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 SciTech 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

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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 wellknown 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

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