This paper focuses on logical aspects of choices being made by the consumer under conditions of uncertainty or certainty. Such logical aspects are found out to be the same. Choices being made by the consumer that should maximize her subjective utility are decisions studied by revealed preference theory. A finite number of possible alternatives is considered. They are mutually exclusive propositions identifying all quantitative states of nature of a consumption plan. Each proposition of it is expressed by a real number. This research work distinguishes it from its temporary truth value depending on the state of information and knowledge of the consumer. Since each point of the consumption space of the consumer belongs to a two-dimensional convex set, this article focuses on conjoint distributions of mass. Indeed, the consumption space of the consumer is generated by all coherent summaries of a conjoint distribution of mass. Each point of her consumption space is connected with a weighted average of states of nature of two consumption plans jointly studied. They give rise to a conjoint distribution of mass. The consumer chooses a point of a two-dimensional convex set representing that bundle of goods actually demanded by her inside of her consumption space. This paper innovatively shows that it is nothing but a bilinear and disaggregate measure. It is decomposed into two real numbers, where each real number is a linear measure. In this paper, different measures are obtained. They can be disaggregate or aggregate measures, where the latter are independent of the notion of ordered pair of consumption plans.

中文翻译：

---

质量分布汇总：消费者消费空间的统计方法

本文侧重于消费者在不确定或确定的条件下所做选择的逻辑方面。发现这些逻辑方面是相同的。消费者做出的应该最大化其主观效用的选择是通过显示偏好理论研究的决策。考虑了有限数量的可能替代方案。它们是相互排斥的命题，用于识别消费计划的所有定量性质状态。它的每个命题都用一个实数表示。这项研究工作根据消费者的信息和知识状态将其与其临时真值区分开来。由于消费者消费空间的每个点都属于一个二维凸集，本文重点讨论质量的联合分布。的确，消费者的消费空间是由质量联合分布的所有连贯总结产生的。她的消费空间的每个点都与联合研究的两个消费计划的自然状态的加权平均相关。它们导致质量的联合分布。消费者在她的消费空间内选择代表她实际需要的那束商品的二维凸集的一个点。本文创新性地表明，它只不过是一种双线性和分解的测度。它被分解为两个实数，其中每个实数都是一个线性测度。在本文中，获得了不同的措施。它们可以是分解的或聚合的度量，其中后者独立于有序消费计划对的概念。