Document Type : Research Paper


1 Department of Mathematics, The teacher Training University, Tehran, Iran

2 Department of Statistics, Science and Research branch, Islamic Azad University, Tehran 14515-775, Iran

3 Department of Mathematics, Islamic Azad University, Arak, Iran


The purpose of this study is to find the percentiles of fuzzy numbers
and to demonstrate their applications, which include finding weighted
means, dispersion indices, and the percentile intervals of fuzzy numbers. The
crisp approximations of fuzzy numbers introduced in this paper are new and
interesting for the comparison of fuzzy environments, such as a variety of economic,
financial, and engineering systems control problems.


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