Duality for a class of fuzzy nonlinear optimization problem under generalized convexity |
| |
Authors: | S K Gupta D Dangar |
| |
Institution: | 1. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247 667, India 2. Department of Mathematics, Marwadi Education Foundation Group of Institutions, Rajkot, 360 005, India
|
| |
Abstract: | In this paper, a Mond-Weir type dual program for a nonlinear primal problem under fuzzy environment is formulated. The solution concept of primal-dual problems is inspired by the nondominated solution. We have considered ordering among fuzzy numbers as a partial ordering and using the concept of Hukuhara difference between two fuzzy numbers and $H$ -differentiability, appropriate duality theorems are established under pseudo/quasi-convexity assumptions. We have also illustrated a numerical example which satisfies the duality relations discussed in the paper. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|