%0 Journal Article %T Multi-Attribute Group Decision Making Problem based on Generalized Induced Interval-Valued Pythagorean Fuzzy Averaging Aggregation Operator using T-norm and T-conorm %J Annals of Optimization Theory and Practice %I Firouzabad Institute of Higher Education %Z 2588-3666 %A Rahman, khaista %D 2021 %\ 08/17/2021 %V %N %P - %! Multi-Attribute Group Decision Making Problem based on Generalized Induced Interval-Valued Pythagorean Fuzzy Averaging Aggregation Operator using T-norm and T-conorm %K I-GIVPFEOWA operator %K I-GIVPFEHA operator %K Group decision making %R 10.22121/aotp.2021.292746.1075 %X For the multiple attribute group decision making problems where attribute values are the interval-valued Pythagorean fuzzy numbers, the group decision making method based on some generalized Einstein aggregation operators is developed. Firstly, induced generalized interval-valued Pythagorean fuzzy Einstein ordered weighted averaging (I-GIVPFEOWA) aggregation operator and induced generalized interval-valued Pythagorean fuzzy Einstein hybrid averaging (I-GIVPFEHA) aggregation operator, were proposed. Some general properties of these operators, such as idempotency, commutativity, monotonicity and boundedness, were discussed, and some special cases in these operators were analyzed. Furthermore, the method for multiple attribute group decision making problems based on these operators was developed, and the operational processes were illustrated in detail. The main advantage of using the proposed methods and operators is that these operators and methods give a more complete view of the problem to the decision makers. These methods provide more general, more accurate and precise results as compared to the existing methods. Therefore these methods play a vital role in real world problems. Finally the proposed operators have been applied to decision making problems to show the validity, practicality and effectiveness of the new approach %U