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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • 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