Asymptotic and Bootstrap techniques for testing the expected value of a fuzzy random variable

Research paper by Manuel Montenegro, Ana Colubi, María Rosa Casals, María Ángeles Gil

Indexed on: 01 Feb '04Published on: 01 Feb '04Published in: Metrika


In this paper we will consider hypothesis-tests for the (fuzzy-valued) mean value of a fuzzy random variable in a population. For this purpose, we will make use of a generalized metric for fuzzy numbers, and we will develop an approach for normal fuzzy random variables, and two different approaches for the case of fuzzy random variables taking on a finite number of different values. A real-life example illustrates the use of the last two approaches. Finally, a comparison between the introduced techniques is developed by means of simulation studies leading to close inferential conclusions.