Title:

Developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume II: Applications * Filters with T-norms and B-operations

Subtitle:

Książka = Book ; KS/6/2010/T2P06

Creator:

Butkiewicz, Bohdan

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2010

Description:

[5], 53-61 pages ; 21 cm ; Bibliography p. 61

Type of object:

Book/Chapter

Abstract:

The filters are described by impulse response. The convolution operation is used to establish the relation between input and output signals in the linear filters theory. Conventionally, the product of impulse response of the filter and input signal shifted in time is integrated to calculate output signal. In this paper the product operation in discrete convolution is replaced by triangular norm operation or basic operations, defined by the author some years ago. Such approach is an extension of conventional idea of convolution. It leads to nonlinear filtering. Some interesting properties as identical impulse, step, and frequency responses of digital filters with T-norms and Band operations or conorms (S-norms) and Bor operations are shown. Moreover, filters with fuzzy parameters and crisp signals passing by such fuzzy nonlinear filters are investigated.

Relation:

Książka = Book

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2010-06-T2P06

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