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Object

Title: New developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * Fuzzy logical connectives in approximate reasoning. dual operations

Creator:

Drewniak, Józef

Date issued/created:

2012

Resource type:

Tekst

Subtitle:

Książka = Book ; KS/3/2012/T1P[3]

Publisher:

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

Place of publishing:

Warszawa

Description:

[6], 41-59 stron ; 21 cm ; Bibliografia s. 58-59

Type of object:

Książka/Rozdział

Abstract:

This paper concerns applications of Duality Principle in fuzzy algebra, fuzzy logics and approximate reasoning. Usually dual definitions, theorems, proofs and examples are neglected, omitted or left as a simple exercise. They are treated as an image in mirror. However, such opinion can be quite false, because duality is an equivalence relation. Thus both dual objects are equally important or non important. It can be easy seen in the case of linear programming: one handbook describesmainly maximization of linear functionals, while another concentrates on minimization. We tray to fill up this gap in treating of dual objects by presentation of examples of important dual notions and properties from lattice theory to relation theory and from fuzzy logic to fuzzy relational equations. In particular we describe properties of dual connectives of multivalued logic and summarize properties of dual relation compositions. Finally, a similarity between fuzzy coimplication and poset difference is analyzed.

Relation:

Książka = Book

Detailed Resource Type:

Książka

Resource Identifier:

oai:rcin.org.pl:198674

Source:

KS-2012-03-T1P[3]

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

Access:

Otwarty

Object collections:

Last modified:

Oct 15, 2021

In our library since:

Jul 19, 2021

Number of object content downloads / hits:

26

All available object's versions:

https://rcin.org.pl./publication/235013

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