Ahmadzade, H., Amini, M., Taheri, S., Bozorgnia, A. (2017). SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES. Iranian Journal of Fuzzy Systems, 14(6), 119-134. doi: 10.22111/ijfs.2017.3501

Hamed Ahmadzade; Mohammad Amini; Seyed Mahmoud Taheri; Abolghasem Bozorgnia. "SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES". Iranian Journal of Fuzzy Systems, 14, 6, 2017, 119-134. doi: 10.22111/ijfs.2017.3501

Ahmadzade, H., Amini, M., Taheri, S., Bozorgnia, A. (2017). 'SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES', Iranian Journal of Fuzzy Systems, 14(6), pp. 119-134. doi: 10.22111/ijfs.2017.3501

Ahmadzade, H., Amini, M., Taheri, S., Bozorgnia, A. SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES. Iranian Journal of Fuzzy Systems, 2017; 14(6): 119-134. doi: 10.22111/ijfs.2017.3501

SOME PROBABILISTIC INEQUALITIES FOR FUZZY RANDOM VARIABLES

^{1}Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran

^{2}Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad 91775, Iran

^{3}Faculty of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran

^{4}Department of Statistics, Khayyam University, Mashhad, Iran

Abstract

In this paper, the concepts of positive dependence and linearly positive 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. We extend 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.

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