The paper studies the aggregation of pairs of T-indistinguishability operators. More concretely we address the question whether $A(E,E^{\prime })$ is a T-indistinguishability operator if $E,E^{\prime }$ are T-indistinguishability operators. The answer depends on the aggregation function, the t-norm T, and the chosen T-indistinguishability operators. It is well-known that an aggregation function preserves T-transitive relations if and only if it dominates the t-norm T. We show the important role of the minimum t-norm $T_M$ in this preservation problem. In particular we develop weaker forms of domination that are used to provide characterizations of $T_M$-indistinguishability preservation under aggregation. We also prove that the existence of a single strictly monotone aggregation that satisfies the indistinguishability operator preservation property guarantees all aggregations to have the same preservation property.

本文研究了T-不可区分算子对的聚合。更具体地说，我们解决的问题是$\mathrm{一个}(乙,{乙}^{\text{'}})$是一个T -不可区分性算子，如果$乙,{乙}^{\text{'}}$是T -不可区分性算子。答案取决于聚合函数、t 范数T和选择的T不可区分性运算符。众所周知，当且仅当聚合函数支配 t-范数T时，聚合函数才保留T传递关系。我们展示了最小 t 范数的重要作用${吨}_{米}$在这个保存问题中。特别是，我们开发了较弱的统治形式，用于提供对${吨}_{米}$-聚合下的不可区分性保留。我们还证明了满足不可区分算子保存属性的单个严格单调聚合的存在保证了所有聚合具有相同的保存属性。