An Axiomatic Approach to Fuzzy Measures Like Set Cardinality for Finite Fuzzy Sets
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F10%3AA1100ZRQ" target="_blank" >RIV/61988987:17610/10:A1100ZRQ - 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
An Axiomatic Approach to Fuzzy Measures Like Set Cardinality for Finite Fuzzy Sets
Original language description
The aim of the paper is to propose an axiomatic system for fuzzy measures (denoted by fuzzy c-measures) like cardinality of sets for finite fuzzy sets that are defined in a universe of sets. The proposed axiomatic system is a generalization of the Casasnovas-Torrens axiomatic system introduced in [1]. We show a representation of fuzzy c-measures by a pair of special lattice homomorphisms and investigate several selected properties of fuzzy c-measure.
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/IAA108270901" target="_blank" >IAA108270901: Cardinality of Fuzzy Sets and Fuzzy Quantifiers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Information Processing and Management of Uncertainty in Knowledge-Based Systems
ISBN
978-3-642-14054-9
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
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Publisher name
Springer
Place of publication
Heidelberg
Event location
Dortmund
Event date
Jun 28, 2010
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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