Closure theory for semirings-valued fuzzy sets with applications to new fuzzy structures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F23%3AA2402GSM" target="_blank" >RIV/61988987:17610/23:A2402GSM - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0888613X23000841" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0888613X23000841</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijar.2023.108953" target="_blank" >10.1016/j.ijar.2023.108953</a>
Alternative languages
Result language
angličtina
Original language name
Closure theory for semirings-valued fuzzy sets with applications to new fuzzy structures
Original language description
Many of the new fuzzy structures, including intuitionistic, neutrosophic, or fuzzy soft sets, define their oven theories and methods for operations with their fuzzy structures, including topological constructions. In the paper we show how basic closure methods could be universally defined in a number of new fuzzy structures, without having to define a new theory for individual fuzzy structures. This approach is based on the transformation of these fuzzy structures into a new type of fuzzy set, called $AMV$-valued fuzzy sets, whose value sets are special pairs $R$ of commutative and idempotent semirings. The main advantage of this procedure is that all theoretical results that are proved for $AMV$-valued fuzzy sets can be relatively easily transformed into an analogous result in all new fuzzy structures that can be transformed into $AMV$-valued fuzzy sets, without the need to prove this result for individual types of fuzzy structures.
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
<a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INT J APPROX REASON
ISSN
0888-613X
e-ISSN
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Volume of the periodical
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Issue of the periodical within the volume
2023
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
25
Pages from-to
1-25
UT code for WoS article
001035543600001
EID of the result in the Scopus database
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