Multi-attribute decision-making methods with three-parameter interval grey number

Purpose – The paper aims to research the multi-attribute decision-making in which the attribute values are interval grey numbers and the maximum probability of the value of grey number is known. Design/methodology/approach – First, the authors define deviation degree and dominance relation of three-parameter interval grey number and get the equivalence between the dominance relation of decision-making object and the sum of three values of three-parameter interval grey number. Then, considering the uncertainty of goal weight, the authors construct multi-index optimization model based on deviation degree and get the goal weight. Findings – The authors prove the rationality and effectiveness of decision-making methods by examples and give a new thought for grey multi-attribute decision-making methods. Originality/value – As a paper research on theory, it offered a new multi-attribute decision-making method with three-parameter interval grey number.

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