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An ObjectOriented Architecture for Possibilistic Models
 in: Proc. 1994 Conf. ComputerAided Systems Technology
, 1994
"... . An architecture for the implementation of possibilistic models in an objectoriented programming environment (C++ in particular) is described. Fundamental classes for special and general random sets, their associated fuzzy measures, special and general distributions and fuzzy sets, and possibilist ..."
Abstract

Cited by 4 (4 self)
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. An architecture for the implementation of possibilistic models in an objectoriented programming environment (C++ in particular) is described. Fundamental classes for special and general random sets, their associated fuzzy measures, special and general distributions and fuzzy sets, and possibilistic processes are specified. Supplementary methodsincluding the fast Mobius transform, the maximum entropy and Bayesian approximations of random sets, distribution operators, compatibility measures, consonant approximations, frequency conversions, and possibilistic normalization and measurement methodsare also introduced. Empirical results to be investigated are also described. 1 Introduction Possibility theory [4] is an alternative information theory to that based on probability. Although possibility theory is logically independent of probability theory, they are related: both arise in DempsterShafer evidence theory as fuzzy measures defined on random sets; and their distributions a...
Possibilistic Representations of Measurement Combination Problems
"... This proposal is to do basic research on the use of possibility theory to represent uncertainty in measurement combination problems. Possibility theory is a new form of information theory based on both onepoint distribution functions of consistent random sets and a generalization of interval analys ..."
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This proposal is to do basic research on the use of possibility theory to represent uncertainty in measurement combination problems. Possibility theory is a new form of information theory based on both onepoint distribution functions of consistent random sets and a generalization of interval analysis. Possibility theory is closely related to fuzzy sets, fuzzy measures, and DempsterShafer evidence theory; however, unlike them, it is based on objective measurement. Possibility distributions provide a natural form for the representation of uncertainty when the measurand or the measuring device is complex, and only small samples from multiple measurement sources are available. Graduate Fellow, Systems Science, SUNYBinghamton, 327 Spring St. # 2, Portland ME, 04102, USA, (207) 7740029, cjoslyn@bingsuns.cc.binghamton.edu, joslyn@kong.gsfc.nasa.gov y Supported under NASA Grant # NGT 50756. Joslyn  Possibilistic Measurement 1 Possibility theory is being developed as an alternativ...