Characterization of Uninorms on Bounded Lattices

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F15%3AA1601B65" target="_blank" >RIV/61988987:17610/15:A1601B65 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Characterization of Uninorms on Bounded Lattices

Original language description

In this paper, we propose a characterization of uninorms on a general bounded lattice L by means of a sixtuple (T; S;H1;H2;H3;H4), where T is a triangular norm, S is a triangular conorm, and H1, H2, H3 and H4 are binary aggregation functions on L: Observe that in the case when L is a chain, it is enough to consider a triple (T; S;H). An example of a proper uninorm which is also a proper nullnorm is also shown (note that this cannot happen if we consider operations acting on a chain). Two general constructions of uninorms on L are added, fixing (S;H1;H2;H3;H4) and letting T ( fixing (T;H1;H2;H3;H4) and letting S) to be free up to a relation to the chosen neutral element e.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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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)

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

International Journal of Intelligent Systems

ISSN

1098-111X

e-ISSN

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Volume of the periodical

30

Issue of the periodical within the volume

7

Country of publishing house

US - UNITED STATES

Number of pages

11

Pages from-to

807-817

UT code for WoS article

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EID of the result in the Scopus database

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