Affiliations: [a]
Department of Mathematics, Miranda House, University of Delhi, Delhi, India
| [b]
Department of Mathematics, University of Delhi, Delhi, India
Correspondence:
[*]
Corresponding author. Shashi Aggarwal, Department of Mathematics, Miranda House,
University of Delhi, Delhi 110007, India. Tel.: +91 9810648003; E-mail: [email protected].
Abstract: In this paper, a new concept of deviation distance and deviation degree between two closed intervals is being introduced. A new algorithm has been proposed to solve a Fully Fuzzy Multiobjective Linear Programming (FFMOLP) problem with all the constraints as fuzzy inequalities. In the algorithm, the FFMOLP problem is transformed into Crisp Nonlinear Programming (CNLP) problem by using the proposed concept of deviation degree, fuzzy nearest interval approximation, and goal programming (GP) technique. Then, it is proved that the δ-optimal solution of the CNLP problem is the fuzzy Pareto optimal solution of FFMOLP problem. Finally, to illustrate our method and to show its effectiveness, numerical examples are solved and are compared with the existing methods.
