Title:

Recent advances in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: foundations * On the distributive equation i(x, s1(y, z)) = s2(i(x, y), i(x, z)) for t-representable t-conorms generated from nilpotent or strict t-conorms

Subtitle:

Książka = Book ; KS/9/2011/T1P3

Creator:

Baczyński, Michał Krzysztof

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2011

Description:

[1-4], 33-42 pages ; 21 cm ; Bibliography p. 41-42

Type of object:

Book/Chapter

Abstract:

Recently, in [5] we have examined the solutions of the following distributive functional equation I(x, S1(y, z))=S2(I(x, y), I(x, z)), when S1, S2 are either both strict or nilpotent t-conorms and I is an unknown function. On the other side, in [3] and [4], we have discussed the distributive equation of implications I(x, T1(y, z))= T2(I(x, y), I(x, z)) over t-representable t-norms generated from strict or nilpotent t-norms in interval-valued fuzzy sets theory. In this work we continue these investigations, but for the following distributive functional equation I(x, S1(y, z)) = S2(I(x, y), I(x, z)), when S1, S2 are t-representable t-conorms generated from either both strict or nilpotent t-conorms and I is an unknown function.

Relation:

Książka = Book

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2011-09-T1P3

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