Hacettepe Journal of Mathematics and Statistics 2651-477X 2651-477X Hacettepe University 10.15672/HJMS.2019.659 Mathematical Sciences Matematik One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters https://orcid.org/0000-0002-2914-3238 Banik Susanta National Institute of Technology https://orcid.org/0000-0002-9264-9813 Bhattacharya Debasish National Institute of Technology 12 08 2019 48 6 1824 1837 06 07 2018 08 25 2018 Copyright © 2002, Hacettepe Journal of Mathematics and Statistics 2002 Hacettepe Journal of Mathematics and Statistics

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.

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