Approximations of fuzzy soft sets by fuzzy soft relations with image processing application
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA220218P" target="_blank" >RIV/61988987:17610/21:A220218P - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00500-021-05769-3" target="_blank" >https://link.springer.com/article/10.1007/s00500-021-05769-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-021-05769-3" target="_blank" >10.1007/s00500-021-05769-3</a>
Alternative languages
Result language
angličtina
Original language name
Approximations of fuzzy soft sets by fuzzy soft relations with image processing application
Original language description
Fuzzy soft sets represent a generalization of fuzzy sets with considerable application potential in decision making problems, optimization and computer science. In the paper we use the fact that the fuzzy soft sets powerset theory is defined by the monad and, using this theory, we introduce the concept of fuzzy soft relations defined by the this monad. Using this general method we can also introduce the fuzzy soft approximations of fuzzy soft sets defined by fuzzy soft relations.We show that fuzzy soft sets and fuzzy soft approximations can be naturally used in the color segmentation method, where reliable and fully automated methods do not yet exist. The proposed method can thus fully replace laborious and time-consuming manual ways of a color segmentation.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Soft Computing
ISSN
1432-7643
e-ISSN
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Volume of the periodical
25
Issue of the periodical within the volume
10
Country of publishing house
DE - GERMANY
Number of pages
11
Pages from-to
6915-6925
UT code for WoS article
000637451900001
EID of the result in the Scopus database
2-s2.0-85103618310