One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters

Year 2019, Volume: 48 Issue: 6, 1824 - 1837, 08.12.2019

Susanta Banik Debasish Bhattacharya

https://doi.org/10.15672/HJMS.2019.659

Cited By: 2

Abstract

Multi-objective De Novo Programming is a user-friendly device for optimal system design. There exist no method for solving general multi-objective De Novo Programs. Only some special cases have been discussed. This paper proposes a one-step method for solving a general De Novo Programming Problem using a Min-max Goal Programming technique where the parameters involved are all fuzzy numbers. The solution obtained is an efficient solution of the problem considered. The present approach is much more realistic than the standard De Novo Programming with crisp parameters. Two numerical examples are given to illustrate the solution procedure.

Keywords

De Novo Programming, Fuzzy Numbers, Min-max Goal Programming, Multi-Objective Programming, Degree of Possibility

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