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Issue:Sendograph metric on intuitionistic fuzzy number space

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Title of paper: Sendograph metric on intuitionistic fuzzy number space
Author(s):
Fatih Kutlu
Department of Electronic and Communication Technologies, Yuzuncu Yil University, Van, Turkey
fatihkutlu@yyu.edu.tr
Taihe Fan
Department of Mathematic, Zhejiang Sci-Tech University, Hangzhou, Zhejiang, 310018, China
taihefan@163.com
Tunay Bilgin
Department of Mathematics, Yuzuncu Yil University, Van, Turkey
tbilgin@yyu.edu.tr
Published in: "Notes on IFS", Volume 21, 2015, Number 4, pages 23–33
Download:  PDF (166  Kb, Info)
Abstract: 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.

Keywords: Intuitionistic fuzzy number, Hausdorff metric, Sendograph, Endograph, Distance measure.
AMS Classification: 03E72, 46S40
References:
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