2007/01/11 by A. Jencova, A. Jenčová, S. Pulmannova +3 · 1 citation
Computer Science · Decision Sciences · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Fuzzy and Soft Set Theory #Logic, Reasoning, and Knowledge #math-ph #math.MP #msc:81P10 #msc:81P15
paper · pdf · doi:10.1007/s10773-007-9396-0
23 pages
arxiv created 2007/01/11 · openalex publication_date 2007/05/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Observables on effect algebras and their fuzzy versions obtained by means of confidence measures (Markov kernels) are studied. It is shown that, on effect algebras with the (E)-property, given an observable and a confidence measure, there exists a fuzzy version of the observable. Ordering of observables according to their fuzzy properties is introduced, and some minimality conditions with respect to this ordering are found. Applications of some results of classical theory of experiments are considered.