Completions of Fragments of Lattice-Valued Possibilistic Distributions According to the Principle of Maximum Entropy Value

Abstrakt

Investigated are Boolean-valued possibilistic distributions taking their values in the power-set of all sets of positive integers. However, some of these possibility degrees may be known only fragmentally in the sense that for the characteristic sequence (identifier) of the set-value in question not all members of this sequence are known. A simple possibilistic entropy function is defined and completions of fragments of possibility degrees with respect to the classical (optimistic or global, in a sense) principle of maximal entropy as well as with respect to some weakened (local or pessimistic, in a sense) versions of this principle are introduced and analyzed.