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Published in: Soft Computing 14/2018

09-11-2017 | Foundations

A new distance on fuzzy semi-numbers

Authors: M. Amirfakhrian, Sh. Yeganehmanesh, P. Grzegorzewski

Published in: Soft Computing | Issue 14/2018

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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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Metadata
Title
A new distance on fuzzy semi-numbers
Authors
M. Amirfakhrian
Sh. Yeganehmanesh
P. Grzegorzewski
Publication date
09-11-2017
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 14/2018
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-017-2902-2

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