Year 2019, Volume 48 , Issue 6, Pages 1824 - 1837 2019-12-08

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

Susanta BANİK [1] , Debasish BHATTACHARYA [2]


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.
De Novo Programming, Fuzzy Numbers, Min-max Goal Programming, Multi-Objective Programming, Degree of Possibility
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Primary Language en
Subjects Mathematics
Journal Section Mathematics
Authors

Orcid: 0000-0002-2914-3238
Author: Susanta BANİK
Institution: National Institute of Technology
Country: India


Orcid: 0000-0002-9264-9813
Author: Debasish BHATTACHARYA (Primary Author)
Institution: National Institute of Technology
Country: India


Dates

Publication Date : December 8, 2019

Bibtex @research article { hujms515726, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, pages = {1824 - 1837}, doi = {10.15672/HJMS.2019.659}, title = {One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters}, key = {cite}, author = {BANİK, Susanta and BHATTACHARYA, Debasish} }
APA BANİK, S , BHATTACHARYA, D . (2019). One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters. Hacettepe Journal of Mathematics and Statistics , 48 (6) , 1824-1837 . DOI: 10.15672/HJMS.2019.659
MLA BANİK, S , BHATTACHARYA, D . "One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1824-1837 <https://dergipark.org.tr/en/pub/hujms/issue/50516/515726>
Chicago BANİK, S , BHATTACHARYA, D . "One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1824-1837
RIS TY - JOUR T1 - One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters AU - Susanta BANİK , Debasish BHATTACHARYA Y1 - 2019 PY - 2019 N1 - doi: 10.15672/HJMS.2019.659 DO - 10.15672/HJMS.2019.659 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1824 EP - 1837 VL - 48 IS - 6 SN - 2651-477X-2651-477X M3 - doi: 10.15672/HJMS.2019.659 UR - https://doi.org/10.15672/HJMS.2019.659 Y2 - 2018 ER -
EndNote %0 Hacettepe Journal of Mathematics and Statistics One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters %A Susanta BANİK , Debasish BHATTACHARYA %T One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 6 %R doi: 10.15672/HJMS.2019.659 %U 10.15672/HJMS.2019.659
ISNAD BANİK, Susanta , BHATTACHARYA, Debasish . "One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters". Hacettepe Journal of Mathematics and Statistics 48 / 6 (December 2019): 1824-1837 . https://doi.org/10.15672/HJMS.2019.659
AMA BANİK S , BHATTACHARYA D . One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1824-1837.
Vancouver BANİK S , BHATTACHARYA D . One-step approach for solving general multi-objective De Novo programming problem involving fuzzy parameters. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1837-1824.