Open AccessMatrix Maxima Method to Solve Multi-objective Transportation Problem with a Pareto Optimality Criteria
Author(s) -
K.L. Singh,
Sanjeev Rajan
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.k2134.0981119
Subject(s) - pareto principle , mathematical optimization , maxima , pareto optimal , maxima and minima , mathematics , matrix (chemical analysis) , multi objective optimization , pareto interpolation , fuzzy logic , function (biology) , computer science , generalized pareto distribution , statistics , extreme value theory , artificial intelligence , art , mathematical analysis , materials science , evolutionary biology , performance art , composite material , biology , art history
In this paper we proposed a new method (Matrix Maxima Method) using Geometric mean approach to solve multiobjective transportation problem with a Pareto Optimality Criteria. Fuzzy membership function is used to convert objectives into membership values and then we take Geomertic mean of membership values. We used a different criteria to find Pareto Optimal Solution. This is an easy and fast method to find the Pareto Optimal solution. The method is illustrated by numerical examples. The result is compared with some other available methods in the literature.