Using ranking functions in multiobjective fuzzy linear programming

Multiobjective mathematical programming problems, in particular the vector optimization problems, define a well known and studied area because of its relevance to numerous practical applications. In this paper vector optimization problems with a fuzzy nature are considered. In these problems usually it is assumed that all the objective functions involved come from the same decision maker. The problem considered here assumes, however, that the objective functions can be defined by different decision makers, and that the coefficients in each of these objective functions are fuzzy numbers. Hence, solution methodologies for these multiobjective fuzzy mathematical programming problems, using different ordering methods ranking fuzzy numbers, are proposed. As an illustration a bi-objective model for land use is presented. (C) 2000 Elsevier Science B.V. All rights reserved.