Linear partial information

Linear partial information (LPI) is a method of making decisions based on insufficient or fuzzy information. LPI was introduced in 1970 by Polish–Swiss mathematician Edward Kofler (1911–2007) to simplify decision processes. Compared to other methods the LPI-fuzziness is algorithmically simple and particularly in decision making, more practically oriented. Instead of an indicator function the decision maker linearizes any fuzziness by establishing of linear restrictions for fuzzy probability distributions or normalized weights. In the LPI-procedure the decision maker linearizes any fuzziness instead of applying a membership function. This can 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. By using the LPI-methods any fuzziness in any decision situation can be considered on the base of the linear fuzzy logic.

Linear partial information (LPI) is a method of making decisions based on insufficient or fuzzy information. LPI was introduced in 1970 by Polish–Swiss mathematician Edward Kofler (1911–2007) to simplify decision processes. Compared to other methods the LPI-fuzziness is algorithmically simple and particularly in decision making, more practically oriented. Instead of an indicator function the decision maker linearizes any fuzziness by establishing of linear restrictions for fuzzy probability distributions or normalized weights. In the LPI-procedure the decision maker linearizes any fuzziness instead of applying a membership function. This can 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. By using the LPI-methods any fuzziness in any decision situation can be considered on the base of the linear fuzzy logic.

Selected references

Edward Kofler – Equilibrium Points, Stability and Regulation in Fuzzy Optimisation Systems under Linear Partial Stochastic Information (LPI), Proceedings of the International Congress of Cybernetics and Systems, AFCET, Paris 1984, pp. 233–240 Edward Kofler – Decision Making under Linear Partial Information. Proceedings of the European Congress EUFIT, Aachen, 1994, pp. 891–896. Edward Kofler – Linear Partial Information with Applications. Proceedings of ISFL 1997 (International Symposium on Fuzzy Logic), Zurich, 1997, p. 235–239. Edward Kofler – Entscheidungen bei teilweise bekannter Verteilung der Zustände, Zeitschrift für OR, Vol. 18/3, 1974 Edward Kofler – Extensive Spiele bei unvollständiger Information, in Information in der Wirtschaft, Gesellschaft für Wirtschafts- und Sozialwissenschaften, Band 126, Berlin 1982

External links

Tools for establishing dominance with linear partial information and attribute hierarchy Linear Partial Information with applications Linear Partial Information (LPI) with applications to the U.S. economic policy Practical decision making with Linear Partial Information (LPI) Stochastic programming with fuzzy linear partial information on probability distribution One-shot decisions under Linear Partial Information

Text derived from https://en.wikipedia.org/w/index.php?oldid=1362360869 under CC BY-SA 4.0; modifications have been made.