JISE


  [1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14]


Journal of Information Science and Engineering, Vol. 35 No. 6, pp. 1311-1327


Optimality Conditions for Fuzzy Programming Problems with Differentiable Fuzzy Objective Mappings


YU-E BAO1 AND EER-DUN BAI2
1College of Mathematics
2College of Computer Science and Technology
Inner Mongolia University for Nationalities
Inner Mongolia, Tongliao, 028043 P.R. China
E-mail: byebed@163.com


In this paper, under the condition of D-differentiation, we consider the fuzzy programming problem with the general fuzzy mapping (non-convex) as the objective mapping. By discussing the characteristics of the optimal solution of unconstrained fuzzy programming, we give the KKT condition of the optimal solution of more general fuzzy programming with real value function as the constrained condition, and some test examples. Meanwhile, we discuss the optimal condition of a special class of fuzzy programming problem with the real-valued concave function as the constrained condition and the convex fuzzy mapping as the objective mapping.


Keywords: fuzzy mapping, D-differentiability, fuzzy programming, constrained condition, optimal condition

  Retrieve PDF document (JISE_201906_09.pdf)