Fuzzy numbers in cost range estimating

被引:68
作者
Shaheen, Ahmed A.
Fayek, Aminah Robinson
AbouRizk, S. M.
机构
[1] Univ Alberta, NREF, Hole Sch Construct Engn, Dept Civil & Environm Engn, Edmonton, AB T6G 2W2, Canada
[2] Lockerbie & Hole Inc, Sherwood Pk, AB T8A 4V2, Canada
关键词
fuzzy sets; cost estimates; Monte Carlo method; construction management;
D O I
10.1061/(ASCE)0733-9364(2007)133:4(325)
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Range estimating is a simple form of simulating a project estimate by breaking the project into work packages and approximating the variables in each package using statistical distributions. This paper explores an alternate approach to range estimating that is grounded in fuzzy set theory. The approach addresses two shortcomings of Monte Carlo simulation. The first is related to the analytical difficulty associated with fitting statistical distributions to subjective data, and the second relates to the required number of simulation runs to establish a meaningful estimate of a given parameter at the end of the simulation. For applications in cost estimating, the paper demonstrates that comparable results to Monte Carlo simulation can be achieved using the fuzzy set theory approach. It presents a methodology for extracting fuzzy numbers from experts and processing the information in fuzzy range estimating analysis. It is of relevance to industry and practitioners as it provides an approach to range estimating that more closely resembles the way in which experts express themselves, making it practically easy to apply an approach.
引用
收藏
页码:325 / 334
页数:10
相关论文
共 14 条
  • [1] AbouRizk S, 2000, PROCEEDINGS OF THE 2000 WINTER SIMULATION CONFERENCE, VOLS 1 AND 2, P1907, DOI 10.1109/WSC.2000.899185
  • [2] ABOURIZK S, 2006, IN PRESS CAN J CIV E
  • [3] Ahuja H. N., 1994, Project management: Techniques in planning and controlling construction projects
  • [4] Ang AS., 1975, PROBABILITY CONCEPTS
  • [5] A CENTRAL-LIMIT-THEOREM FOR FUZZY RANDOM-VARIABLES
    BOSWELL, SB
    TAYLOR, MS
    [J]. FUZZY SETS AND SYSTEMS, 1987, 24 (03) : 331 - 344
  • [6] A fuzziness measure for fuzzy numbers: Applications
    Delgado, M
    Vila, MA
    Voxman, W
    [J]. FUZZY SETS AND SYSTEMS, 1998, 94 (02) : 205 - 216
  • [7] On a canonical representation of fuzzy numbers
    Delgado, M
    Vila, MA
    Voxman, W
    [J]. FUZZY SETS AND SYSTEMS, 1998, 93 (01) : 125 - 135
  • [8] Ferson S, 2002, RAMAS RISK CALC 4 0
  • [9] Kaufmann A, 1988, FUZZY MATH MODELS EN
  • [10] Kaufmann A., 1985, INTRO FUZZY ARITHMET