Given is a state set ( S¹ . . . Sⁿ ). If there is no information available, concerning the state distribution p = (p¹ . . . pⁿ ), the admissible distributions are represented by all the points of the distribution simplex s⁽ⁿ⁾.

In the case of perfect stochastic information, the distribution p (one point of
s⁽ⁿ⁾), is known. Any proper subset of s⁽ⁿ⁾ with more than one element, corresponds to stochastic partial information about p. This is SPI (p).

 

LPI - Definition /6/

Any Stochastic Partial Information SPI(p) which can be considered as a solution of a linear inequality system is called Linear Partial Information LPI(p) about p. It can be considered as a  LPI-fuzzification of p corresponding to the concepts of linear fuzzy logic.

 

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