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Reseach Article

A Fuzzy Technique for Solving Rough Interval Multiobjective Transportation Problem

by Mohamed S. Osman, Mahmoud M. El-Sherbiny, Hamdeen A. Khalifa, Hanan H. Farag
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 147 - Number 10
Year of Publication: 2016
Authors: Mohamed S. Osman, Mahmoud M. El-Sherbiny, Hamdeen A. Khalifa, Hanan H. Farag
10.5120/ijca2016911204

Mohamed S. Osman, Mahmoud M. El-Sherbiny, Hamdeen A. Khalifa, Hanan H. Farag . A Fuzzy Technique for Solving Rough Interval Multiobjective Transportation Problem. International Journal of Computer Applications. 147, 10 ( Aug 2016), 49-57. DOI=10.5120/ijca2016911204

@article{ 10.5120/ijca2016911204,
author = { Mohamed S. Osman, Mahmoud M. El-Sherbiny, Hamdeen A. Khalifa, Hanan H. Farag },
title = { A Fuzzy Technique for Solving Rough Interval Multiobjective Transportation Problem },
journal = { International Journal of Computer Applications },
issue_date = { Aug 2016 },
volume = { 147 },
number = { 10 },
month = { Aug },
year = { 2016 },
issn = { 0975-8887 },
pages = { 49-57 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume147/number10/25693-2016911204/ },
doi = { 10.5120/ijca2016911204 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:52:02.947414+05:30
%A Mohamed S. Osman
%A Mahmoud M. El-Sherbiny
%A Hamdeen A. Khalifa
%A Hanan H. Farag
%T A Fuzzy Technique for Solving Rough Interval Multiobjective Transportation Problem
%J International Journal of Computer Applications
%@ 0975-8887
%V 147
%N 10
%P 49-57
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper the rough interval multiobjective transportation problem (RIMOTP) is presented and its solution procedure is introduced. The concept of solving the interval multiobjective transportation problem is applied for solving RIMOTP. So, The rough interval in the objective function and the constrains, is represented by three different models and such models are solved by using fuzzy programming technique based on the right limit, the center and the half-width of each rough interval using possibly region. Numerical examples are provided to illustrate the solution procedure of three possible types of the original problem.

References
  1. Abd El-Wahed W.F "A multi-objective transportation problem under fuzziness" Fuzzy Sets and Systems. 117 (2001) 27-33.
  2. A.K. Bit, M.P. Biswal, S.S. Alam, "Fuzzy programming approach to multicriteria decision making transportation problem", Fuzzy Sets and Systems. 50 (1992) 135-142.
  3. Ammar E. E. and Khalifa A. M " On Solving of Rough Interval multiobjective transportation problems" Journal of Advances in Physics. 7 (2014) 1233-1244.
  4. Das.S.K,Coswami.A and Alam.S. S" Multiobjective Transportation Problems with Interval Cost, Source and Destination Parameters" European Journal of operational research 117 (1999) 100-110.
  5. El-Sisy M. A.F, Osman MSA, and Eid MH, "On duality of Multiobjective convex Programming Problem ", Applied &computational mathematics. 4(2015).
  6. Hongwei lu,Guohe H.and Li"An inexact rough –interval fuzzy liner programming method for generating conjunactive water-allocation strategies to agricultural irrigation system35(2011) 689-696.
  7. Lee S.M and Abd El-wahed.W.F, "Interactive fuzzy goal programming multiobjective transportation problem", Omega 34 (2006)158-166.
  8. Mohanty, S. P. and Subhakanta, D. "Transportation Programming under Uncertain Environment" International Journal of Engineering Research and Development 2013(7) 22-28.
  9. Osman. M.S, E.F. Lashein, Youness. E.A., and Attya T.E.M. "Rough Mathematical Programming Optimization,” A Journal of Mathematical Programming and Operations Research, 58 (2009)1-8.
  10. Osman .M.S.,El-Sherbiny. M.M. N,Khalifa.H.A,and. Hanan.H.H.Farag"Solving rough interval cost of transportation problem with source and destination parameters" The 49th annual Conference on statistics,Computer Sciences and Operations research (2014)17-29
  11. Osman .M.S., El-Sherbiny. M.M.N, Khalifa.H.A, and. Hanan.H.H.Farag" A Linear Programming Method for Solving Rough Interval Transportation Problem" The 50th annual Conference on statistics, Computer Sciences and Operations research (2015)1-15
  12. Pawlak.Z," Rough Sets", International Journal of Computer and Information Science 11 (1982) 341-356.
  13. Rebolledo M., Rough intervals – enhancing intervals for qualitative modeling of technical systems, Artif. Intell. 170 (2006) 667–685.
  14. Xu Jiuping, and Zhimiao T."A Class of Rough Multiple Objective Programming and its Application to Solid Transportation problem"; Information Sciences, 188 (2012) 215-235.
  15. Youness E.A."Characterizing Solution of Rough Programming Problems" Journal of Operational Research, 168 (2006)1019-1029.
  16. Zimmermann, H.J. “Fuzzy Programming and Linear Programming with Several Objective functions”; Fuzzy Sets and systems. 1 (1978) 45-55.
Index Terms

Computer Science
Information Sciences

Keywords

Rough interval multiobjective programming transportation problem fuzzy programming technique Pareto optimal solution