Solution of some multi-objective nonlinear programming problems ∗

Jyotirmaya  Brahma; Dwiti Krushna  Behera; Priyadarsini Rath

doi:10.48165/

Authors

Jyotirmaya Brahma Department of Mathematics, Ravenshaw University, Cuttack, Odisha, India.
Dwiti Krushna Behera Department of Mathematics, Ravenshaw University, Cuttack, Odisha, India.
Priyadarsini Rath Department of Mathematics, Ravenshaw University, Cuttack, Odisha, India.

DOI:

https://doi.org/10.48165/

Keywords:

Nonlinear Programming Problem, Separable Programming, Linear Mem bership Function, Fuzzy Programming Technique, Multi-objective Nonlinear Program ming Problem

Abstract

In this paper a method for solving bi-objective nonlinear programming prob lem is derived. Here, the bi-objective nonlinear programming problem is converted into a crisp problem using Zimmermann’s fuzzy programming technique with linear membership function and after that the crisp problem is solved by separable programming technique to find the optimal compromise solution. A numerical example is given for the sake of illustration.

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Jyotirmaya Brahma, Dwiti Krushna Behera and Priyadarsini Rath

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