rcin.org.pl/publication/234788

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