Title:

Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * Π-ordering and index of indeterminacy for intuitionistic fuzzy sets

Subtitle:

Książka = Book ; KS/2/2014/T1P07

Creator:

Marinov, Evgeniy

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2014

Description:

[5], 129-138 pages ; 21 cm ; Bibliography p. 137-138

Type of object:

Book/Chapter

Abstract:

A new ordering on the class of intuitionistic fuzzy sets, the so called π- ordering, is introduced in this paper. As a start point we employ the modal operators on IFSs and investigate their properties in respect of the π-ordering. In the last section the new ordering is used for the definition of the index of indeterminacy over IFSs, which is supposed to satisfy three corresponding axioms. A few versions of the index of indeterminacy are proposed according the the structure of the underlying universe X, over which the IFSs are considered. This index measures how far (close) is an IFS from (to) the family of the usual FSs on the same universe X.

Relation:

Książka = Book

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2014-02-T1P07

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