I.P. Debnath
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247 667, India.
[ 1 ] - Duality for the class of a multiobjective problem with support functions under $K$-$G_f$-invexity assumptions
In this article, we formulate two dual models Wolfe and Mond-Weir related to symmetric nondifferentiable multiobjective programming problems. Furthermore, weak, strong and converse duality results are established under $K$-$G_f$-invexity assumptions. Nontrivial examples have also been depicted to illustrate the theorems obtained in the paper. Results established in this paper unify...
[ 2 ] - Exponential membership function and duality gaps for I-fuzzy linear programming problems
Fuzziness is ever presented in real life decision making problems. In this paper, we adapt the pessimistic approach tostudy a pair of linear primal-dual problem under intuitionistic fuzzy (I-fuzzy) environment and prove certain dualityresults. We generate the duality results using exponential membership and non-membership functions to represent thedecision maker’s satisfaction and dissatisfacti...
Co-Authors
S. Gupta 2