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A new distance on fuzzy semi-numbers

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Abstract

In this paper we firstly review the definition of fuzzy semi-numbers and study some of their properties. Then, we consider some methods for converting fuzzy semi-numbers to fuzzy numbers in order to find the distance between fuzzy semi-numbers. By presenting a new distance function, we also find the distance between fuzzy semi-numbers directly without any change to their originality. Finally, we prove some properties of the presented distance and study a practical motivational medical case study along with some numerical examples.

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Authors and Affiliations

  1. Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

    M. Amirfakhrian & Sh. Yeganehmanesh

  2. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    P. Grzegorzewski

  3. Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland

    P. Grzegorzewski

Authors
  1. M. Amirfakhrian
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  2. Sh. Yeganehmanesh
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  3. P. Grzegorzewski
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Corresponding author

Correspondence to M. Amirfakhrian.

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All Authors declare that they have no conflict of interest.

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Communicated by A. Di Nola.

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Amirfakhrian, M., Yeganehmanesh, S. & Grzegorzewski, P. A new distance on fuzzy semi-numbers. Soft Comput 22, 4511–4524 (2018). https://doi.org/10.1007/s00500-017-2902-2

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