On scales and decision-making based on arithmetic mean

被引：0
|
作者：
Ieta A. [1 ]
Silberberg G. [2 ]
Kucerovsky Z. [1 ]
Greason W.D. [1 ]
机构：
[1] Department of Electrical and Computer Engineering, University of Western Ontario, London
[2] Department of Economics, Central European University, Budapest
来源：
Quality and Quantity | 2005年 / 38卷 / 5期
关键词：
Arithmetic mean or average; Decision-making; Equivalent scales; Grade or mark conversion; Grading scales; Ordinal scales;
D O I：
10.1007/s11135-005-2177-z
中图分类号：
学科分类号：
摘要：
The scales used in schools for the purpose of student assessment are ordinal. The average of ordinal values is often used for the evaluation and comparison of overall student performance. We demonstrate a theorem for the selection of scales invariant with respect to rank of average and compare scales according to this property. A uniformity criterion is also defined for the choice of the scale on which to calculate the average. Concatenated sets of grades from scales not belonging to the same category may bring about errors of rank and absurd averaging, which may have a heavy impact on related decision-making processes. © 2004 Kluwer Academic Publishers.
引用
收藏
页码：559 / 575
页数：16
相关论文
共 50 条
  • [1] On scales and decision-making based on arithmetic mean
    Ieta, A
    Silberberg, G
    Kucerovsky, Z
    Greason, WD
    QUALITY & QUANTITY, 2004, 38 (05) : 559 - 575
  • [2] Fuzziness and Bias in Decision-Making Processes Using an Arithmetic Mean Criterion
    Adrian Ieta
    Zdenek Kucerovsky
    William D. Greason
    Gheorghe Silberberg
    Quality and Quantity, 2006, 40 : 145 - 156
  • [3] Fuzziness and bias in decision-making processes using an arithmetic mean criterion
    Ieta, A
    Kucerovsky, Z
    Greason, WD
    Silberberg, G
    QUALITY & QUANTITY, 2006, 40 (02) : 145 - 156
  • [4] Arithmetic mean-based decision-making algorithm for obstacle avoidance and multiple intruder detection
    Arif, M. U.
    Marzoughi, A.
    2020 AUSTRALIAN AND NEW ZEALAND CONTROL CONFERENCE (ANZCC 2020), 2020, : 103 - 107
  • [5] A Hesitant Fuzzy Linguistic Multi-Criteria Decision-Making Method Based On The Quasi -Arithmetic Mean And Harmonic Mean Operators
    Yu, Su-min
    Wang, Jing
    Tian, Zhang-peng
    Zhou, Huan
    Wang, Jian-qiang
    PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 2095 - 2100
  • [6] The arithmetic research of intelligence retrieval based on commanding decision-making
    Liu, JX
    Fei, Q
    PROCEEDINGS OF 2005 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-9, 2005, : 1878 - 1882
  • [7] Multicriteria decision making based on intuitionistic fuzzy prioritized arithmetic mean
    Wang, Weize
    Mendel, Jerry M.
    INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2018, 33 (07) : 1412 - 1425
  • [8] The use of fuzzy arithmetic in decision-making problems
    Vadim N. Romanov
    SN Applied Sciences, 2019, 1
  • [9] The use of fuzzy arithmetic in decision-making problems
    Romanov, Vadim N.
    SN APPLIED SCIENCES, 2019, 1 (04):
  • [10] STATISTICS - ARITHMETIC OF DECISION-MAKING - LEONARD,JM
    SMIT, CF
    SOUTH AFRICAN STATISTICAL JOURNAL, 1973, 7 (01) : 73 - 74
12345