Computing mean absolute deviation under uncertainty

Authors:
Barbara Gładysz;Adam Kasperski
Affiliations:
Institute of Industrial Engineering and Management, Wrocław University of Technology, Wybrzee Wyspiańskiego 27, 50-370 Wrocław, Poland;Institute of Industrial Engineering and Management, Wrocław University of Technology, Wybrzee Wyspiańskiego 27, 50-370 Wrocław, Poland
Venue:
Applied Soft Computing
Year:
2010

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Abstract

In this paper the problem of computing the mean absolute deviation in a set of uncertain variables is discussed. The uncertainty is modeled by closed intervals and fuzzy intervals. Some polynomial algorithms for determining the lower and upper bounds for the mean absolute deviation under interval uncertainty are proposed. Possibility theory is then applied to generalize the interval uncertainty representation to the fuzzy one.