Aggregation of fuzzy values in linear programming problems

Automatic Control and Computer Sciences

Volumn 37, Issue 2, 2003, Pages 1-11

  Nasibov, E N ^a  

^a EGE UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; DECISION MAKING; FUZZY SETS; PROBLEM SOLVING; THEOREM PROVING;

FUZZY INFORMATION; WEIGHTING COEFFICIENTS;

LINEAR PROGRAMMING;

EID: 1442311555     PISSN: 01464116     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. T.J. Ross, Fuzzy Logic with Engineering Applications, McGraw-Hill, 1995.
2. W. Pedrycz and F. Gomide, An Introduction to Fuzzy Sets. Analysis and Design, MIT Press (Bradford Book), 1998.
3. A.N. Borisov, O.A. Kruberg, and I.P. Fedorov, Decision Making on the Basis of Fuzzy Models [in Russian], Zinatne, Riga, 1990.
4. E.N. Nasibov, Methods of Processing Fuzzy Information in Decision-Making Problems [in Russian], Elm, Baku, 2000.
5. T. Calvo and R. Mesiar, "Criteria importance in median-like aggregation," IEEE Trans. Fuzzy Systems, vol. 9, no. 4, pp. 662-666, 2001.
6. J.V. Oliveira, "A set-theoretical defuzzification method," Fuzzy Sets and Systems, vol. 76, pp. 63-71, 1995.
7. R. Yager and D. Filev, "On the issue of defuzzification and selection based on a fuzzy set," Fuzzy Sets and Systems, vol. 55, pp. 222-271, 1993.
8. R.R. Yager, "Knowledge-based defuzzification," Fuzzy Sets and Systems, vol. 80, pp. 177-185, 1996.
9. R.R. Yager, "Constrained OWA aggregation," Fuzzy Sets and Systems, vol. 81, pp. 89-101, 1996.
10. E.N. Nasibov, "On linear transformations with fuzzy arguments, " Izv. Akad. Nauk Az.SSR. Ser. Fiz.-Tekh. i Mat. Nauk, no. 6, pp. 164-169, 1989.
11. E.N. Nasibov, "On certain numerical indicators of fuzzy numbers," Proc. All-Union Scientific Conf. "Improving the Intelligence of Control Systems," Baku, 1991, pp. 33-34.
12. E.N. Nasibov, On Two Average Characteristics of Fuzzy Numbers [in Russian], Deposited in VINITI February 14, 1991, no. 772-V91.
13. E.N. Nasibov, "Certain numerical characteristics of fuzzy sets," Izv. Akad. Nauk Az. Rep. Ser. Fiz.-Tekh. i Mat. Nauk, no. 3-4, pp. 157-160, 1999.
14. G. Bortolan and R. Degani, "A review of some methods for ranking fuzzy subsets," Fuzzy Sets and Systems, vol. 15, pp. 1-19, 1985.
15. D. Dubois and H. Prade, "Ranking fuzzy numbers in setting of possibility theory," Inform. Sci., vol. 30, pp. 183-224, 1983.
16. A. Kaufmann and M. M. Gupta, Introduction to Fuzzy Arithmetic: Theory and Applications, Van Nostrand Reinhold, New York, 1991.
17. Y. Nakahara, "User oriented ranking criteria and its application to fuzzy mathematical programming problems," Fuzzy Sets and Systems, vol. 94, pp. 275-286, 1998.
18. E.N. Nasibov, "Decomposition-adequate statements of fuzzy decision problems and solution methods," Vesti BGU. Ser. Fiz.-Mat. Nauk, no. 1, pp. 160-168, 2001.
19. J. M. Cadenas and J. L. Verdegay, "PROBO: an interactive system in fuzzy linear programming," Fuzzy Sets and Systems, vol. 76, pp. 319-332, 1995.
20. S. Chanas and D. Kuchta, "A concept of the optimal solution of the transportation problem with fuzzy cost coefficients," Fuzzy Sets and Systems, vol. 82, pp. 299-305, 1996.
21. S.C. Fang, C. F. Hu, H. F. Wang, and S. Y. Wu, "Linear programming with fuzzy coefficients in constraints," Comp. and Math. with Applications, vol. 37, pp. 63-76, 1999.
22. Li Han-Lin and Yu Chian-Son, "An algorithm for generalized fuzzy binary linear programming problems," Fuzzy Sets and Systems, vol. 133, pp. 496-511, 2001.
23. F. Herrera and J.L. Verdegay, "Three models of fuzzy integer linear programming," EJOR, vol. 83, pp. 581-593, 1995.
24. K.D. Jamison and W. A. Lodwick, "Fuzzy linear programming using a penalty method," Fuzzy Sets and Systems, vol. 119, pp. 97-110, 2001.
25. R. Verma, M.P. Biswal, and A. Biswas, "Fuzzy programming technique to solve multi-objective transportation problems with some non-linera membership functions," Fuzzy Sets and Systems, vol. 91, pp. 37-43, 1997.
26. H.J. Zimmermann, "Fuzzy programming and linear programming with several objective functions," Fuzzy Sets and Systems, vol. 1, pp. 45-55, 1978.
27. Dzh. A. Babaev and E.N. Nasibov, "Interactive approach to the solution of fuzzy problems of integer linear programming," Izv. Akad. Nauk Az. Rep. Ser. Fiz.-Tekh. i Mat. Nauk, no. 1, pp. 113-116, 1987.
28. Dzh.A. Babaev and E.N. Nasibov, On the Solution of Linear Programming Problems with Fuzzy Parameters [in Russian], Deposited in VINITI, August 8, 1987, no. 5534-V87.
29. R.E. Bellman and L.A. Zadeh, "Decision making in a fuzzy environment," Management Sci., vol. 17, pp. 141-164, 1970.