Fuzzy random variables

By M. A. Gil. Information Sciences, 2001

948 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Strategy and Management

View Paper: https://www.semanticscholar.org/paper/351f78cde74595e2990343b5082da1fb2d5e3cc3

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In Management Science and Operations Research

In Strategy and Management

Citations in the corpus

Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations (2017, methodology): “It should be noted that the fuzzy integral can be also defined using the Lebesgue-type approach [42] or the Henstock-type approach [50].”
Imprecise probabilities in engineering analyses (2013, neutral): “These selections comply with the de nitions in [206] and [42]; see also [217].”
Fuzzy fractional integral equations under compactness type condition (2012, background): “Then (En, d) is a complete metric space (see [34]).”
A _{}[0,1] representation of random upper semicontinuous functions (2002, background): “Besides, whereas (F(B), d∞) is complete and nonseparable (see [24], [17]), and (F(B), dp) (1 ≤ p <∞) is separable and noncomplete (see [17], [9]), the space (F(B), dS) is Polish.”
Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method (2015, methodology): “Deﬁnition 2.2 (Puri 1986) The complete metric structure on R F is given by the Hausdorff distance mapping”
A generalization of the Wilcoxon signed-rank test and its applications (2013, methodology): “Suppose that we have a fuzzy random sample of observations x̃1, x̃2, . . . , x̃n from a population with continuous and symmetric cumulative distribution function FX (Kruse and Meyer 1987; Puri and Ralescu 1986).”
Fuzzy probabilistic design of water distribution networks (2011, background): “[8] The concept of FRVs was first introduced by Kwakernaak [1978], and different definitions have since been developed [e.g., Puri and Ralescu, 1986; Liu, 2001].”
Toward a generalized theory of uncertainty (GTU) - an outline (2005, background): “Random-set constraint (r = rs) In X isrs R X is a fuzzy-set-valued random variable and R is a fuzzy random set [26,30].”