Fuzzy mathematical programming based on some new inequality relations

Abstract This paper deals with inequality relations in fuzzy mathematical programming problem (FMP) not necessarily linear. Moreover, fuzzy parameters may have nonlinear membership functions. A new approach for comparing fuzzy sets is proposed, which is more general than the well known proposals in the literature.

[1]  G. Bortolan,et al.  A review of some methods for ranking fuzzy subsets , 1985 .

[2]  Hans Bandemer Modelling uncertain data , 1992 .

[3]  Lourdes Campos,et al.  Linear programming problems and ranking of fuzzy numbers , 1989 .

[4]  Jaroslav Ramík,et al.  Canonical fuzzy numbers of dimension two , 1993 .

[5]  J. Ramík,et al.  A single- and a multi-valued order on fuzzy numbers and its use in linear programming with fuzzy coefficients , 1993 .

[6]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[7]  R. Słowiński A multicriteria fuzzy linear programming method for water supply system development planning , 1986 .

[8]  H. Zimmermann Fuzzy programming and linear programming with several objective functions , 1978 .

[9]  M. Vila,et al.  A general model for fuzzy linear programming , 1989 .

[10]  R. Spies,et al.  Entscheiden bei unschärfe — Fuzzy decision support systeme: Springer-Verlag, Berlin, 1988, ix + 304 pages, DM45.00 , 1990 .

[11]  J. Ramík,et al.  Inequality relation between fuzzy numbers and its use in fuzzy optimization , 1985 .

[12]  Janusz Kacprzyk,et al.  Interactive Fuzzy Optimization , 1991 .

[13]  Jaroslav Ramík Fuzzy Preferences in Linear Programming , 1991 .

[14]  C. Hwang,et al.  Fuzzy Mathematical Programming: Methods and Applications , 1995 .

[15]  H. Kunzi,et al.  Lectu re Notes in Economics and Mathematical Systems , 1975 .