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Fuzzy Judgments and Fuzzy Sets

Author

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  • Thomas L. Saaty

    (University of Pittsburgh, USA)

  • Liem T. Tran

    (University of Tennessee, USA)

Abstract

Using fuzzy set theory has become attractive to many people. However, the many references cited here and in other works, little thought is given to why numbers should be made fuzzy before plunging into the necessary simulations to crank out numbers without giving reason or proof that it works to one’s advantage. In fact it does not often do that, certainly not in decision making. Regrettably, many published papers that use fuzzy set theory presumably to get better answers were not judged thoroughly by reviewers knowledgeable in both fuzzy theory and decision making. Buede and Maxwell (1995), who had done experiments on different ways of making decisions, found that fuzzy does the poorest job of obtaining the right decision as compared with other ways. “These experiments demonstrated that the MAVT (Multiattribute Value Theory) and AHP (Analytic Hierarchy Process) techniques, when provided with the same decision outcome data, very often identify the same alternatives as ‘best’. The other techniques are noticeably less consistent with the Fuzzy algorithm being the least consistent.”

Suggested Citation

  • Thomas L. Saaty & Liem T. Tran, 2010. "Fuzzy Judgments and Fuzzy Sets," International Journal of Strategic Decision Sciences (IJSDS), IGI Global, vol. 1(1), pages 23-40, January.
    • Handle: RePEc:igg:jsds00:v:1:y:2010:i:1:p:23-40
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    Cited by:

    1. Huaizhi Su & Meng Yang & Zhiping Wen, 2015. "Multi-Layer Multi-Index Comprehensive Evaluation for Dike Safety," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(13), pages 4683-4699, October.
    2. Fan Wang & Yao Lu & Jin Li & Juan Ni, 2021. "Evaluating Environmentally Sustainable Development Based on the PSR Framework and Variable Weigh Analytic Hierarchy Process," IJERPH, MDPI, vol. 18(6), pages 1-16, March.
    3. Li, Xiao-Ya & Dong, Xin-Yu & Chen, Sha & Ye, Yan-Mei, 2024. "The promising future of developing large-scale PV solar farms in China: A three-stage framework for site selection," Renewable Energy, Elsevier, vol. 220(C).

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