In this paper, the construction basis of an agricultural regional public brand, the construction main body and the structural model of resource advantageous agricultural regional public brand is discussed in the part of the agricultural regional public brand construction. In the part of the construction of the evaluation model of the competitive strength of agricultural regional public brands, the fuzzy power reconstraint BoD model based on Pareto optimum, Pareto importance criterion, Pareto rule and BoD discriminative criteria, fuzzy group opinion set and the proposed POGF-BoD evaluation algorithm are studied. Finally, an empirical analysis of the competitiveness of agricultural regional public brands was conducted. The results show that the evaluation system for regional public brand competitiveness of agricultural products has an evaluation result of 84.354, with a good evaluation grade. The first-level index brand element’s evaluation result is 88.964, which is the highest score among the four first-level indexes.