The Experts below are selected from a list of 8922 Experts worldwide ranked by ideXlab platform

Yian-kui Liu - One of the best experts on this subject based on the ideXlab platform.

  • fuzzy random variables a scalar expected value operator
    Fuzzy Optimization and Decision Making, 2003
    Co-Authors: Yian-kui Liu, Baoding Liu
    Abstract:

    Fuzzy random variable has been defined in several ways in literature. This paper presents a new definition of fuzzy random variable, and gives a novel definition of scalar expected value operator for fuzzy random variables. Some properties concerning the Measurability of fuzzy random variable are also discussed. In addition, the concept of independent and identically distributed fuzzy random variables is introduced. Finally, a type of law of large numbers is proved.

  • On the convergence of measurable set-valued function sequence on fuzzy measure space
    Fuzzy Sets and Systems, 2000
    Co-Authors: Yian-kui Liu
    Abstract:

    In this paper we first discuss the measurable projection theorem on fuzzy measure space, and in this framework the characterization theorem with respect to Measurability of a set-valued function is given. By means of the asymptotic structural characteristics of fuzzy measure, we discuss four forms of generalization for both Lebesgue's theorem, Riesz's theorem, and Egoroff's theorem, respectively. The relation between convergence of measurable set-valued function sequence and that of corresponding measurable real-valued function sequence are also discussed.

Pedro Terán - One of the best experts on this subject based on the ideXlab platform.

  • Harmonizing two approaches to fuzzy random variables
    Fuzzy Optimization and Decision Making, 2020
    Co-Authors: Miriam Alonso de la fuente, Pedro Terán
    Abstract:

    We prove a Measurability result which implies that the measurable events concerning the values of a fuzzy random variable, in two related mathematical approaches wherein the codomains of the variables are different spaces, are the same (provided both approaches apply). Further results on the perfectness of probability distributions of fuzzy random variables are presented.

Baoding Liu - One of the best experts on this subject based on the ideXlab platform.

  • fuzzy random variables a scalar expected value operator
    Fuzzy Optimization and Decision Making, 2003
    Co-Authors: Yian-kui Liu, Baoding Liu
    Abstract:

    Fuzzy random variable has been defined in several ways in literature. This paper presents a new definition of fuzzy random variable, and gives a novel definition of scalar expected value operator for fuzzy random variables. Some properties concerning the Measurability of fuzzy random variable are also discussed. In addition, the concept of independent and identically distributed fuzzy random variables is introduced. Finally, a type of law of large numbers is proved.

G Amelinocamelia - One of the best experts on this subject based on the ideXlab platform.

Miriam Alonso de la fuente - One of the best experts on this subject based on the ideXlab platform.

  • Harmonizing two approaches to fuzzy random variables
    Fuzzy Optimization and Decision Making, 2020
    Co-Authors: Miriam Alonso de la fuente, Pedro Terán
    Abstract:

    We prove a Measurability result which implies that the measurable events concerning the values of a fuzzy random variable, in two related mathematical approaches wherein the codomains of the variables are different spaces, are the same (provided both approaches apply). Further results on the perfectness of probability distributions of fuzzy random variables are presented.