Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilities

The complex interval-valued intuitionistic fuzzy set (CIIFS), as an extension of the complex intuitionistic fuzzy set (CIFS), is one of the better tools for dealing with time-periodic information in a single set of two-dimensional information. So, this paper makes some new operators based on Aczel-Alsina's t-norm and t-conorm in the CIIFS environment. First, some Aczel-Alsina t-norm and t-conorm operational laws are defined for complex interval-valued intuitionistic fuzzy numbers (CIIFNs). Then, using the proposed operational laws, Aczel-Alsina The operators Complex interval-valued intuitionistic Aczel-Alsina weighted average (CIIFAAWA), Complex interval-valued intuitionistic Aczel-Alsina weighted geometric (CIIFAAWG), Complex interval-valued intuitionistic Aczel-Alsina ordered weighted average (CIIFAAOWA), and Complex interval-valued intuitionistic Aczel-Alsina ordered weighted geometric (CIIFAAOWG) are developed. Further, some properties of the proposed operators are discussed and investigated in detail. A group decision-making method is also suggested based on developed operators in the CIIFS environment. The proposed operators are more adaptable and give more accurate results than existing ones. Furthermore, a multi-criteria decision-making technique is developed based on the proposed operators. A decision-making problem for healthcare facilities in public hospitals is provided to demonstrate the benefits and applicability of the proposed method. Finally, a comparative study is also investigated using the existing methods.

Automated summary

This paper focuses on the study of new operators for complex interval-valued intuitionistic fuzzy sets based on Aczel-Alsina t-norm and t-conorm. The operators developed include complex interval-valued intuitionistic Aczel-Alsina weighted average, complex interval-valued intuitionistic Aczel-Alsina weighted geometric, complex interval-valued intuitionistic Aczel-Alsina ordered weighted average, and complex interval-valued intuitionistic Aczel-Alsina ordered weighted geometric. These operators are more adaptable and give more accurate results than existing ones. A group decision-making method and a multi-criteria decision-making technique are also developed based on the proposed operators.