Fuzzy Programming: A Survey of Recent Developments

In this paper, a survey of the major types of fuzzy programming is provided classifying into the following three categories; mathematical programming with vagueness, mathematical programming with ambiguity and mathematical programming with vagueness and ambiguity.

[1]  Masatoshi Sakawa,et al.  An Interactive Fuzzy Decisionmaking Method Using Constraint Problems , 1986, IEEE Transactions on Systems, Man, and Cybernetics.

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

[3]  S. Orlovsky On formalization of a general fuzzy mathematical problem , 1980 .

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

[5]  Hidetomo Ichihashi,et al.  Fuzzy Integrals and Their Applications to Multiple Attribute Decision Problems , 1986 .

[6]  Masatoshi Sakawa,et al.  Extended pareto optimality concept for multiobjective linear programming problems with fuzzy parameters and its properties , 1990 .

[7]  Hidetomo Ichihashi,et al.  A Modalistic Formalization of Fuzzy Mathematical Programming Problems , 1989 .

[8]  A. L. Soyster,et al.  Technical Note - A Duality Theory for Convex Programming with Set-Inclusive Constraints , 1974, Oper. Res..

[9]  Masatoshi Sakawa,et al.  Interactive fuzzy decision making for multiobjective nonlinear programming usingaugmented minimax problems , 1986 .

[10]  H. Zimmermann,et al.  Latent connectives in human decision making , 1980 .

[11]  H. Zimmermann DESCRIPTION AND OPTIMIZATION OF FUZZY SYSTEMS , 1975 .

[12]  D. Dubois,et al.  Systems of linear fuzzy constraints , 1980 .

[13]  Hideo Tanaka,et al.  On Fuzzy-Mathematical Programming , 1973 .

[14]  M. K. Luhandjula Compensatory operators in fuzzy linear programming with multiple objectives , 1982 .

[15]  Roman Słowiński,et al.  An Interactive Method for Multiobjective Linear Programming with Fuzzy Parameters and Its Application to Water Supply Planning , 1987 .

[16]  J. Buckley Possibility and necessity in optimization , 1988 .

[17]  M. K. Luhandjula Linear programming with a possibilistic objective function , 1987 .

[18]  M. Inuiguchi,et al.  A solution algorithm for fuzzy linear programming with piecewise linear membership functions , 1990 .

[19]  J. E. Falk,et al.  Infinitely constrained optimization problems , 1976 .

[20]  M. K. Luhandjula Fuzzy optimization: an appraisal , 1989 .

[21]  Masahiro Inuiguchi,et al.  Solution Concepts for Fuzzy Multiple Objective Programming Problems , 1990 .

[22]  S. Vajda,et al.  Probabilistic Programming , 1972 .

[23]  Hans-Jürgen Zimmermann,et al.  Applications of fuzzy set theory to mathematical programming , 1985, Inf. Sci..

[24]  MASATOSHI SAKAWA,et al.  An interactive fuzzy satisficing method using augmented minimax problems and its application to environmental systems , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[25]  K. Asai,et al.  Fuzzy linear programming problems with fuzzy numbers , 1984 .

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

[27]  S. Orlovsky Mathematical Programming Problems with Fuzzy Parameters , 1984 .

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

[29]  Constantin Virgil Negoita,et al.  The current interest in fuzzy optimization , 1981 .

[30]  H. Rommelfanger,et al.  Linear programming with fuzzy objectives , 1989 .

[31]  Hidetomo Ichihashi,et al.  Relative modalities and their use in possibilistic linear programming , 1990 .

[32]  Hidetomo Ichihashi,et al.  The Extension of Fuzzy Preference Relation Based on the Modal Concept and Its Properties , 1988 .

[33]  Didier Dubois,et al.  Ranking fuzzy numbers in the setting of possibility theory , 1983, Inf. Sci..

[34]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[35]  Allen L. Soyster,et al.  Technical Note - Convex Programming with Set-Inclusive Constraints and Applications to Inexact Linear Programming , 1973, Oper. Res..

[36]  Hidetomo Ichihashi,et al.  Possibilistic Linear Programming with Measurable Multiattribute Value Functions , 1989, INFORMS J. Comput..

[37]  Didier Dubois,et al.  A review of fuzzy set aggregation connectives , 1985, Inf. Sci..

[38]  M. K. Luhandjula Multiple objective programming problems with possibilistic coefficients , 1987 .

[39]  G. Bitran Linear Multiple Objective Problems with Interval Coefficients , 1980 .

[40]  A. L. Soyster,et al.  Inexact linear programming with generalized resource sets , 1979 .