Characterizations of the possibility-probability transformations and some applications

DOI10.1016/j.ins.2018.10.060zbMath1442.68231OpenAlexW2899396822WikidataQ129021613 ScholiaQ129021613MaRDI QIDQ2201673

LeSheng Jin, Martin Kalina, Surajit Borkotokey, Radko Mesiar

Publication date: 29 September 2020

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

Full work available at URL: https://doi.org/10.1016/j.ins.2018.10.060

zbMATH Keywords

decision makingprobability distributionaggregation functionpossibility distribution

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (3)

The integrated sigma-max system and its application in target recognition ⋮ On the weighted Gini-Simpson index: estimating feasible weights using the optimal point and discussing a link with possibility theory ⋮ On the approximation of a membership function by empirical quantile functions

Cites Work

• Comparing probability measures using possibility theory: a notion of relative peakedness
• Unfair coins and necessity measures: Towards a possibilistic interpretation of histograms
• Pseudo-additive measures and integrals
• When upper probabilities are possibility measures
• Fuzzy sets as a basis for a theory of possibility
• Probability-possibility transformations, triangular fuzzy sets, and probabilistic inequalities
• Transforming probability distributions into membership functions of fuzzy classes: a hypothesis test approach
• Theory of capacities
• A PRINCIPLE OF UNCERTAINTY AND INFORMATION INVARIANCE*
• A MATHEMATICAL ANALYSIS OF INFORMATION-PRESERVING TRANSFORMATIONS BETWEEN PROBABILISTIC AND POSSIBILISTIC FORMULATIONS OF UNCERTAINTY
• PROBABILITY-POSSIBILITY TRANSFORMATIONS: A COMPARISON
• Fuzzy sets
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