TECHNICAL PAPERS
Jan 1, 1998

Treatment of Uncertainty in Study of Transportation: Fuzzy Set Theory and Evidence Theory

Publication: Journal of Transportation Engineering
Volume 124, Issue 1

Abstract

This paper examines the nature of uncertainty present in transport planning and explores appropriate mathematical treatment. Two types of uncertainty are dealt with: vagueness and ambiguity. The former refers to the uncertainty caused by the lack of definition of words, and the latter refers to the uncertainty caused by the lack of information about the subject matter. The mathematical framework that can deal with vagueness is fuzzy set theory, and that for ambiguity is evidence theory. Differences in the nature of problems that these two types of uncertainty present are examined. How to apply the appropriate mathematical technique to model these types of uncertainty is discussed, along with the basic properties of fuzzy set theory and evidence theory. Domains of transport problems that are conducive to these theories are explained, and the issues that need to be examined when using these theories are discussed.

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References

1.
Bellman, R. E., and Zadeh, L. A. (1970). “Decision making in a fuzzy environment.”Mgmt. Sci., 17(4), B-141–B-164.
2.
Chakroborty, P., and Kikuchi, S. (1992). “Examination of fuzzy notion of levels of service case of freeway traffic flow.”, Proc., 6th World Conf. on Transport Res., II, World Conference on Transport Research Society, Paris, France, 1047–1057.
3.
Cohen, L. J. (1970). The implications of induction. Methuen, London, England.
4.
Cox, E. (1994). The fuzzy systems handbook—a practical guide to building, using, and maintaining fuzzy systems. AP Professional, Cambridge, Mass.
5.
Dubois, D., and Prade, H. (1980). Fuzzy sets and systems: Theory and applications. Academic Press, New York, N.Y.
6.
Dubois, D., and Prade, H. (1988). An introduction to possibilistic and fuzzy logic, non-standard logic for automated reasoning, P. Smets et al., eds., New York Academic Press, New York, N.Y.
7.
Ishii, K., and Sugeno, M.(1988). “A model of human evaluation process using fuzzy measure.”Int. J. Man-Machine Studies, Academic Press, New York, N.Y., 22, 19–38.
8.
Kandel, A. (1986). Fuzzy expert systems. CRC Press, Boca Raton, Fla.
9.
Kandel, A., and Langholz, G. (1993). Fuzzy control systems. CRC Press, Boca Raton, Fla.
10.
Kaufmann, A., and Gupta, M. M. (1984). Introduction to fuzzy arithmetic theory and applications. Van Nostrand Reinhold, New York, N.Y.
11.
Kikuchi, S., and Chakroborty, P. (1993). “A car-following model based on fuzzy inference system.”Transp. Res. Rec. 1365, Transp. Res. Board, Washington, D.C., 82–91.
12.
Kikuchi, S., Perincherry, V., Chakroborty, P., and Takahashi, H. (1993). “Modeling of driver anxiety during signal change intervals.”Transp. Res. Rec. 1399, Transp. Res. Board, Washington, D.C., 27–35.
13.
Kikuchi, S., Vukadinović, N., and Easa, S.(1991). “Characteristics of the fuzzy LP transportation problem for civil engineering application.”Civ. Engrg. Sys., Butterworths, Surrey, England, 8, 134–144.
14.
Klir, G. J. (1991). Facets of systems science. Plenum Press, New York, N.Y.
15.
Klir, G. J.(1993). “Developments in uncertainty-based information.”Adv. in Comp., Academic Press, New York, N.Y., 36, 255–332.
16.
Klir, G. J., and Folger, T. (1988). Fuzzy sets, uncertainty and information. Prentice-Hall, Inc., Englewood Cliffs, N.J.
17.
Klir, G. J., and Yuan, B. (1995). Fuzzy sets and fuzzy logic: Theory and applications. Prentice-Hall, Inc., Englewood Cliffs, N.J.
18.
Kosko, B. (1992). Neural networks and fuzzy systems. Prentice-Hall, Inc., Englewood Cliffs, N.J.
19.
Mamdani, E. H., and Gains, B. R. (1987). Fuzzy reasoning and its applications. Academic Press, New York, N.Y.
20.
McNeill, F. M., and Thro, E. (1994). Fuzzy logic: A practical approach. AP Professional, Cambridge, Mass.
21.
Pedrycz, W. (1994). Fuzzy sets engineering. CRC Press, Boca Raton, Fla.
22.
Perincherry, V. (1994). “A generalized approach for the analysis of large scale systems under uncertainty: Application to transportation planning and engineering,” PhD dissertation, Univ. of Delaware, Newark, Del.
23.
Ross, T. J. (1995). Fuzzy logic with engineering applications. McGraw-Hill Book Co., Inc., New York, N.Y.
24.
Shackle, G. L. (1969). Decisions, order, and time in human affairs. Cambridge University Press, Cambridge, Mass.
25.
Shafer, G. (1976). A mathematical theory of evidence. Princeton University Press, Princeton, N.J.
26.
Shafer, G. (1981). “Belief functions and possibility measures.”Analysis of fuzzy information, CRC Press, Boca Raton, FL, 51–84.
27.
Terano, T., Asai, K., and Sugeno, M. (1992). Fuzzy systems theory and its applications. Academic Press, San Diego, Calif.
28.
Transportation Research Board. (1985). Highway Capacity Manual, Special Report 209, Transportation Research Board, Washington, D.C.
29.
Wang, Z., and Klir, G. J. (1992). Fuzzy measure theory. Plenum Press, New York, N.Y.
30.
Yager, R. R.(1982). “Measuring tranquility and anxiety in decision making: An application of fuzzy sets.”Int. J. General Sys., Gordon and Breach Science Publishers, New York, N.Y., 8, 139–146.
31.
Yager, R. R., and Filev, D. P. (1994). Essentials of fuzzy modeling and control. John Wiley & Sons, Inc., New York, N.Y.
32.
Yager, R. R., and Zadeh, L. A. (1992). An introduction to fuzzy logic applications in intelligent systems. Kluwer Academic Publishers, Norwell, Mass.
33.
Yager, R. R., and Zadeh, L. A. (1994). Fuzzy sets, neural networks and soft computing. Van Nostrand Reinhold, New York, N.Y.
34.
Zadeh, L. A.(1978). “Fuzzy sets as a basis for a theory of possibility.”Fuzzy sets and systems, North-Holland, Amsterdam, Holland, 1, 3–28.
35.
Zimmermann, H. J. (1991). Fuzzy set theory and its applications, 2nd Ed., Kluwer Academic Publishers, Norwell, Mass.

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Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 124Issue 1January 1998
Pages: 1 - 8

History

Published online: Jan 1, 1998
Published in print: Jan 1998

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Authors

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Shinya Kikuchi, Member, ASCE,
Prof., Dept. of Civ. and Envir. Engrg., Univ. of Delaware, Newark, DE 19716.
Matti Pursula
Assoc. Prof., Dept. of Civ. and Envir. Engrg., Helsinki Univ. of Technol., FIN-02150 Espoo, Finland.

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