Some Topological and Algebraic Properties of alpha-level Subsets' Topology of a Fuzzy Subset
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F18%3A00536239" target="_blank" >RIV/60162694:G43__/18:00536239 - isvavai.cz</a>
Result on the web
<a href="https://drive.google.com/drive/folders/1-1mM9UuI3RRE5aAi3PyuF1J4Llw_aveG?usp=sharing" target="_blank" >https://drive.google.com/drive/folders/1-1mM9UuI3RRE5aAi3PyuF1J4Llw_aveG?usp=sharing</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2478/auom-2018-0042" target="_blank" >10.2478/auom-2018-0042</a>
Alternative languages
Result language
angličtina
Original language name
Some Topological and Algebraic Properties of alpha-level Subsets' Topology of a Fuzzy Subset
Original language description
The theory of fuzzy sets, since its foundation, has advanced in a wide range of means and in many fields. One of the areas to which fuzzy set theory has been applied extensively is mathematical programming. Nevertheless, the applications of fuzzy theory can be found in e.g. logic, decision theory, artificial intelligence, computer science, control engineering, expert systems, management science, operations research, robotics, and others. Theoretical improvements have been made in many directions. Nowadays it has a lot of applications also on possibility theory, actuarial credibility theory, fuzzy logic and approximate reasoning, fuzzy control, fuzzy data analysis, fuzzy set models in operations research, etc. The aim of this paper is to investigate some topological properties of a set X when the topology defined on it is the collection of all the alpha-level subsets of a fuzzy subset A of X. We have been able to establish some results regarding fuzzy cluster level subsets, convergence of level subsets and quasicompactness among others.
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
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
An. St. Univ. Ovidius Constanta
ISSN
1224-1784
e-ISSN
1844-0835
Volume of the periodical
26
Issue of the periodical within the volume
3
Country of publishing house
RO - ROMANIA
Number of pages
15
Pages from-to
213-227
UT code for WoS article
000453259100014
EID of the result in the Scopus database
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