This paper aims to present a novel multiple attribute group decision-making process under the intuitionistic multiplicative preference set environment. In it, Saaty’s 1/9-9 scale is used to express the imprecise information which is asymmetrical distribution about 1. To achieve it, the present work is divided into three folds. First, a concept of connection number-based intuitionistic multiplicative set (CN-IMS) is formulated by considering three degrees namely “identity”, “contrary”, and “discrepancy” of the set and study their features. Second, to rank the given number, we define a novel possibility degree measure which compute the degree of possibility within the given objects. Finally, several aggregation operators on the pairs of the given numbers are designed and investigated their fundamental inequalities and relations. To explain the presented measures and operators, a group decision-making approach is promoted to solve the problems with uncertain information and illustrated with several examples. The advantages, comparative, as well as perfection analysis of the proposed framework are furnished to confirm the approach.

本文旨在提出一种在直觉可乘偏好集环境下的新型多属性群决策过程。其中，Saaty的1 / 9-9量表用于表示不精确的信息，该信息是大约1的不对称分布。为实现此目的，本研究将其分为三部分。首先，通过考虑集合的“同一性”，“相反”和“差异”三个程度并研究其特征，提出了基于连接数的直觉乘法集（CN-IMS）的概念。其次，为了给定数字排名，我们定义了一种新颖的可能性程度度量，该度量计算给定对象内的可能性程度。最后，设计了给定数对上的几个聚合算子，并研究了它们的基本不等式和关系。为了解释所提出的措施和操作者，提出了一种群体决策方法来解决信息不确定的问题，并通过几个例子进行说明。提供了所提出框架的优势，比较性和完善性分析以证实该方法。