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A SHORT NOTE ON THE RELATIONSHIP BETWEEN GOAL PROGRAMMING AND FUZZY PROGRAMMING FOR VECTORMAXIMUM PROBLEMS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 2، شماره 2، دی 2005، صفحه 31-36 اصل مقاله (141.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2005.480 | ||
| نویسندگان | ||
M. A. Yaghoobi  1؛ M. Tamiz2
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| 1Faculty of Mathematics and Computer Sciences, University of Kerman, Kerman, Iran | ||
| 2Department of Mathematics, University of Portsmouth, Buckingham Building, Lion Terrace, Portsmouth, PO1 3HE, UK | ||
| چکیده | ||
| A theorem was recently introduced to establish a relationship between goal programming and fuzzy programming for vectormaximum problems. In this short note it is shown that the relationship does not exist under all circumstances. The necessary correction is proposed. | ||
| کلیدواژه‌ها | ||
| Fuzzy programming؛ Goal programming؛ Fuzzy multi-objective programming | ||
| مراجع | ||
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[1] R. Bellman and L. A. Zadeh, Decision making in a fuzzy environment, Management Sciences, 17(4) (1970) B141-B164. [2] A. Charnes and W. W. Cooper, Management models and industrial applications of linear programming, John Wiley and Sons, New York, 1961. [3] M. Ehrgott, Multicriteria optimization, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag, 2000. [4] J. P. Ignizio, Goal programming and extentions, Lexington Books, London, 1976. [5] D. F. Jones and M. Tamiz, Goal programming in the period 1990-2000, In: M. Ehrgott, X. Gandibleux, (Eds.), Multicriteria Optimization: State of the Art Annotated Bibliographic Survey, Kluwer Academic Publisher, Boston, 2002, Chapter 3. [6] H. W. Kuhn and A. W. Tucker, Nonlinear programming, In: J. Neyman, (Ed.), Proceedings of 2nd Berkeley Symposium on Mathematical Statistics and Probabilities, 1951. [7] Y. -J. Lai and C. L. Hwang, Fuzzy Multiple Objective Decision Making: Methods and Applications, Lecture Notes in Economics and Mathematical Systems, Vol. 404, Springer, New York, 1994. [8] R. H. Mohamed, The relationship between goal programming and fuzzy programming, Fuzzy Sets and Systems, 89 (1997) 215-222. [9] B. B. Pal, B. N. Morita and U. Maulik, A goal programming procedure for fuzzy multiobjective linear programming problem, Fuzzy Sets and Systems, 139 (2003) 395-405. [10] R. E. Steuer, Multiple Criteria Optimization: Theory, Computation and Application, John Wiley, New York, 1986. [11] M. Tamiz, D. F. Jones and E. El-Darzi, A review of goal programming and its applications, Annals of Operations Research, 58 (1993) 39-53. [12] M. Tamiz, D. Jones and C. Romero, Goal programming for decision making: An overview of the current state-of-the-art, European Journal of Operational Research, 111 (1998) 569-581. [13] H. J. Zimmerman, Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, 1 (1978) 45-55. | ||
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