Correlation coefficient measures and aggregation operators on interval-valued linear Diophantine fuzzy sets and their applications

Intuitionistic fuzzy sets, Pythagorean and q-rung orthopair sets are rudimentary concepts in computational intelligence, which have a myriad of applications system modeling decision-making under uncertainty. Nevertheless, all these notions some strict restrictions imposed on the membership non-membership grades (e.g., sum or squares qth power is less than equal to 1). To relax restrictions, linear Diophantine set new extension by additionally considering reference/control parameters. Thereby, grade can be greater 1, even both 1. By selecting different pairs reference parameters, naturally categorize concerned problems produce appropriate solutions accordingly. In this paper, interval-valued set, generalization studied. The more efficient deal with uncertain vague information due its flexible intervals grades, Some basic operations presented. We define weighted average geometric aggregation operators. Based operators, we propose method for multi-criteria based supplier selection environment. Besides, real-life example, comparison study, advantages proposed operators describe correlation coefficient measures (type-1 type-2) they applied medical diagnosis Coronavirus Disease 2019 (COVID-19). Lastly, comparative examination benefits also discussed.