MULTIOBJECTIVE POSSIBILISTIC LINEAR-PROGRAMMING

This paper presents two solutions to multiobjective linear programs when all the parameters may be fuzzy variables whose values are restricted by a possibility distribution. In the first solution, we first find possibility distribution of the objective function; and then a solution consists of those values of the decision variables which produce the largest (undominated) values of the objective function, where these values also have maximum possibility. In the second solution, we first find the possibility distribution of the undominated sets; and then a solution consists of those values of the decision variables, which are undominated with maximum possibility, but also produce the largest (undominated) values of the objective function. For certain multiobjective possibilistic linear programs,we show that the two solution concepts are identical. © 1990.