TY - JOUR
ID - 3501
TI - SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Ahmadzade, Hamed
AU - Amini, Mohammad
AU - Taheri, Seyed Mahmoud
AU - Bozorgnia, Abolghasem
AD - Department of Statistics, University of Sistan and Baluchestan,
Zahedan, Iran
AD - Department of Statistics, Faculty of Mathematical Sciences,
Ferdowsi University of Mashhad, Mashhad 91775, Iran
AD - Faculty of Engineering Science, College of Engineering,
University of Tehran, Tehran, Iran
AD - Department of Statistics, Khayyam University, Mashhad,
Iran
Y1 - 2017
PY - 2017
VL - 14
IS - 6
SP - 119
EP - 134
KW - Fuzzy random variable
KW - Linearly Positive Quadrant Dependence
KW - Independence
KW - Law of Large Numbers
DO - 10.22111/ijfs.2017.3501
N2 - In this paper, the concepts of positive dependence and linearlypositive quadrant dependence are introduced for fuzzy random variables. Also,an inequality is obtained for partial sums of linearly positive quadrant depen-dent fuzzy random variables. Moreover, a weak law of large numbers is estab-lished for linearly positive quadrant dependent fuzzy random variables. Weextend some well known inequalities to independent fuzzy random variables.Furthermore, a weak law of large numbers for independent fuzzy random vari-ables is stated and proved.
UR - https://ijfs.usb.ac.ir/article_3501.html
L1 - https://ijfs.usb.ac.ir/article_3501_4354e3e5670f8d20ba3ab0bb1f95685b.pdf
ER -