Zicky, Lukman (2021) Necessary or Sufficient Conditions of Fbounded and Separability in Fuzzy alphaMetric Space. Masters thesis, Universitas Negeri Sebelas Maret.
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Abstract
Metrics have an important role in mathematics, both in analysis as well as applications. One of the new concepts of metric space is fuzzy αmetric space. This metric space is an expansion of the fuzzy metric space by adding
α generator. In this thesis, we discuss about characterization of Fbounded and separability in the fuzzy αmetric space. The property of Fbounded is obtained from the compact subset of given universe set, while the separability is obtained from the countable and dense subset of given universe set. These two characteristics have been discussed by Changqing and Kedian in Hausdorff fuzzy metric spaces. In this thesis, the necessary and sufficient conditions are obtained so that the fuzzy α metric space satisfies the properties of Fbounded.
and separable
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Metrics have an important role in mathematics, both in analysis as well
as applications. One of the new concepts of metric space is fuzzy αmetric
space. This metric space is an expansion of the fuzzy metric space by adding
α generator. In this thesis, we discuss about characterization of Fbounded
and separability in the fuzzy αmetric space. The property of Fbounded is
obtained from the compact subset of given universe set, while the separability
is obtained from the countable and dense subset of given universe set. These
two characteristics have been discussed by Changqing and Kedian in Hausdorff
fuzzy metric spaces. In this thesis, the necessary and sufficient conditions are
obtained so that the fuzzy α metric space satisfies the properties of Fbounded
and separable.
Item Type:  Thesis (Masters) 

Subjects:  Q Science > QA Mathematics > QA611.28 Metric spaces Q Science > QA Mathematics > QA248_Fuzzy Sets 
Divisions:  Faculty of Science and Data Analytics (SCIENTICS) > Mathematics > 44101(S2) Master Thesis 
Depositing User:  Zicky Lukman 
Date Deposited:  11 Feb 2022 01:59 
Last Modified:  11 Feb 2022 01:59 
URI:  http://repository.its.ac.id/id/eprint/92967 
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