Title:

New trends in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * On a class ofoperations on interval-valued fuzzy sets

Subtitle:

Książka = Book ; KS/6/2013/T1P06

Creator:

Drygaś, Paweł

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2013

Description:

[5], 67-83 pages ; 21 cm ; Bibliography p. 82-83

Type of object:

Book/Chapter

Abstract:

In this paper we consider two aspects of binary operations on interval valued fuzzy sets. The first is connected with some methods of construction of such operations. Here we describe decomposable operations (e.g. t-representable t-norms) and their generalizations. Moreover we describe which properties of components are transferred to the decomposable operations. The same problem is considered for the generalization of decomposable operations. The second aspect considered in this paper is connected with algebraic properties of binary operations, i.e. for a given properties (associativity, monotonicity, commutativity and existence of neutral or zero element) we tray describe the structure of operations. In particular, we describe the structure of uninorms and nullnorms on LI .

Relation:

Książka = Book

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2013-06-T1P06

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