Capacities with values in compact Hausdorff lattices

DOI10.1007/s10485-007-9061-zzbMath1141.18004OpenAlexW2031457260MaRDI QIDQ2643606

O. R. Nykyforchyn

Publication date: 27 August 2007

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-007-9061-z

zbMATH Keywords

capacitymonadLawson latticecategory of compacta

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Ordered topological structures (06F30)

Related Items (7)

Supercompactness of spaces of capacities and its consequences ⋮ Metric and topology on the poset of compact pseudoultrametrics ⋮ \(L\)-fuzzy strongest postcondition predicate transformers as \(L\)-idempotent linear or affine operators between semimodules of monotonic predicates ⋮ Continuous approximations of capacities on metric compacta ⋮ Ambiguous representations as fuzzy relations between sets ⋮ Adjoints and monads related to compact lattices and compact Lawson idempotent semimodules ⋮ Ambiguous representations of semilattices, imperfect information, and predicate transformers

Cites Work

• Advances in prospect theory: cumulative representation of uncertainty
• Updating ambiguous beliefs
• Non-additive beliefs and strategic equilibria
• Subjective Probability and Expected Utility without Additivity
• Strongly Reflexive Lattices
• Densities of idempotent measures and large deviations
• Continuous Lattices and Domains
• "Beliefs about Beliefs" without Probabilities
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