Abstract
When there isn't enough evidence, it can be hard for decision-makers (DMs) to evaluate their evaluations of strategic decision issues in the right way. An expansion of Pythagorean fuzzy sets (PFSs), known as interval-valued PFSs (IVPFSs), can provide sufficient information space for DMs so that they can assess their evaluations using interval numbers. The purpose of this work is to examine the aggregation procedures used by IVPFSs using Aczel-Alsina operations. We first generalize the Aczel-Alsina t-norm and t-conorm to IVPF circumstances and introduce several unique IVPFS operations, such as Aczel-Alsina sum, Aczel-Alsina product, Aczel-Alsina scalar multiplication, and Aczel-Alsina exponentiation, that contribute to the emergence of many special IVPF aggregation operators, including the IVPF Aczel-Alsina weighted average (IVPFAAWA) operator, IVPF Aczel-Alsina order weighted average (IVPFAAOWA) operator, and IVPF Aczel-Alsina hybrid average (IVPFAAHA) operator. Furthermore, we define several features of the operators, illustrate them with a few specific examples, and investigate the relationships between the aforementioned operators. Additionally, we use these operators to develop a system for trying to manage multiple attribute decision-making (MADM) using IVPF data. Ultimately, a mathematical formulation involving the selection of an emerging IT software company is given to represent the decision steps of the recommended methodology. The outcome demonstrates the reasonableness and viability of the new methodology. We explore the effects of the parameter on decision-making results for a variety of values. A comparative study is also presented.