Driven by the goals of carbon neutrality and carbon peaking, the low-carbon construction in operator regions has an important impetus to promote the development of the power system and even the low-carbon economy in the whole society. The advantage of comprehensive evaluation of the low-carbon level of the operator regions can not only enable the power grid enterprises to have an objective judgment on the current low-carbon development level in the operator regions, and also can provide a direction and decision for the low-carbon management on the demand side. A comprehensive multi-objective operator region low-carbon index system is constructed, which includes the external network, the network loss, the internal network and the source network load and storage. A new index weight determination method is proposed based on the combination of entropy-independence weights, while vlsekriterijumska optimizacija I kompromisno resenje method and the matter-element extension model are combined in order to solve the decision-making problem of multi-attribute and multi-subject classes, so as to realize the overall assessment ranking and local feature analysis of different types of operator regions. Using 15 different types of operator regions in Shanxi as the research object, an example analysis is carried out to verify the scientific, practicability and effectiveness of the proposed evaluation system.