David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studia Logica 90 (3):425 - 453 (2008)
Uncertainty and vagueness/imprecision are not the same: one can be certain about events described using vague predicates and about imprecisely specified events, just as one can be uncertain about precisely specified events. Exactly because of this, a question arises about how one ought to assign probabilities to imprecisely specified events in the case when no possible available evidence will eradicate the imprecision (because, say, of the limits of accuracy of a measuring device). Modelling imprecision by rough sets over an approximation space presents an especially tractable case to help get one’s bearings. Two solutions present themselves: the first takes as upper and lower probabilities of the event X the (exact) probabilities assigned X ’s upper and lower rough-set approximations; the second, motivated both by formal considerations and by a simple betting argument, is to treat X ’s rough-set approximation as a conditional event and assign to it a point-valued (conditional) probability.
|Keywords||probability conditional probability rough set theory tolerance relations proximity Journal Article Neural networks (Computer science) Fuzzy systems Fuzzy logic|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Peter Milne (1997). Bruno de Finetti and the Logic of Conditional Events. British Journal for the Philosophy of Science 48 (2):195-232.
B. Loewer (2001). Determinism and Chance. Studies in History and Philosophy of Science Part B 32 (4):609-620.
Paul Weirich (1983). Conditional Probabilities and Probabilities Given Knowledge of a Condition. Philosophy of Science 50 (1):82-95.
Patrick Suppes (1966). The Probabilistic Argument for a Non-Classical Logic of Quantum Mechanics. Philosophy of Science 33 (1/2):14-21.
Added to index2009-01-28
Total downloads21 ( #114,946 of 1,696,461 )
Recent downloads (6 months)10 ( #55,576 of 1,696,461 )
How can I increase my downloads?