## 1 Introduction
[PERSON] et al. [17] also investigated difficulties caused by Dombi AOs in q-ROFS. In this research article, we developed a few latest AOs for q-ROFS and examined the MADM issue. Aczel-Alsina TN and TCN were presented by [PERSON] and [PERSON] [18] in 1982. The AATN and AATN give more reliable and accurate results than other existing TN and TCN in fuzzy environments. They have good applicability in MADM under FS construction due to the high focus on parameter changeability. [PERSON] [19] first proposed the concept of triangular norms in his theory of probabilistic fuzzy metric spaces. For FS, it has been discovered that TNs and their corresponding TCNs are significant operations, such as Archimedean TCNs and TNs [20], Frank TCNs and TNs [21], Dombi TCN and TN [22], Einstein TCN and TN [14], and Hamacher TCN and TN [23]. MADM algorithms are also used extensively in dealing with construction engineering problems, such as the modeling risk evaluation in construction management by [PERSON] et al. [24]. [PERSON] et al. [25] discussed the applications of MADM algorithms in civil engineering. [PERSON] and [PERSON] [26] used clustering algorithms based on fuzzy information to design and analyze construction engineering. The performance evaluation of construction companies by using VIKOR modeling was discussed by [PERSON] et al. [27]. [PERSON] et al. [28] presented the method of selecting sustainable materials for construction. [PERSON] and [PERSON] gave the idea of an inspection of concrete pavement for construction [29]. [PERSON] [30] gave the model in the fuzzy environment for the financial comparison of Turkish cement companies with other companies. The evaluation of risk on small-level construction work by [PERSON] and [PERSON] [31]. [PERSON] and [PERSON] [32] studied the stability of dunes during highway construction. The evaluation of construction material equipment by using the hybrid fuzzy technique was studied by [PERSON] et al. [33]. [PERSON] et al. [34] gave the idea of the improved construction material service provider strategy. The developed intellectual capital indicators in financial service companies using the best-worst method presented by [PERSON] and [PERSON] [35]. When we select the building material for the construction, the following features play a significant role: life of the material, the fineness of the material, the cost of the material, storage handling of the material, and the effect of climate on the material. Therefore, it is hard to measure which one is the best company to supply the best material. Because of the above considerations, we realize that DM problems are getting increasingly complicated in reality. It is necessary to explain the doubtful data in a far more beneficial approach to select the best option for the MADM concerns. The main goal of this informative article is to propose a q-ROFAAWA and q-ROFAAWG operator based on q-ROF information and to study their application in construction engineering problems. The article provides the following information: In the next section, we discuss some basic concepts for Aczel-Alsina (AA) triangular norms and q-ROFSs. The AA operational laws for the q-ROFNs are intensely discussed in Section 3. Section 4 describes the q-ROFAAWA operator, q-ROFAAWG operator, q-ROFAAOWG operator, q-ROFAAHWG operator, and q-ROFAAHWG operator, as well as a few useful features. In Section 5, we use the q-ROFAAWA operator to provide an algorithm for dealing with the MADM problem. Section 6 provides a numerical example for the best alternative selection by utilizing the proposed technique. Section 7 compares the newly developed method to existing methods to see whether the developed strategy is adequate. In the end, some conclusions and future research areas are mentioned in Section 8.