International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Interactive Fuzzy Linear Programming with Two-Phase Approach

  • Lee Jong-Hwan (Department of Industrial & Systems Engineering, Kumoh National Institute of Technology)
  • Published : 2006.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper is for applying interactive fuzzy linear programming for the problem of product mix planning, which is one of the aggregate planning problem. We developed a modified algorithm, which has two-phase approach for interactive fuzzy linear programming to get a better solution. Adding two-phase method, we expect to obtain not only the highest membership degree, but also a better utilization of each constrained resource.

Keywords

References

  1. Y. J. Lai and C. L. Hwang, 'Interactive fuzzy linear programming,' Fuzzy Sets and Systems, Vol. 45, pp. 169-183, 1992 https://doi.org/10.1016/0165-0114(92)90116-L
  2. R. E. Bellman and L. A. Zadeh, 'Decision-making in a fuzzy environment', Management Science, 17, pp 141-164, 1970 https://doi.org/10.1287/mnsc.17.4.B141
  3. B. Werners, 'An interactive fuzzy programming system,' Fuzzy Sets and Systems, Vol. 23, pp. 131-147, 1987 https://doi.org/10.1016/0165-0114(87)90105-9
  4. M. Zeleny 'Optimal system design with multiple criteria: de novo programming approach', Engineering costs and production economics, 10, pp 89-94, 1986 https://doi.org/10.1016/0167-188X(86)90029-7
  5. W. J. Hopp and M. L. Spearman, 'Factory Physics', McGraw-Hill, 2nd Edition, 2000
  6. H. Tanaka, and K. Asai, 'Fuzzy solution in fuzzy linear programming problems', IEEE Transactions Systems Man Cybernet, 14, pp 325-328, 1984
  7. J. L. Verdegay, 'Fuzzy mathematical programming', in M.M. Gupta and E. Sanchez, Eds., Fuzzy Information and Decision Processes, North-Holland, Amsterdam, pp 231-236, 1982
  8. F. Herrera and J. L. Verdegay, 'Three models of fuzzy integer linear programming', European Journal of Operational Research', Vol. 83, pp 581-593, 1995 https://doi.org/10.1016/0377-2217(93)E0338-X
  9. H. -J. Zimmermann, 'Description and optimization of fuzzy systems', International Journal of General Systems, Vol. 4, pp209-216, 1976
  10. E.S. Lee, and R.J. Li, 'Fuzzy multiple objective programming and compromise programming with Pareto optimum', Fuzzy Sets and Systems, Vol. 53, pp 275-288, 1993 https://doi.org/10.1016/0165-0114(93)90399-3
  11. S.M. Guu and Y.K. Wu, 'Weighted codfficients in tow-phase approach for solving the multiple objective programming problems', Fuzzy Sets and Systems, Vol. 85, pp 45-48, 1997 https://doi.org/10.1016/0165-0114(95)00360-6
  12. S-M Guu and Y-K Wu, 'Two-phase approach for solving the fuzzy linearprogramming problems', Fuzzy Sets and Systems, Vol. 107, pp. 191-195, 1999 https://doi.org/10.1016/S0165-0114(97)00304-7