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International Journal of Systems Science Volume 26, 1995 - Issue 12
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Original Articles

On explicit and implicit solutions of fuzzy linear equations

MIROSŁW KWIESIELEWICZ Faculty of Technical Mathematics and Informatics, Delft University of Technology, P.O. box 5031, Delft, GA, 2600, The Netherlands.View further author information
Pages 2277-2286 | Received 11 Nov 1993, Published online: 10 May 2007

References

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  • DUBOIS . D. , 1987 , Linear programming with fuzzy data. Analysis of Fuzzy Information , Vol. 3 Applications in Engineering and Science, edited by J. Bezek ( CRC Press ), pp. 241 – 263 .
  • DUBOIS , D. , and PRADE , H. , 1978 , Operations on fuzzy numbers. International Journal of Systems Sci. , 9 , 613 – 626 ; 1979. Fuzzy real algebra some results. International Journal of Fuzzy Sets and Systems, 2, 327–348; 1980, Fuzzy Sets and Systems, Theory and Applications (New York Academic Press); 1988, Possibility Theory, an Approach to Computerized Processing of Uncertainty (New York Plenum Press) .
  • INUIGUCHI . M. , ICHIHASHI . J. , and TANAKA , J. , 1990 , Fuzzy programming a survey of recent developments. Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty , edited by R. Slowinski and J. Teghem ( Kluwer Academic ), pp. 45 – 68 .
  • KWIESIELEWICZ . M. , 1990 , Multihorizon production planning method using fuzzy linear programming. Ph.D. thesis , Technical University of Gdansk (in Polish) .
  • KWIESIELEWICZ , M. , STOLC . L. , 1989 , Solving linear programming problem with non—deterministic constraints using fuzzy numbers arithmetic. International Journal of Systems Science. 20 , 587 – 595 .
  • NGUYEN . H. , 1978 , A note on the extension principle for fuzzy sets. Journal of Mathematical Analysis and Application , 64 , 369 – 380 .
  • PENROSE , R. , 1955 , A generalized inverse of matrices. Proceedings of the Cambridge Philosophical Society , 51 , 406 – 413 .
  • VAN LAARHOVEN . P. J. M. , and PEDRYCZ , W. , 1983 , A fuzzy extension of Saaty's priority theory. Fuzzy Sets and Systems , 11 , 229 – 241 .
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