Affiliations: [a] Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India
| [b] Department of Mathematics, Marwari College, Bihar, India
| [c] Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
Correspondence:
[*]
Corresponding author. S.K. Gupta, Department of Mathematics, Indian Institue of Technology Roorkee,
Roorkee-247 667, Uttarakhand, India. E-mail: [email protected].
Abstract: In this study, we propose a formulation of a Mond-Weir type dual program for a multiobjective nonlinear optimization problem under fuzzy environment. To deal with the multiobjectivity in the formulation, we consider the concept of weak Pareto optimal solution in the fuzzy sense. We use the Hukuhara metric/ difference to define the distance/difference between two fuzzy numbers. Further, we establish weak and strong duality theorems under fuzzy pseudo/quasi-convexity assumptions. Moreover, we also validate these duality relations using various numerical illustrations.
