Title:

Modern approaches in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * On modal operators and quasi-orderings for IFSs

Subtitle:

Książka = Book ; KS/2/2014/T1P08

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], 139-144 pages ; 21 cm ; Bibliography p. 144

Type of object:

Book/Chapter

Abstract:

Every quasi-ordered set (Y,≤) can be naturally split into equivalence classes and its factorization by that equivalence relation turned into partially ordered set as described by Birkhoff [3]. “Necessity” and “possibility” operators (denoted □ and ◊ respectively) for intuitionistic fuzzy sets have been introduced by Atanassov. We investigate them in more detail describing the structure of the classes from the corresponding equivalent relations on IFS(X) derived from the modal quasi-orderings. Some new statements about modal operators are introduced and we put light on them from various points of view.

Relation:

Książka = Book

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2014-02-T1P08

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