On possibilistic representations of fuzzy intervals

DOI10.1016/j.ins.2017.04.004zbMath1429.68299OpenAlexW2550536089MaRDI QIDQ2293193

Luciano Stefanini, Maria Letizia Guerra

Publication date: 7 February 2020

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: http://www.econ.uniurb.it/RePEc/urb/wpaper/WP_16_02.pdf

zbMATH Keywords

quantilespossibility distributionfuzzy intervalsparametric representationsaverage cumulative function

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (5)

Almost periodic fuzzy multidimensional dynamic systems and applications on time scales ⋮ On the approximation of a membership function by empirical quantile functions ⋮ Properties of fuzzy transform obtained from \(L_p\) minimization and a connection with Zadeh's extension principle ⋮ Fusions and preference relations based on probabilistic interval-valued hesitant fuzzy information in group decision making ⋮ Quantile and expectile smoothing based on \(L_1\)-norm and \(L_2\)-norm fuzzy transforms

Uses Software

• PaCAL

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inner and outer fuzzy approximations of confidence intervals
• Upper and lower probabilities induced by a fuzzy random variable
• Possibility for decision. A possibilistic approach to real life decisions.
• A new family of metrics for compact, convex (fuzzy) sets based on a generalized concept of mid and spread
• Parametric representation of fuzzy numbers and application to fuzzy calculus
• Overview on the development of fuzzy random variables
• A survey of credibility theory
• Possibility theory and statistical reasoning
• Practical representations of incomplete probabilistic knowledge
• Fuzzy random variables - I. Definitions and theorems
• Fuzzy sets and systems. Theory and applications
• Fuzzy sets as a basis for a theory of possibility
• Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms
• Limit theorems for fuzzy-random variables
• General approximation of fuzzy numbers by F-transform
• The median of a random fuzzy number. The 1-norm distance approach
• Mathematics of fuzzy sets and fuzzy logic
• On fuzzy-set interpretation of possibility theory
• Transforming probability distributions into membership functions of fuzzy classes: a hypothesis test approach
• Quantiles, expectiles and splines
• MEASUREMENT OF POSSIBILITY DISTRIBUTIONS
• Arithmetic Operations on Independent Random Variables: A Numerical Approach
• Local Linear Quantile Regression
• Regression Quantiles
• Mean Value and Variance of Fuzzy Numbers with Non-continuous Membership Functions
• All of Nonparametric Statistics
• Probability
• Fuzzy random variables
• A unified approach to fuzzy random variables

This page was built for publication: On possibilistic representations of fuzzy intervals