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Fuzzy random regression based multi-attribute evaluation and its application to oil palm fruit grading

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  • A. Nureize
  • J. Watada
  • S. Wang

Abstract

Multi-attribute decision-making is usually concerned with weighting alternatives, thereby requiring weight information for decision attributes from a decision maker. However, the assignment of an attribute’s weight is sometimes difficult, and may vary from one decision maker to another. Additionally, imprecision and vagueness may affect each judgment in the decision-making process. That is, in a real application, various statistical data may be imprecise or linguistically as well as numerically vague. Given this coexistence of random and fuzzy information, the data cannot be adequately treated by simply using the formalism of random variables. To address this problem, fuzzy random variables are introduced as an integral component of regression models. Thus, in this paper, we proposed a fuzzy random multi-attribute evaluation model with confidence intervals using expectations and variances of fuzzy random variables. The proposed model is applied to oil palm fruit grading, as the quality inspection process for fruits requires a method to ensure product quality. We include simulation results and highlight the advantage of the proposed method in handling the existence of fuzzy random information. Copyright Springer Science+Business Media, LLC 2014

Suggested Citation

  • A. Nureize & J. Watada & S. Wang, 2014. "Fuzzy random regression based multi-attribute evaluation and its application to oil palm fruit grading," Annals of Operations Research, Springer, vol. 219(1), pages 299-315, August.
    • Handle: RePEc:spr:annopr:v:219:y:2014:i:1:p:299-315:10.1007/s10479-011-0979-z
    DOI: 10.1007/s10479-011-0979-z
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    Cited by:

    1. Hong-Bin Yan & Tieju Ma & Songsak Sriboonchitta & Van-Nam Huynh, 2017. "A stochastic dominance based approach to consumer-oriented Kansei evaluation with multiple priorities," Annals of Operations Research, Springer, vol. 256(2), pages 329-357, September.
    2. Meimei Xia & Jian Chen & Juliang Zhang, 2015. "Multi-criteria decision making based on relative measures," Annals of Operations Research, Springer, vol. 229(1), pages 791-811, June.
    3. Alfred Mbairadjim Moussa & Jules Sadefo Kamdem, 2022. "A fuzzy multifactor asset pricing model," Annals of Operations Research, Springer, vol. 313(2), pages 1221-1241, June.
    4. Zengyuan Wu & Caihong Zhou & Fei Xu & Wengao Lou, 2022. "A CS-AdaBoost-BP model for product quality inspection," Annals of Operations Research, Springer, vol. 308(1), pages 685-701, January.

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