Properties of Fuzzy Distance on Fuzzy Set

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Jehad Kider
Jehad Kider
α University of Technology

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Properties of Fuzzy Distance on Fuzzy Set

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Abstract

In this paper we introduce the definition of fuzzy distance space on fuzzy set then we study and discuss several properties of this space after some illustrative examples are given. Furthermore we introduce the definition of fuzzy convergence, fuzzy Cauchy sequence of fuzzy point and fuzzy bounded fuzzy distance space.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Jehad Kider. 2015. \u201cProperties of Fuzzy Distance on Fuzzy Set\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F8): .

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Issue Cover
GJSFR Volume 15 Issue F8
Pg. 37- 50
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: : MSC 2010: 03E72, 94D05
Version of record

v1.2

Issue date

October 15, 2015

Language
en
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In this paper we introduce the definition of fuzzy distance space on fuzzy set then we study and discuss several properties of this space after some illustrative examples are given. Furthermore we introduce the definition of fuzzy convergence, fuzzy Cauchy sequence of fuzzy point and fuzzy bounded fuzzy distance space.

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Properties of Fuzzy Distance on Fuzzy Set

Jehad Kider
Jehad Kider University of Technology

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