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

A. Nureize*, J. Watada, S. Wang

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)


    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.

    Original languageEnglish
    Pages (from-to)299-315
    Number of pages17
    JournalAnnals of Operations Research
    Issue number1
    Publication statusPublished - 2014


    • Confidence interval
    • Expected value
    • Fuzzy random variables
    • Multi-attribute evaluation
    • Regression

    ASJC Scopus subject areas

    • Management Science and Operations Research
    • Decision Sciences(all)


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