Fuzzy multi-level minimum cost flow problems

Fuzzy Sets and Systems

Volumn 107, Issue 2, 1999, Pages 159-176

  Shih, Hsu Shih ^a,b   Lee, E Stanley ^a  

^a Sunflower Networking Group   (United States)

^b I SHOU UNIVERSITY   (Taiwan)

Author keywords

Decision making; Minimum cost flow problem; Multi level programming; Multicriteria analysis; Network flow

Indexed keywords

EID: 0010496232     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(97)00367-9     Document Type: Article

References (23)

1. [1] R.K. Ahuja, T.L. Magnanti, J.B. Orlin, Network Flows. Prentice-Hall, Englewood Cliffs, NJ, 1993.
2. [2] J.F. Bard, Coordination of a multidivisional organization through two levels of management, Omega 11 (1983) 457-486.
3. [3] O. Ben-Ayed, Bilevel linear programming, Comput. Ops. Res. 20 (1993) 485-501.
4. [4] W.F. Bialas, M.H. Karwan, On two-level optimization, IEEE Trans. Autom. Control AC-27 (1982) 211-214.
5. [5] W.F. Bialas, M.K. Karwan, Two-level linear programming, Management Sci. 30 (1984) 1004-1020.
6. [6] J.J. Buckley, Possibilistic linear programming with triangular fuzzy numbers, Fuzzy Sets and Systems 20 (1) (1988) 135-138.
7. [7] J.J. Buckley, Solving possibilistic linear programming problems, Fuzzy Sets and Systems 31 (3) (1989) 329-341.
8. [8] S. Chanas, M. Delgado, J.L. Verdegay, M.A. Vila, Fuzzy optimal flow on imprecise structures. European J. Oper. Res. 83 (3) (1995) 568-580.
9. [9] D. Dubois, H. Prade, Fuzzy Sets and Systems, Academic Press, New York, 1980.
10. [10] J.L. Kennington, R.V. Helgason, Algorithms for Network Programming, Wiley, New York, 1980.
11. [11] E.S. Lee, R.J. Li, Fuzzy multiple objective programming and compromise programming with Pareto optimum, Fuzzy Sets and Systems 53 (1993) 275-288.
12. [12] R.J. Li, Multiple Objective Decision Making in a Fuzzy Environment. Ph.D. Dissertation, Dept. of Industrial Engineering, Kansas State University, Manhattan, KA, 1990.
13. [13] LINGO, Lindo System Inc., Chicago, 1992.
14. [14] M.K. Luhandjula, Compensatory operators in fuzzy linear programming with multiple objectives, Fuzzy Sets and Systems 8 (3) (1982) 245-252.
15. [15] M.K. Luhandjula, On possibilistic linear programming, Fuzzy Sets and Systems 18 (1) (1986) 15-30.
16. [16] D. Negi, Fuzzy Analysis and Optimization, Ph.D. Dissertation, Dept. of Industrial Engineering, Kansas State University, Manhattan, KA, 1989.
17. [17] D.S. Negi, E.S. Lee, Possibility programming by the comparison of fuzzy numbers, Comput. Math. Appl. 25 (9) (1993) 43-50.
18. [18] T.W. Ruefli, A generalized goal decomposition model, Management Sci. 17 (8) (1971) B505-B518.
19. [19] H.S. Shih, Y.J Lai, E.S. Lee, Fuzzy approach for multi-level mathematical programming problems, Comput. and Oper. Res. 23 (1) (1996) 73-91.
20. [20] B.M. Werners, Aggregation models in mathematical programming, in: G. Mitra (Ed.), Mathematical Models for Decision Support, Springer, Berlin, 1988, pp. 295-305.
21. [21] M. Zeleny, Multiple Criteria Decision Making, McGraw-Hill, New York, 1982.
22. [22] H.-J. Zimmermann, P. Zysno, Latent connectives in human decision making, Fuzzy Sets and Systems 4 (1) (1980) 37-51.
23. [23] H.-J. Zimmermann, P. Zysno, Decision and evaluations by hierarchical aggregation of information, Fuzzy Sets and Systems 10 (1983) 243-260.