In the LPI-procedure the decision maker linearizes any fuzziness instead of a membership function. This will be done by establishing stochastic and non-stochastic LPI-relations. A mixed stochastic and non-stochastic fuzzification is often a basis for the LPI-procedure.

In taking the decision, aspect of the MaxEmin, MaxWmin and the Prognostic Decision Principle (PDP) has been introduced. Regarding PDP, by taking into account the readiness of taking a risk by the decision maker, the upper boundary can be determined at the most cautious strategy.

By using the LPI-methods any fuzziness in any decision situation can be considered on the base of the Linear Fuzzy Logic. Furthermore:

Our world of imprecision, inexactitude and fuzziness can not be considered without fuzzy logic.

In the further works the regression forecasting, the political and economic decission models with a profit-and-loss account, bargaining models, all under LPI-conditions, will be considered.