A possibilistic programming approach based on trapezoidal possibility distribution and its application in oil field exploitation

Against a low accuracy for people to solve fuzzy assignment problem by using possibilistic programming approach, an improved algorithm based on trapezoidal possibility distribution is given in this paper. Trapezoidal possibility distribution has comparative complex membership function, so we can process actual decision information better and reflect decision maker's subjectivity much better. Then the improved possibilistic programming approach is used to solve a fuzzy multi-objective assignment problem in oil field exploitation, which contains imprecise objective functions and fuzzy relation equations. Additionally, we obtain a regular conclusion in which the decision maker can acquire different appropriate schemes by changing aspiration levels. The acquired optimal assignment schemes in oil field exploitation verify the feasibility and effectiveness ofthe improved algorithm.