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Journal Paper

‎Fuzzy Semi-Numbers and a Distance on Them with a Case Study in Medicine

Mathematical Sciences, Vol. 12 No. 1, (2018) 41-52.

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.

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Journal Paper

Fuzzy Semi-Numbers and Their Elementary Arithmetic With a Medical Case Study

International Journal of Computational Intelligence Systems, Vol. 11 No. 1, (2018) 991-1004.

A new methodology for processing non-normal fuzzy sets is proposed. To break the predominant constraint on normality of fuzzy numbers the concept of fuzzy semi-numbers is introduced Then it is shown how to generalize operations defined on fuzzy numbers onto a family of fuzzy semi-numbers with possibly different heights.

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Journal Paper

A New Distance on Fuzzy Semi-Numbers

Soft Computing, Vol. 22 (2018) 4511–4524.

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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@Copyright 2020  Dr. Amirfakhrian  | Powered by Applied Plan