Some fuzzy stochastic orderings for fuzzy random variables

Authors:
R. Zarei;M. Amini;A. H. Roknabadi;M. G. Akbari
Affiliations:
Department of Statistics, Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran;Department of Statistics, Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran;Department of Statistics, Ordered and Spatial Data Center of Excellence, Faculty of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran;Department of Statistics, Faculty of Sciences, University of Birjand, Southern Khorasan, Iran
Venue:
Fuzzy Optimization and Decision Making
Year:
2012

Citing 9
Cited 1

A fuzzy ranking of fuzzy numbers

Fuzzy Sets and Systems
A new approach for ranking fuzzy numbers by distance method

Fuzzy Sets and Systems
The central limit theorems for fuzzy random variables

Information Sciences—Informatics and Computer Science: An International Journal
Ranking fuzzy numbers based on decomposition principle and signed distance

Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
Ranking fuzzy numbers by preference ratio

Fuzzy Sets and Systems
Ranking fuzzy choice functions by their rationality indicators

Fuzzy Optimization and Decision Making
A new linear ordering of fuzzy numbers on subsets of $${{\mathcal F}({\pmb{\mathbb{R}}}})$$

Fuzzy Optimization and Decision Making
An extension of stochastic dominance to fuzzy random variables

IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Bayesian system reliability assessment under the vague environment

Applied Soft Computing

Ranking probability measures by inclusion indices in the case of unknown utility function

Fuzzy Optimization and Decision Making

Quantified Score

Hi-index	0.00

Visualization

Abstract

A new approach to stochastic ordering of fuzzy random variables is investigated in this paper. The traditional definitions of stochastic ordering, hazard rate ordering, and also mean residual life ordering were extended and proposed the unified indexes to ranking fuzzy random variables. Finally, we study the stochastic ordering of fuzzy order statistics by using our proposed approach and established some properties.