Title of article :
Fuzzy semi-numbers and a distance on them with a case study in medicine
Author/Authors :
Yeganehmanesh, Sh Department of Mathematics - Central Tehran Branch - Islamic Azad University, Tehran , Amirfakhrian, M Department of Mathematics - Central Tehran Branch - Islamic Azad University, Tehran , Grzegorzewski, P Systems Research Institute - Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland - Faculty of Mathematics and Information Science - Warsaw University of Technology - Plac Politechniki 1, 00-661 Warsaw, Poland
Abstract :
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.
Keywords :
Fuzzy sets , Fuzzy numbers , Fuzzy semi-numbers , Generalized LR fuzzy semi-numbers , H-value , H-ambiguity
Journal title :
Astroparticle Physics
