Subtitle:

Książka = Book ; KS/2/2014/T1P04

Publisher:

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

Place of publishing:

Warszawa

Description:

[5], 63-85 pages ; 21 cm ; Bibliography p. 83-85

Type of object:

Book/Chapter

Abstract:

In the paper the problem of preservation of properties of fuzzy relations during aggregation process is considered. It means that properties of fuzzy relations R1, . . . ,Rn on a set X are compared with properties of the aggregated fuzzy relation RF = F(R1, . . . ,Rn), where F is a function of the type F : [0, 1]n → [0, 1]. There are discussed α-properties (which may be called graded properties) as reflexivity, irreflexivity, symmetry, asymmetry, antisymmetry, connectedness and transitivity, where α ∈ [0, 1]. Fuzzy relations with a given graded property are considered (there may be diverse grades of the same property) and the obtained grade of the aggregated fuzzy relation is provided. There is also discussed the ,,converse” problem. Namely, relation RF = F(R1, . . . ,Rn) is assumed to have a graded property and the properties of relations R1, . . . ,Rn are examined (possibly with some assumptions on F).

Relation:

Książka = Book

Detailed Resource Type:

Book

Resource Identifier:

oai:rcin.org.pl:198429

Source:

KS-2014-02-T1P04

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