Possibility distributions of fuzzy decision variables obtained from possibilistic linear programming problems

In this paper, several kinds of possibility distributions of fuzzy variable s are studied in possibilistic linear programming problems to reflect the i nherent fuzziness in fuzzy decision problems. Interval and triangular possi bility distributions are used to express the non-interactive cases between the fuzzy decision variables, and exponential possibility distributions are used to represent the interrelated cases. Possibilistic linear programming problems based on exponential possibility distributions become non-linear optimization problems. In order to solve optimization problems easily, algo rithms for obtaining center vectors and distribution matrices in sequence a re proposed. By the proposed algorithms, the possibility distribution of fu zzy decision variables can be obtained. (C) 2000 Elsevier Science B.V. All rights reserved.