  This paper provides a new tool for multi-attribute multi-objective group
decision-making with unknown weights and attributes' weights. An
interval-valued generalized orthogonal fuzzy group decision-making method is
proposed based on the Yager operator and CRITIC-WASPAS method with unknown
weights. The method integrates Yager operator, CRITIC, WASPAS, and interval
value generalized orthogonal fuzzy group. Its merits lie in allowing
decision-makers greater freedom, avoiding bias due to decision-makers' weight,
and yielding accurate evaluation. The research includes: expanding the interval
value generalized distance measurement method for comparison and application of
similarity measurement and decision-making methods; developing a new scoring
function for comparing the size of interval value generalized orthogonal fuzzy
numbers,and further existing researches. The proposed interval-valued Yager
weighted average operator (IVq-ROFYWA) and Yager weighted geometric average
operator (IVq-ROFYWG) are used for information aggregation. The CRITIC-WASPAS
combines the advantages of CRITIC and WASPAS, which not only work in the single
decision but also serve as the basis of the group decision. The in-depth study
of the decision-maker's weight matrix overcomes the shortcomings of taking the
decision as a whole, and weighs the decision-maker's information aggregation.
Finally, the group decision algorithm is used for hypertension risk management.
The results are consistent with decision-makers' opinions. Practice and case
analysis have proved the effectiveness of the method proposed in this paper. At
the same time, it is compared with other operators and decision-making methods,
which proves the method effective and feasible.
