Multi-attribute group decision making algorithm based on (<i>p</i>, <i>q</i>)-rung interval-valued orthopair fuzzy set and weight optimization model

Abstract

<abstract> <p>With the aim of addressing the complexity of decision environments, uncertainty of decision information and weight determination of mutual influence between decision makers, a (<italic>p</italic>, <italic>q</italic>)-rung interval-valued orthopair fuzzy multi-attribute group decision making algorithm based on weight optimization is proposed. First, in order to improve the ability of decision makers to capture their judgment in a wider space, the concept of a (<italic>p</italic>, <italic>q</italic>)-rung interval-valued orthopair fuzzy set is proposed, and its related definition and properties are studied. Second, considering the mutual influence between decision makers and the relationship between attributes, the analytic network process (ANP) and entropy method are employed to determine the subjective and objective weights, respectively. Considering the influence of subjective and objective weights on the combination weights, the deviation degree and dispersion degree of the subjective and objective weights are taken as objective functions, and the optimal solution of the combination weights is iteratively solved by genetic algorithm. Then, based on the (<italic>p</italic>, <italic>q</italic>)-rung interval-valued orthopair fuzzy set and weight optimization model, an improved (<italic>p</italic>, <italic>q</italic>)-rung interval-valued orthopair fuzzy ELECTRE method is proposed. Finally, in order to verify the accuracy and robustness of the algorithm, the algorithm is applied to the example analysis of investment enterprise evaluation, and the results demonstrate that the algorithm has definite theoretical and application value.</p> </abstract>