Matrix Maxima Method to Solve Multi-objective Transportation Problem with a Pareto Optimality Criteria | Zendy

Khilendra Singh | Zendy; Sanjeev Rajan | Zendy

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Matrix Maxima Method to Solve Multi-objective Transportation Problem with a Pareto Optimality Criteria

Author(s) -

Khilendra 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 , maxima and minima , pareto optimal , mathematics , matrix (chemical analysis) , pareto interpolation , multi objective optimization , 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.

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