Fundamentals and Bayesian analyses of decision problems with fuzzy-valued utilities

DOI10.1016/S0888-613X(96)00073-4zbMath0949.91504OpenAlexW2044282469MaRDI QIDQ1809335

Miguel López-Díaz, María Ángeles Gil Álvarez

Publication date: 20 December 1999

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0888-613x(96)00073-4

zbMATH Keywords

Bayesian analysisfuzzy utility functionfuzzy random variablecrisp ranking methodfuzzy-valued consequencessingle-stage statistical decision

Mathematics Subject Classification ID

Decision theory (91B06) Theory of fuzzy sets, etc. (03E72)

Related Items

A new framework for the Bayesian analysis of single-stage decision problems with imprecise utilities ⋮ Overview on the development of fuzzy random variables ⋮ Constructive definitions of fuzzy random variables ⋮ Fuzzy data analysis and classification. Special issue in memoriam of Professor Lotfi A. Zadeh, father of fuzzy logic ⋮ The \(\lambda\)-average value and the fuzzy expectation of a fuzzy random variable ⋮ Solving influence diagrams with fuzzy chance and value nodes ⋮ Bayesian reliability analysis for fuzzy lifetime data ⋮ A review of applications of fuzzy sets to safety and reliability engineering ⋮ The fuzzy approach to statistical analysis ⋮ Random and fuzzy sets in coarse data analysis ⋮ Bootstrap approach to the multi-sample test of means with imprecise data ⋮ An extension of Fubini's theorem for fuzzy random variables ⋮ Harmonizing two approaches to fuzzy random variables ⋮ Approximating integrably bounded fuzzy random variables in terms of the ``generalized Hausdorff metric ⋮ Estimating the expected value of fuzzy random variables in random samplings from finite populations ⋮ Admissible and Bayes decisions with fuzzy-valued losses ⋮ Reversing the order of integration in iterated expectations of fuzzy random variables, and statistical applications ⋮ A note on Yoshida's optimal stopping model for option pricing ⋮ Unnamed Item

Cites Work

• A study of the ranking function approach through mean values
• A review of some methods for ranking fuzzy subsets
• The concept of normality for fuzzy random variables
• Preference relations on a set of fuzzy utilities as a basis for decision making
• The mean value of a fuzzy number
• A procedure for ranking fuzzy numbers using fuzzy relations
• Statistics with vague data
• A subjective approach for ranking fuzzy numbers
• Fuzzy random variables - I. Definitions and theorems
• Fuzzy random variables - II. Algorithms and examples for the discrete case
• Fuzzy decision trees
• Subjective expected utility: A review of normative theories
• A procedure for ordering fuzzy subsets of the unit interval
• Criteria for evaluating fuzzy ranking methods
• Integrals, conditional expectations, and martingales of multivalued functions
• The concept of a linguistic variable and its application to approximate reasoning. III
• Fuzzy conditional expectation
• Fuzzy random variables, expectation, and martingales
• Measurable selections of extrema
• Comparison of experiments in statistical decision problems with fuzzy utilities
• Measurable relations
• Decisionmaking in the Presence of Fuzzy Variables
• An Axiomatic Approach to Measurable Utility
• Fuzzy random variables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item