Multi-attribute group decision-making model for selecting the most suitable construction company using the linguistic interval-valued T-spherical fuzzy TOPSIS method

Evaluation and selection problems are becoming increasingly difficult due to human judgment and unknown evaluation risks. These circumstances mean that contractor selection is impacted by a number of factors, many of which have a hybrid uncertainty of fuzziness and probability. The objective of this paper is to propose a multi-attribute group decision-making (MAGDM) model for the selection of the most suitable construction company. A decision problem based on the decisions of many experts, with multiple conflicting criterion, should be taken into account to evaluate multiple companies. For this purpose, we propose the notion of a linguistic interval-valued T-spherical fuzzy set (LIVt-SFS) to allow decision-makers to provide their evaluations in a wider space and to better deal with vague information. In this study, we developed some basic operations and score and accuracy functions to compare LIVt-SF numbers (LIVt-SFNs). Based on these operations, two aggregation operators: LIVt-SF weighted averaging and LIVt-SF weighted geometric operators, are established. Moreover, the technique for order of preference by similarity to ideal solution (TOPSIS) method is extended to solve the MAGDM problem under LIVt-SFS information. Furthermore, an example of the selection of the best construction company is given to demonstrate the effectiveness and feasibility of the proposed model. The computational results demonstrate that the suggested MAGDM model is capable of dealing with imprecision and subjectivity in complex decision-making situations. In addition, a sensitivity analysis is conducted to observe the influence of the parameter ‘q’ on the decision results. Finally, a comparison with existing decision-making methods is presented for the authentication of our proposed approach.