Solving fuzzy shortest path problems by neural networks

Computers and Industrial Engineering

Volumn 31, Issue 3-4, 1996, Pages 861-865

  Li, Yinzhen ^a   Gen, Mitsuo ^a   Ida, Kenichi ^a  

^a ASHIKAGA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Fuzzy Sets Theory; Neural Network; Shortest Path Problem

Indexed keywords

COMPUTER SIMULATION; FUZZY SETS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING;

CRISP SHORTEST PATH MODEL; SHORTEST PATH PROBLEM;

NEURAL NETWORKS;

EID: 0030416605     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0360-8352(96)00278-1     Document Type: Article

References (9)

1. Ahuja, R. K., T. L. Magnanti and J. B. Orlin: Network Flows: Theory , Algorithms, and Applications, Prentice-Hall, Inc. 1993.
2. Okada, S., M. Gen and K. Ida: "A Method for Solving Multiple Objective Linear Programming Problems with Triangular Fuzzy Coefficients", Journal of EICA A, Vol. J75-A, No.6, pp.1109-1112, 1992(In Japanese).
3. Lai, Y.- J. and C.- L. Hwang: Fuzzy Mathematical Programming: Methods and Applications, Springer-Verlag, 1994.
4. Ida, K. and M. Gen: "An Algorithm for Solving Bicriteria Shortest Path Problems with Fuzzy Coefficients", be appeared in Journal of Japan Society for Fuzzy Theory and Systems, Vol. 7, No. 2, 1995.
5. Looi, Choe-Kit: "Neural Network Methods in Combinatorial Optimization", Computers Ops. Res. Vol. 19, No. 3/4, pp.191-208, 1992.
6. Wang J. and V. Chankong: "Recurrent Neural Network for Linear Programming: Analysis and Design Principles", Computers Ops Res. Vol. 19, pp.297-311, 1992.
7. Zhu, X.Z., S.W. Zhang and A.G. Constantinides : " Lagrange Neural Networks for Linear Programming", Journal of Parallel and Distributed Computing 14, pp.354-360, 1992.
8. Cicliocki, A, and R. Unbehauen : Neural Networks for Optimization & Signal Processing, Wiley,1993
9. Żak, S. H., V. Upatising, and S. Hui: "Solving Linear Programming Problems with Neural Networks: A Comparative Study", IEEE Trans. on Neural Networks, Vol.6, No.1, 1995.