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- W2037476906 abstract "A set of perceived random events is given by a fuzzy random variable, and an estimation of real random variables is represented by a functional on real random variables. The perception-based extension of estimation regarding random events is introduced, extending the functional to a functional of fuzzy random variables. This paper discusses some conditions and various properties of the extended estimations, for example, monotonicity, continuity, linearity, sub-additivity/super-additivity, convexity/concavity. Several examples of the perception-based extended estimations are investigated. This paper analyzes the general cases, where the estimations do not have monotone properties, from the viewpoint of convexity/concavity. The results can be applicable to other estimations in engineering, economics and so on." @default.
- W2037476906 created "2016-06-24" @default.
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- W2037476906 date "2008-04-01" @default.
- W2037476906 modified "2023-09-27" @default.
- W2037476906 title "PERCEPTION-BASED ESTIMATIONS OF FUZZY RANDOM VARIABLES: LINEARITY AND CONVEXITY" @default.
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- W2037476906 doi "https://doi.org/10.1142/s021848850800525x" @default.
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