def asl(self):
"""Check whether the set of desirable gambles avoids sure loss
:rtype: :class:`bool`
A set of desirable gambles does not avoid sure loss if and only if some
nonnegative linear combination of desirable gambles is everywhere
negative.
>>> D = DesirSet()
>>> D.add([{'a': -1, 'b': -1, 'c': 1}])
>>> D.add([{'a': 1, 'b': -1, 'c': -1}])
>>> D.asl()
True
>>> D.add([{'a': -1, 'b': 1, 'c': -1}])
>>> D.asl()
False
>>> D = DesirSet('ab')
>>> D.add([{'b': -1}])
>>> D.asl()
True
"""
D = DesirSet([Cone.union(*(self | DesirSet([self.pspace()])))])
return murasyp.mathprog.feasible(D) == set()
def get_credal(self):
"""Generate the corresponding (closed) credal set
:returns: the (closed) credal set that corresponds as an uncertainty
model
:rtype: :class:`~murasyp.credalsets.CredalSet`
>>> D = DesirSet(['abc'])
>>> D.set_lower_pr({'a': 1, 'b': 0, 'c': 1}, .5)
>>> D.get_credal()
CredalSet([PMFunc({'a': '1/2', 'b': '1/2'}), PMFunc({'c': '1/2', 'b': '1/2'}), PMFunc({'a': 1}), PMFunc({'c': 1})])
"""
C = Cone.union(*self)
return murasyp.credalsets.CredalSet(murasyp.mathprog.vf_enumeration(C))