Title:

Recent advances in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: foundations * Conditional distributivity of increasing binary operations

Subtitle:

Książka = Book ; KS/9/2011/T1P15

Creator:

Rak, Ewa

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], 175-185 pages ; 21 cm ; Bibliography p. 183-185

Type of object:

Book/Chapter

Abstract:

The problem of distributivity is of a great interest both for particular as well as fundamental reasons. This relates for instance to the theory of binary operations like triangular norms, conorms and their generalizations, i.e. uninorms and nullnorms. This paper is precisely devoted to solve conditional distributivity of monotonic operations with neutral element. We simplify here some assumptions and results about conditional distributivity and distributivity of uninorms and triangular operations (norms and conorms) in four cases. In particular, the assumptions of associativity and commutativity are not necessary in consideration of these functional equations.

Relation:

Książka = Book

Resource type:

Text

Detailed Resource Type:

Book

Source:

KS-2011-09-T1P15

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