Convex fuzzy random variables

DOI10.1016/0165-0114(81)90005-1zbMath0467.60005OpenAlexW2046190944MaRDI QIDQ1155909

William E. Stein, Kirit Talati

Publication date: 1981

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(81)90005-1

zbMATH Keywords

fuzzy law of large numbersexpectation of fuzzy random variables

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Strong limit theorems (60F15) Probabilistic measure theory (60A10)

Related Items (18)

A central limit theorem for fuzzy random variables ⋮ SEQUENCES OF RANDOM FUZZY SETS ⋮ Fuzzy formulation of the Lee-Carter model for mortality forecasting ⋮ On fuzzy stochastic optimization ⋮ Fuzzy specifications and random fuzzy events considered as basic tools for statistical prediction ⋮ FUZZY MEASURES AND FUZZY INTEGRALS: AN OVERVIEW ⋮ Marcinkiewicz-type law of large numbers for fuzzy random variables ⋮ A slln for arrays of rowwise exchangeable fuzzy random sets ⋮ A uniform strong law of large numbers for partial sum processes of fuzzy random variables indexed by sets ⋮ A strong law of large numbers for fuzzy random sets ⋮ Fuzziness and randomness in an optimization framework ⋮ Exchangeability and convergence for random sets ⋮ Fuzzy-valued integrals of fuzzy-valued measurable functions with respect to fuzzy-valued measures based on closed intervals ⋮ Testing statistical hypotheses with vague data ⋮ Some inequalities and limit theorems for fuzzy random variables adopted with \(\alpha \)-values of fuzzy numbers ⋮ The strong law of large numbers for fuzzy random variables ⋮ A strong law of large numbers for fuzzy random variables ⋮ The theory of fuzzy stochastic processes

Cites Work

• Unnamed Item
• Entropy and fuzzy integral
• Fuzzy random variables - I. Definitions and theorems
• Fuzzy random variables - II. Algorithms and examples for the discrete case
• On fuzziness and linguistic probabilities
• Fuzzy sets as a basis for a theory of possibility
• A note on the extension principle for fuzzy sets
• Fuzzy variables
• The concept of a linguistic variable and its application to approximate reasoning. II
• The concept of a linguistic variable and its application to approximate reasoning. III
• Fuzzy real algebra: Some results
• APPLICATION OF FUZZY SET THEORY TO ECONOMICS
• Decision-Making in a Fuzzy Environment

This page was built for publication: Convex fuzzy random variables