Operations in Fuzzy Sets and Cut Systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA14019BI" target="_blank" >RIV/61988987:17610/14:A14019BI - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Operations in Fuzzy Sets and Cut Systems
Original language description
Any fuzzy set X in a classical set A with values in a complete (residuated) lattice Q can be identified with a system of alpha- cuts. Analogical results were proved for sets with similarity relations with values in Q (e.g. Q-sets) which are objects of two special categories of Q-sets and for fuzzy sets defined as special morphisms in these categories. These fuzzy sets can be defined equivalently as special cut systems, called f-cuts. In the paper we are interested in relationships between sets of fuzzysets and sets of f-cuts in an Q-set in corresponding categories, which are endowed with binary operations extended either from Binary operations in the lattice Q, or from binary operations defined in a set A by the generalized Zadeh extension principle.We prove that the resulting binary structures are (under some conditions) isomorphic.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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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
Article name in the collection
Proceedings of the International Conference on Computational Science and Computational Intelligence (CSCI 2014)
ISBN
978-1-4799-3009-8
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
416-421
Publisher name
IEEE Computer Society
Place of publication
Los Alamitos, California
Event location
Las Vegas, USA
Event date
Mar 10, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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