IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/47799.html
   My bibliography  Save this paper

On application of multi-criteria decision making with ordinal information in elementary education

Author

Listed:
  • Mazurek, Jiří

Abstract

In the Czech Republic each elementary or secondary school decides which textbook will be used for a given class and a given subject of education. As a supply of textbooks is wide, a selection of the most suitable textbook by a teacher is a typical case of multi-criteria decision making situation where an evaluation of different textbooks on selected criteria is rather ordinal in nature than cardinal: it is not possible to assign textbooks some numerical value with regard to criteria such as content, comprehensibility, adequacy to children’s age and knowledge, etc. (with the exception of textbook’s price), but textbooks can be ranked from the best to the worst by such criteria, and the best textbook can be found by a new and simple mathematical method developed for this purpose in this paper. The aim of the paper is to show how this multi-criteria decision making method with ordinal information can be used for the selection of the most appropriate textbook for elementary science education, because a right choice of a textbook plays an important role in children’s education. And we shall not forget that decisions made today influence the world tomorrow, and the World of Tomorrow is also a World of Our (well-educated) Children.

Suggested Citation

  • Mazurek, Jiří, 2013. "On application of multi-criteria decision making with ordinal information in elementary education," MPRA Paper 47799, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:47799
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/47799/1/MPRA_paper_47799.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Cook, Wade D. & Doyle, John & Green, Rodney & Kress, Moshe, 1997. "Multiple criteria modelling and ordinal data: Evaluation in terms of subsets of criteria," European Journal of Operational Research, Elsevier, vol. 98(3), pages 602-609, May.
    2. Cook, Wade D., 2006. "Distance-based and ad hoc consensus models in ordinal preference ranking," European Journal of Operational Research, Elsevier, vol. 172(2), pages 369-385, July.
    3. Cook, Wade D. & Kress, Moshe, 1991. "A multiple criteria decision model with ordinal preference data," European Journal of Operational Research, Elsevier, vol. 54(2), pages 191-198, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kim, Soung Hie & Han, Chang Hee, 2000. "Establishing dominance between alternatives with incomplete information in a hierarchically structured attribute tree," European Journal of Operational Research, Elsevier, vol. 122(1), pages 79-90, April.
    2. William W. Cooper & Kyung Sam Park & Gang Yu, 1999. "IDEA and AR-IDEA: Models for Dealing with Imprecise Data in DEA," Management Science, INFORMS, vol. 45(4), pages 597-607, April.
    3. Leskinen, Pekka & Kangas, Annika S. & Kangas, Jyrki, 2004. "Rank-based modelling of preferences in multi-criteria decision making," European Journal of Operational Research, Elsevier, vol. 158(3), pages 721-733, November.
    4. Beynon, Malcolm J., 2005. "A novel technique of object ranking and classification under ignorance: An application to the corporate failure risk problem," European Journal of Operational Research, Elsevier, vol. 167(2), pages 493-517, December.
    5. K S Park & I Jeong, 2011. "How to treat strict preference information in multicriteria decision analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1771-1783, October.
    6. Pishchulov, Grigory & Trautrims, Alexander & Chesney, Thomas & Gold, Stefan & Schwab, Leila, 2019. "The Voting Analytic Hierarchy Process revisited: A revised method with application to sustainable supplier selection," International Journal of Production Economics, Elsevier, vol. 211(C), pages 166-179.
    7. Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
    8. Dimitris Tsintsaris & Milan Tsompanoglou & Evangelos Ioannidis, 2024. "Dynamics of Social Influence and Knowledge in Networks: Sociophysics Models and Applications in Social Trading, Behavioral Finance and Business," Mathematics, MDPI, vol. 12(8), pages 1-27, April.
    9. Qi Wei & Rui Wang & Chuan-Yang Ruan, 2024. "Similarity Measures of Probabilistic Interval Preference Ordering Sets and Their Applications in Decision-Making," Mathematics, MDPI, vol. 12(20), pages 1-26, October.
    10. Andrea Aveni & Ludovico Crippa & Giulio Principi, 2024. "On the Weighted Top-Difference Distance: Axioms, Aggregation, and Approximation," Papers 2403.15198, arXiv.org, revised Mar 2024.
    11. Fujun Hou, 2015. "A Consensus Gap Indicator and Its Application to Group Decision Making," Group Decision and Negotiation, Springer, vol. 24(3), pages 415-428, May.
    12. Sahar Ahmadvand & Mir Saman Pishvaee, 2018. "An efficient method for kidney allocation problem: a credibility-based fuzzy common weights data envelopment analysis approach," Health Care Management Science, Springer, vol. 21(4), pages 587-603, December.
    13. Salo, Ahti A., 1995. "Interactive decision aiding for group decision support," European Journal of Operational Research, Elsevier, vol. 84(1), pages 134-149, July.
    14. Wu, Zhibin & Huang, Shuai & Xu, Jiuping, 2019. "Multi-stage optimization models for individual consistency and group consensus with preference relations," European Journal of Operational Research, Elsevier, vol. 275(1), pages 182-194.
    15. Pongou, Roland & Tchantcho, Bertrand & Tedjeugang, Narcisse, 2014. "Power theories for multi-choice organizations and political rules: Rank-order equivalence," Operations Research Perspectives, Elsevier, vol. 1(1), pages 42-49.
    16. Jabeur, Khaled & Martel, Jean-Marc, 2007. "An ordinal sorting method for group decision-making," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1272-1289, August.
    17. Shaher Z. Zahran & Jobair Bin Alam & Abdulrahem H. Al-Zahrani & Yiannis Smirlis & Stratos Papadimitriou & Vangelis Tsioumas, 2020. "Analysis of port efficiency using imprecise and incomplete data," Operational Research, Springer, vol. 20(1), pages 219-246, March.
    18. Akbari, Sina & Escobedo, Adolfo R., 2023. "Beyond kemeny rank aggregation: A parameterizable-penalty framework for robust ranking aggregation with ties," Omega, Elsevier, vol. 119(C).
    19. Zhang, Hengjie & Dong, Yucheng & Chiclana, Francisco & Yu, Shui, 2019. "Consensus efficiency in group decision making: A comprehensive comparative study and its optimal design," European Journal of Operational Research, Elsevier, vol. 275(2), pages 580-598.
    20. Cook, Wade D. & Doyle, John & Green, Rodney & Kress, Moshe, 1997. "Multiple criteria modelling and ordinal data: Evaluation in terms of subsets of criteria," European Journal of Operational Research, Elsevier, vol. 98(3), pages 602-609, May.

    More about this item

    Keywords

    elementary education; multi-criteria decision making; ordinal information;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:47799. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.