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

Abstract

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.

Citation

Luo, D., Wang, X. and Song, B. (2013), "Multi-attribute decision-making methods with three-parameter interval grey number", Grey Systems: Theory and Application, Vol. 3 No. 3, pp. 305-315. https://doi.org/10.1108/GS-08-2013-0021