Lipschitz continuity of triangular subnorms
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA1401910" target="_blank" >RIV/61988987:17610/14:A1401910 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Lipschitz continuity of triangular subnorms
Original language description
This paper deals with the Lipschitz property of triangular subnorms. Unlike the case of triangular norms, for these operations the problem is still open and presents an interesting variety of situations. We provide some characterization results by weakening the notion of convexity, introducing two generalized versions of convexity for real functions, called ?-lower convexity and sub-convexity. The ?-lower convex and sub-convex real mappings present characteristics quite different from the usual convex real mappings. We will discuss the link between such kind of functions and the generators, and their pseudo-inverse, of continuous Archimedean triangular subnorms.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
FUZZY SET SYST
ISSN
0165-0114
e-ISSN
—
Volume of the periodical
37
Issue of the periodical within the volume
240
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
15
Pages from-to
51-65
UT code for WoS article
—
EID of the result in the Scopus database
—