Multi-objective non-linear programming problem based on Neutrosophic Optimization Technique and its application in Riser Design Problem

Abstract

Neutrosophic set is a part of
neutrosophy which studies the origin, nature,
and scope of neutralities, as well as their
interactions with different ideational spectra.
Neutrosophic set is a powerful general formal
framework that has been recently proposed. The
paper aims to give computational algorithm to
solve a multi-objective non-linear programming
problem (MONLPP) using neutrosophic
optimization method. The proposed method is
for solving MONLPP with single valued
neutrosophic data. We made a comparative
study of optimal solution between intuitionistic
fuzzy and neutrosophic optimization technique.
The developed algorithm has been illustrated by
a numerical example. Finally, optimal riser
design problem is presented as an application of
such technique.