Fuzzy Measure Theory
The construction of consistent possibility and necessity measures
Fuzzy Sets and Systems - Possibility theory and fuzzy logic
Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)
Possibility theory and statistical reasoning
Computational Statistics & Data Analysis
Eliciting dual interval probabilities from interval comparison matrices
Information Sciences: an International Journal
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A simple definition of interval-valued probability measure (IVPM) is used and its implications are examined for problems in mathematical analysis. In particular, IVPMs are constructed and then used to develop the extension of these measures in such a way that probability, possibility, clouds, and intervals fit within the context of IVP. With the extension principle, integration and product measures that are derived below, mathematical analysis applied to this new structures is enabled. Optimization will be the mathematical analysis used to illustrate the approaches that are developed.