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Simulation of fuzzy random variables
Information Sciences, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
González-Rodríguez, Gil +2 more
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2002
Liu [184] initialized the concept of random fuzzy variable. The primitive chance measure of random fuzzy event was defined by Liu [184] as a function from [0,1] to [0,1]. The expected value operator of random fuzzy variable was given by Liu and Liu [189].
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Liu [184] initialized the concept of random fuzzy variable. The primitive chance measure of random fuzzy event was defined by Liu [184] as a function from [0,1] to [0,1]. The expected value operator of random fuzzy variable was given by Liu and Liu [189].
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Random sets and fuzzy random variables
1987In this section we will consider situations in which two different types of uncertainty — vagueness and randomness, appear simultaneously. A random experiment is described as usual by a probability space (ΩuP), where Ω is the set of all possible outcomes of the experiment, u is a σ-algebra of subsets of Ω (the set of all possible events), and the set ...
Rudolf Kruse, Klaus Dieter Meyer
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International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2015
In this paper, we propose an interactive method for multiobjective linear programming problems, in which fuzzy coefficients, random variable coefficients and fuzzy random variable coefficients are involved in the objective functions respectively. In the proposed method, it is assumed that the decision maker has a fuzzy goal for each objective function,
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In this paper, we propose an interactive method for multiobjective linear programming problems, in which fuzzy coefficients, random variable coefficients and fuzzy random variable coefficients are involved in the objective functions respectively. In the proposed method, it is assumed that the decision maker has a fuzzy goal for each objective function,
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Random variable with fuzzy probability
Applied Mathematics and Mechanics, 2003The authors consider finite probability spaces and, starting with interval-valued probabilities, they discuss fuzzy probabilities, fuzzy distribution, fuzzy expectation and fuzzy variance, but unfortunately without any reference to earlier well-justified non-Chinese developments.
Lü, Enlin, Zhong, Youming
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A fuzzy correlation coefficient for fuzzy random variables
FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315), 1999A fuzzy correlation coefficient is proposed for fuzzy random variables from the practical viewpoint, by using correlation coefficients between points in their level sets. The proposed correlation coefficient is applied to the analysis of the relationship between the meaning of the word "tall" and individual heights.
N. Watanabe, T. Imaizumi
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Discrete Fuzzy Random Variables
2003This chapter is based on [1]. New material, not included in [1], includes the fuzzy Poisson (Section 4.3) and the applications in Section 4.4.
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Some fuzzy stochastic orderings for fuzzy random variables
Fuzzy Optimization and Decision Making, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zarei, R. +3 more
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Least-squares fuzzy regression with fuzzy random variables
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wünsche, A., Näther, W.
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Continuous Fuzzy Random Variables
2003This Chapter is based on [1]. New material includes the applications in Section 8.5. We consider the fuzzy uniform in Section 8.2, the fuzzy normal is in Section 8.3, followed by the fuzzy negative exponential in Section 8.4. In each case of a fuzzy density function we first discuss how they are used to compute fuzzy probabilities and then we find ...
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