Interval Valued q- Rung Orthopair Hesitant Fuzzy Choquet Aggregating Operators in Multi-Criteria Decision Making Problems

Abstract: In this paper, we introduce Interval valued q- Rung Orthopair Hesitant fuzzy sets insert ignore into journalissuearticles values(IVq-ROHFS); with motivation of Interval valued pythagorean Hesitant fuzzy sets [44] as a new concept. Then, we give some basic operations as complement, union, intersection, addition, scalar multiplication, scalar power. Also, we combine to insert ignore into journalissuearticles values(IVq-ROHFS); and choquet integral , together with aggregating operators, and develop to Interval valued q- rung orthopair hesitant fuzzy Choquet averaging operator insert ignore into journalissuearticles values(IVq-ROHCA); and Interval valued q- rung orthopair hesitant fuzzy Choquet geometric operator insert ignore into journalissuearticles values(IVq-ROHCG);. Then, we offer to indicate soft approach of proposed IVq-ROHCA and IVq-ROHCG an example adopted from Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS insert ignore into journalissuearticles values(IVIHCI); [43]. The obtained results are agreement with IVIHCI but presented IVq-ROHCA and IVq-ROHCG have more advantages than existing structures as Interval-valued intuitionistic hesitant fuzzy sets insert ignore into journalissuearticles values(IVIHFS);, interval-valued Pythagorean Hesitant fuzzy sets insert ignore into journalissuearticles values(IVPHFS); with reasons changing according to need, requirement, prefer of decision makers and moreover, being IVIHFS and IVPHFS are special cases of IVq-ROHFS. It is open from comparative analysis that the while some of offered approaches are giving no solution for some values, our operators present to needed results.