| Title of paper:
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Sendograph metric on intuitionistic fuzzy number space
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| Author(s):
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| Fatih Kutlu
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| Department of Electronic and Communication Technologies, Yuzuncu Yil University, Van, Turkey
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| fatihkutlu@yyu.edu.tr
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| Taihe Fan
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| Department of Mathematic, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, 310018, China
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| taihefan@163.com
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| Tunay Bilgin
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| Department of Mathematics, Yuzuncu Yil University, Van, Turkey
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| tbilgin@yyu.edu.tr
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| Published in:
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"Notes on IFS", Volume 21, 2015, Number 4, pages 6–12
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| Download:
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 PDF (166 Kb, File info)
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| Abstract:
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In this paper, we propose a metric based on Hausdorff distance between sendographs of intuitionistic fuzzy numbers. Then we investigate some fundamental properties
of this metric and give numerical examples. In section 3.1, it's generalized the well-known Kloeden's theorem on IFN space. In section 3.2, we show that IFN space is not complete with
respect to sendograph metric and we construct a completion of IFN space with respect to sendograph metric.
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| Keywords:
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Intuitionistic fuzzy number, Hausdorff metric, Sendograph, Endograph, Distance measure.
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| AMS Classification:
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03E72, 46S40
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| References:
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