  Citation: Ali, Z.; Mahmood, T.; Pamucar, D.; Wei, C. Complex Interval-Valued q-Rung Orthopair Fuzzy Hamy Mean Operators and Their Application in Decision- Making Strategy. Symmetry 2022, 14, 592. https://doi.org/10.3390/ sym14030592 Academic Editor: Mihai Postolache Received: 8 February 2022 Accepted: 9 March 2022 Published: 16 March 2022 Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affil- iations. Copyright: © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). symmetry S S Article Complex Interval-Valued q-Rung Orthopair Fuzzy Hamy Mean Operators and Their Application in Decision-Making Strategy Zeeshan Ali 1 , Tahir Mahmood 1 , Dragan Pamucar 2 and Chuliang Wei 3, * 1 Department of Mathematics & Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan; zeeshanalinsr@gmail.com (Z.A.); tahirbakhat@iiu.edu.pk (T.M.) 2 Department of Logistics, University of Defense, 11050 Belgrade, Serbia; dragan.pamucar@va.mod.gov.rs 3 Department of Electronic Engineering, Shantou University, Shantou 515063, China * Correspondence: clwei@stu.edu.cn Abstract: This paper deals with uncertainty, asymmetric information, and risk modelling in a complex power system. The uncertainty is managed by using probability and decision theory methods. Multi-attribute decision-making (MADM) technique is a very effective and well-known tool to investigate fuzzy information more effectively. However, the selection of houses cannot be carried out by utilizing symmetry information, because enterprises does not have complete information, so asymmetric information should be used when selecting enterprises. Hamy mean (HM) operator is a feasible tool to handle strategic decision-making problems because it can capture the order between the finite input terms. Additionally, the complex interval-valued q-rung orthopair fuzzy (CIVq- ROF) setting is a broadly flexible and massively dominant technique to operate problematic and awkward data in actual life problems. The major contribution of this analysis is how to aggregate the collection of alternatives into a singleton set, for this we analyzed the technique of CIVq-ROF Hamy mean (CIVq-ROFHM) operator and CIVq-ROF weighted Hamy mean (Cq-ROFWHM) operator and some well-known results are deliberated. Keeping the advantages of the parameters in HM operators, we discussed the specific cases of the invented operators. To investigate the decision- making problems based on CIVq-ROF information, we suggested the following multi-attribute decision-making (MADM) technique to determine the beneficial term from the finite group of alternatives with the help of evaluating several examples. This manuscript showed how to make decisions when there is asymmetric information about enterprises. Finally, based on the evaluating examples, we try to discover the sensitive analysis and supremacy of the invented operators to find the flexibility and dominancy of the diagnosed approaches. Keywords: complex interval-valued q-rung orthopair fuzzy sets; weighted Hamy mean operators; decision-making strategy 1. Introduction One of the hardest problems is given in the form of ambiguity and inconsistency, which is involved in every field of life and affects the resultant values during the decision-making process. To reduce the affected ratio of data from ambiguity, Atanassov [1] initiated the tool of the intuitionistic fuzzy set (IFS) by extending the tool of fuzzy set, which was familiarized by Zadeh [2]. As a theory, the experts must consider fuzzy variables to show their reasons. Various attempts have been made by the distinct intellectuals in managing the data values based on distinct aggregation operators [3–5]. On the other hand, the fundamental theory of interval-valued IFS (IVIFS) was exposed by Atanassov [6]. IVIFS indicates two terms in the shape of interval values whose sum of upper terms lies in [0, 1]. Among all these diverse ideas, one is to determine the beneficial optimal, several well-known implemen- tations are discussed based on IFS and IVIFS [7–10]. After that, Garg [11] reflected the theory of interval-valued Pythagorean fuzzy set (IVPFS) by adding the new tool, called Symmetry 2022, 14, 592. https://doi.org/10.3390/sym14030592 https://www.mdpi.com/journal/symmetry