Fuzzy Extension of Estimations with Randomness: The Perception-Based Approach

Authors:
Yuji Yoshida
Affiliations:
Faculty of Economics and Business Administration, University of Kitakyushu, 4-2-1 Kitagata, Kokuraminami, Kitakyushu 802-8577, Japan
Venue:
MDAI '07 Proceedings of the 4th international conference on Modeling Decisions for Artificial Intelligence
Year:
2007

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Abstract

A set of perceived random events is given by a fuzzy random variable, and its estimation is represented by a functional on real random variables. The estimation of the perception regarding random events is obtained, extending the functional to a functional of fuzzy random variables. This paper discusses conditions and various properties of perception-based extension of estimations with randomness, and several examples of the perception-based extension are investigated. The results can be applied other estimations in engineering, economics and so on.