Fuzzy location problems on networks

Fuzzy Sets and Systems

Volumn 142, Issue 3, 2004, Pages 393-405

  Pérez, José A Moreno ^a   Vega, J Marcos Moreno ^a   Verdegay, José L ^b  

^a UNIVERSIDAD DE LA LAGUNA   (Spain)

^b UNIVERSITY OF GRANADA   (Spain)

Author keywords

Fuzzy sets; Location; Networks

Indexed keywords

ALGORITHMS; GRAPH THEORY; LINEAR PROGRAMMING; TREES (MATHEMATICS);

FUZZY NUMBERS; NETWORKS;

FUZZY SETS;

EID: 17444440353     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(03)00091-5     Document Type: Article

References (15)

1. Canos M.J., Ivorra C., Liern V. An exact algorithm for the fuzzy p-median problem. European J. Oper. Res. 116:1999;80-86.
2. Canos M.J., Ivorra C., Liern V. The fuzzy p-median problem. a global analysis of the solutions European J. Oper. Res. 130:2001;430-436.
3. Chanas S., Delgado M., Verdegay J.L., Vila M.A. Fuzzy optimal flow on imprecise structures. European J. Oper. Res. 83:1995;568-580.
4. Delgado M., Verdegay J.L., Vila M.A. On fuzzy tree definition. European J. Oper. Res. 22:1985;243-249.
5. Delgado M., Verdegay J.L., Vila M.A. On valuation and problems in fuzzy graphs. a general approach and some particular cases ORSA J. Comput. 2:1990;74-84.
6. Hakimi S.L. Optimal locations of switching centers and the absolute centers and medians of a graph. Oper. Res. 12:1964;450-459.
7. Herrera F., Verdegay J.L. Three models of fuzzy integer linear programming. European J. Oper. Res. 83:1995;581-593.
8. Herrera F., Verdegay J.L. Fuzzy boolean programming problems with fuzzy costs. a general study Fuzzy Sets and Systems. 81:1996;57-76.
9. Hooker J.N., Garfinkel R.S., Chen C.K. Finite dominating sets for network location problems. Oper. Res. 39:1991;100-118.
10. A. Kaufman, Introduction a la Theorie des Sous-emsembles Flous, vol. I, Masson et Cie, 1973.
11. J.N. Mordeson, P.S. Nair, Fuzzy graphs and fuzzy hypergraphs, Studies in Fuzziness and Soft Computing, Physica-Verlag, Wurzburg, 2000.
12. Okada S., Soper T. A shortest path problem on a network with fuzzy arc lengths. Fuzzy Sets and Systems. 109:2000;129-140.
13. Rosenfeld A. Fuzzy graph. Zadeh L.A., Fu K.S., Tanaka K., Shimura M. Fuzzy Sets and Their Applications to Cognitive and Decision Processes. 1975;79-97 Academic Press, New York.
14. Syau Y.R. On convex and concave fuzzy mappings. Fuzzy Sets and Systems. 103:1999;163-168.
15. Zadeh L.A. Fuzzy sets. Information and Control. 8:1965;338-353.