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Paper Information

Journal:   MATHEMATICAL SCIENCES   2018 , Volume 12 , Number 1; Page(s) 41 To 52.

Fuzzy semi-numbers and a distance on them with a case study in medicine

Author(s):  Yeganehmanesh Sh., AMIRFAKHRIAN M.*, GRZEGORZEWSKI P.
* Department of Mathematics, Central Tehran Azad University, Tehran, Iran
In this paper, we present the novel concept of fuzzy semi-numbers. Then, a method for assigning distance between every pair of fuzzy semi-numbers is given. Moreover, it is shown that this distance is a metric on the set of all trapezoidal fuzzy semi-numbers with the same height and is a pseudo-metric on the set of all fuzzy semi-numbers. Also, by utilizing this distance, we propose an approximation of a fuzzy semi-number with given height and apply this approximation method in a medical case study.
Keyword(s): Fuzzy sets ,Fuzzy numbers ,Fuzzy semi-numbers ,Generalized LR fuzzy semi-numbers ,H-value ,H-ambiguity
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