| de Cooman, Gert and Aeyels, Dirk: (2000) "A Random Set Description of a Possibility Measure and Its Natural Extension", IEEE Trans. on Systems, Man and Cybernetics A,v.30:2, pp. 124-130 |
....statistics. Furthermore, there is evidence to support the claim that these possibilistic forms are unique in providing such a close parallel to the standard probabilistic forms. The understanding of the deep connections between possibility measures, coherent upper previsions, and random sets [1], and the fact that like imprecise probabilities, possibilistic systems are better able to handle open world problems with unspecified or changing universes of discourse [32] combine to suggest the way forward to integrating possibilistic systems theory within the broad context of a git ....
....assignment (otherwise known as the trace or one point coverage) of S is ae(S) hae i i, where ae i : Pl(f i g) P A j 3 i m j . Clearly ae is a fuzzy set. de Cooman and Aeyels have provided full details on the imprecise probability interpretation of possibility measures and random sets [1]. Note that [1, 30, 33] ffl Pl and Bel are generally non additive fuzzy measures without distributions, and are dual, in that 8A Omega ; Bel(A) 1 Gamma Pl( A ) ffl Pi is an extreme plausibility, whose dual belief is the necessity measure j(A) 1 Gamma Pi(A) ffl Pr is both a ....
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de Cooman, Gert and Aeyels, Dirk: (1999) "A Random Set Description of a Possibility Measure and Its Natural Extension", IEEE Trans. on Systems, Man and Cybernetics, in press
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de Cooman, Gert and Aeyels, Dirk: (2000) "A Random Set Description of a Possibility Measure and Its Natural Extension", IEEE Trans. on Systems, Man and Cybernetics A,v.30:2, pp. 124-130
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