Grey Situation Decision-Making Theory Based New Method for Solving Multi- Objective Transportation

Jignasha G. Patel; Jayesh M. Dhodiya

doi:https://doi.org/10.14445/22315373/IJMTT-V35P520

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 35 | Number 2 | Year 2016 | Article Id. IJMTT-V35P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P520

Grey Situation Decision-Making Theory Based New Method for Solving Multi- Objective Transportation

Jignasha G. Patel, Jayesh M. Dhodiya

Citation :

Jignasha G. Patel, Jayesh M. Dhodiya, "Grey Situation Decision-Making Theory Based New Method for Solving Multi- Objective Transportation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 35, no. 2, pp. 151-155, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P520

Abstract

The transportation problems are framed with multi-goals which are evaluated in various scales and in the meantime in conflict. The many-sided quality of the social and monetary atmosphere require express thought of criteria other than cost around then certifiable issues like delivering an item from a few supply origin to a few interest destination can be formulated as multi-objective transportation models. Grey situation decision making is alluding to the procedure of better choice and shortcoming disposal in which different countermeasure should be preferred according to the different events. This paper applied the grey situation decision making theory for the solution of multi-objective transportation problem.

Keywords

Multi-objective transportation, effect measure, efficient solution, decision weight, grey situation.

References

[1] D. Yao-guo, Wang zheng-xin, Li Xue-mei, Xu ning, ―The Optimization Model of Objective Weight in Grey Situation Decision, in IEEE GSIS, 2009, Pg: 1025 - 1028.
[2] D. Rani, A. Kumar, ―Fuzzy Programming Technique for Solving Different Types of Multi-objective Transportation Problem, M. Sci. thesis, School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India, 2010.
[3] G. Bai and L. Yao, ―A simple Algorithm for the Multi-objective Transportation Model, Business Management and Electronic Information (BMEI), IEEE Vol. 2 Pg: 479-482, 2011.
[4] H. Gonce Kocken and M. Ahlatcioglu, ―A Compensatory Approach to Multi-objective Linear Transportation Problem with Fuzzy Cost Coefficients, Hindawi Publishing Corporation, Mathematical Problems in Engineering, Article ID 103437, Pgs-19, 2011.
[5] J.L. Deng, ―The introduction of grey system, The Journal of Grey System, vol. 1 (1), Pg: 1–24, 1989.
[6] K. Patel and J. M. Dhodiya, ―Fuzzy theory based solution of multi objective resource allocation problem: A case study of food factory, International Journal of Mathematics Trends and Technology, Vol. 34(2), 2016.
[7] K Venkatasubbaiah, S G Acharyulu, K V V Chandra Mouli, ―Fuzzy Goal Programming Method for Solving Multi-Objective Transportation Problems Global Journal of Research in Engineering, Vol. 11(3) Version 1, Apr. 2011.
[8] M. I. Moussa, ―A Visual Comparative Study of Multi-Objective Transportation Problem in Several Approaches, International Journal of Management & Information Technology, Vol. 7, No. 1, Pg-902-911, 2013.
[9] M. Zangiabadi and H. R. Maleki, ―Fuzzy goal programming for multiobjective transportation problems, J. Appl. Math. & Computing, Vol. 24, No. 1 - 2, pp. 449 – 460, 2007.
[10] M. Zangiabadi and H. R. Maleki, ―Fuzzy goal programming technique to solve multi-objective transportation problems with some non-linear membership functions, Iranian journal of fuzzy systems, vol. 10, no. 1, pp. 61-74, 2013.
[11] P.K. Deand Bharti Yadav, ―A Mathematical Model of Multi-Criteria Transportation Problem with Application of Exponential Membership Function, International Journal of Computational Science and Mathematics, Vol. 3, pp. 111-120, 2011.
[12] S. F. Liu, Y. G. Dang and Z. G. Fang, Grey System Theory and Its Application, Beijing: Science, Nov. 2004.
[13] S. Liu and Y. Lin, Grey Information: Theory and Practical Applications, Springer Science & Business media, Mar. 2006.
[14] V. Vinoba and R. Palaniyappa, ―A study on North east corner method in Transportation Problem and using of Object Oriented Programming model (C++), International Journal of Mathematics Trends and Technology, Vol. 16 (1), Dec 2014
[15] W. Zheng-Xin, C. Bing, ―A Novel Grey Situation Decision Making Model with Grey Numbers, in Proc. GSIS, IEEE, 2011, Pg: 592 – 596.
[16] Y. Wang, J. Du, H. Wang, Chuanlei Yang, ―Grey Decision Making Theory Approach to the Turbocharged Diesel Engine, in Proc. GSIS, IEEE, 2007, Pg: 784 – 78.