Discrete fuzzy optimization

The chapter presents selected problems and algorithms of fuzzy discrete optimization. The problems discussed constitute fuzzy equivalents of the following crisp ones: the maximal and cheapest flow and the shortest route problem in a network, the transportation and assignment problems, the CPM and PERT method, a selection of scheduling problems, the set covering problem, the knapsack problem as well as the general 0–1 programming problem.

[1]  M. Gen,et al.  An effective method for solving flow shop scheduling problems with fuzzy processing times , 1993 .

[2]  Frank Harary,et al.  Graph Theory , 2016 .

[3]  K. Zimmermann,et al.  On Max-Separable Optimization Problems , 1984 .

[4]  S. Chanas,et al.  THE USE OF FUZZY VARIABLES IN PERT , 1981 .

[5]  Stefan Chanas FUZZY SETS IN FEW CLASSICAL OPERATIONAL RESEARCH PROBLEMS , 1993 .

[6]  Stefan Chanas,et al.  Integer flows in network with fuzzy capacity constraints , 1986, Networks.

[7]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[8]  R. A. Dudek,et al.  A Heuristic Algorithm for the n Job, m Machine Sequencing Problem , 1970 .

[9]  Hiroaki Ishii,et al.  Two scheduling problems with fuzzy due-dates , 1992 .

[10]  Didier Dubois,et al.  Fuzzy constraints in job-shop scheduling , 1995, J. Intell. Manuf..

[11]  Foster L. Weldon Cargo Containerization in the West Coast-Hawaiian Trade , 1958 .

[12]  Roman Słowiński,et al.  A DSS for Ressource—Constrained Project Scheduling under Uncertainty , 1993 .

[13]  Karel Zimmermann FUZZY SET COVERING PROBLEM , 1991 .

[14]  S. Chanas,et al.  A fuzzy approach to the transportation problem , 1984 .

[15]  Hiroaki Ishii,et al.  One machine scheduling problem with fuzzy duedates , 1994 .

[16]  S. Orlovsky Decision-making with a fuzzy preference relation , 1978 .

[17]  Mitsuo Gen,et al.  An efficient approach for large scale project planning based on fuzzy Delphi method , 1995, Fuzzy Sets Syst..

[18]  Roman Slowinski,et al.  Fuzzy priority heuristics for project scheduling , 1996, Fuzzy Sets Syst..

[19]  S. Chanas Fuzzy Optimization in Networks , 1987 .

[20]  H. Ishibuchi,et al.  Local search algorithms for flow shop scheduling with fuzzy due-dates☆ , 1994 .

[21]  S. Chanas,et al.  Assignment problem with fuzzy estimates of effectiveness , 1980 .

[22]  Miguel Delgado,et al.  Interval and fuzzy extensions of classical transportation problems , 1993 .

[23]  Janet Efstathiou,et al.  Applications of fuzzy set methodologies in industrial engineering , 1990 .

[24]  A. Jaszkiewicz,et al.  Fuzzy project scheduling with multiple criteria , 1997, Proceedings of 6th International Fuzzy Systems Conference.

[25]  Bernard Grabot,et al.  Dispatching rules in scheduling Dispatching rules in scheduling: a fuzzy approach , 1994 .

[26]  D. Malcolm,et al.  Application of a Technique for Research and Development Program Evaluation , 1959 .

[27]  Wolfgang Slany,et al.  Scheduling as a fuzzy multiple criteria optimization problem , 1996, Fuzzy Sets Syst..

[28]  Stefan Chanas,et al.  Maximum flow in a network with fuzzy arc capacities , 1982 .

[29]  Heinrich Rommelfanger Network analysis and information flow in fuzzy environment , 1994 .

[30]  S. Chanas,et al.  Single value simulation of fuzzy variables , 1988 .

[31]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[32]  H. Zimmermann Fuzzy sets, decision making, and expert systems , 1987 .

[33]  Dorota Kuchta,et al.  Fuzzy integer transportation problem , 1998, Fuzzy Sets Syst..

[34]  Oliver D. Anderson Graph Theory in Operations Research , 1982 .

[35]  Hideo Tanaka,et al.  Genetic algorithms and neighborhood search algorithms for fuzzy flowshop scheduling problems , 1994 .

[36]  Kwang-Nam Hyun Reliability Optimization by 0-1 Programming for a System with Several Failure Modes , 1975, IEEE Transactions on Reliability.

[37]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[38]  Madan M. Gupta,et al.  Approximate reasoning in decision analysis , 1982 .

[39]  Waldemar Koodziejczyk Orlovsky's concept of decision-making with fuzzy preference relation—Further results , 1986 .

[40]  Mitsuo Gen,et al.  Fuzzy multiple choice knapsack problem , 1994 .

[41]  Suresh Rai,et al.  Distributed Computing Network Reliability , 1990 .

[42]  J. Buckley,et al.  Fuzzy hierarchical analysis , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[43]  S. M. Johnson,et al.  Optimal two- and three-stage production schedules with setup times included , 1954 .

[44]  S. Chanas,et al.  Real-valued flows in a network with fuzzy arc capacities , 1984 .

[45]  Henri Prade,et al.  Operations Research with Fuzzy Data , 1980 .

[46]  E.Stanley Lee,et al.  Fuzzy job sequencing for a flow shop , 1992 .

[47]  Andrzej Jaszkiewicz,et al.  Fuzzy project scheduling system for software development , 1994 .

[48]  Luís M. M. Custódio,et al.  Production planning and scheduling using a fuzzy decision system , 1994, IEEE Trans. Robotics Autom..

[49]  Dorota Kuchta,et al.  A concept of the optimal solution of the transportation problem with fuzzy cost coefficients , 1996, Fuzzy Sets Syst..

[50]  Maw-Sheng Chern,et al.  The fuzzy shortest path problem and its most vital arcs , 1993 .

[51]  G. Nemhauser,et al.  Integer Programming , 2020 .