University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065414620171230SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES119134350110.22111/ijfs.2017.3501ENHamedAhmadzadeDepartment of Statistics, University of Sistan and Baluchestan,
Zahedan, IranMohammadAminiDepartment of Statistics, Faculty of Mathematical Sciences,
Ferdowsi University of Mashhad, Mashhad 91775, IranSeyed MahmoudTaheriFaculty of Engineering Science, College of Engineering,
University of Tehran, Tehran, IranAbolghasemBozorgniaDepartment of Statistics, Khayyam University, Mashhad,
IranJournal Article20160125In this paper, the concepts of positive dependence and linearly<br />positive quadrant dependence are introduced for fuzzy random variables. Also,<br />an inequality is obtained for partial sums of linearly positive quadrant depen-<br />dent fuzzy random variables. Moreover, a weak law of large numbers is estab-<br />lished for linearly positive quadrant dependent fuzzy random variables. We<br />extend some well known inequalities to independent fuzzy random variables.<br />Furthermore, a weak law of large numbers for independent fuzzy random vari-<br />ables is stated and proved.https://ijfs.usb.ac.ir/article_3501_4354e3e5670f8d20ba3ab0bb1f95685b.pdf