Inny tytuł:

Książka = Book ; KS/3/2012/T1P[3]

Wydawca:

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

Miejsce wydania:

Warszawa

Opis:

[6], 41-59 pages ; 21 cm ; Bibliography p. 58-59

Typ obiektu:

Book/Chapter

Abstrakt:

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.

Czasopismo/Seria/cykl:

Książka = Book

Szczegółowy typ zasobu:

Book

Identyfikator zasobu:

oai:rcin.org.pl:198674

Źródło:

KS-2012-03-T1P[3]

Język:

eng

Język streszczenia:

eng

Prawa:

Creative Commons Attribution BY 4.0 license

Zasady wykorzystania:

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: ; -

Digitalizacja:

Systems Research Institute of the Polish Academy of Sciences

Lokalizacja oryginału:

Library of Systems Research Institute PAS

Dofinansowane ze środków:

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.

Dostęp:

Open