%0 Journal Article %T Novel decision-making framework based on complex q-rung orthopair fuzzy information %J Scientia Iranica %I Sharif University of Technology %Z 1026-3098 %A Akram, M. %A Naz, S. %A Ziaa, F. %D 2023 %\ 08/01/2023 %V 30 %N 4 %P 1450-1479 %! Novel decision-making framework based on complex q-rung orthopair fuzzy information %K Complex $q$-rung orthopair fuzzy set %K Complex $q$-rung orthopair fuzzy graph %K Hamacher operator %K energy %K Randi'{c} energy %R 10.24200/sci.2021.55413.4209 %X The q-rung orthopair fuzzy sets (q-ROFSs) are increasingly valuable to express fuzzy and vagueinformation, as the generalization of intuitionistic fuzzy sets (IFSs) and Pythagorean fuzzy sets(PFSs). In this paper, we propose complex $q$-rung orthopair fuzzy sets (C$q$-ROFSs) as a new tool to deal with vagueness, uncertainty and fuzziness by extending the range of membership and non-membership function of $q$-ROFS from real to complex number with the unit disc.We develop some new complex $q$-rung orthopair fuzzy Hamacher operations and complex $q$-rung orthopair fuzzy Hamacher aggregation operators, i.e., the complex $q$-rung orthopair fuzzy Hamacher weighted average (C$q$-ROFHWA) operator, and the complex $q$-rung orthopair fuzzy Hamacher weighted geometric (C$q$-ROFHWG) operator. Subsequently, we introduce the innovative concept of a complex $q$-rung orthopair fuzzy graphs based on Hamacher operator called complex $q$-rung orthopair fuzzy Hamacher graphs (C$q$-ROFHGs) and determine its energy and Randi\'{c} energy.In particular, we present the energy of a splitting C$q$-ROFHG and shadow C$q$-ROFHG. Further, we describe the notions of complex $q$-rung orthopair fuzzy Hamacher digraphs (C$q$-ROFHDGs).Finally, a numerical instance related to the facade clothing systems selection is presented to demonstrate the validity of the proposed concepts in decision making (DM). %U https://scientiairanica.sharif.edu/article_22292_429ec75a69a18d5362002dc3d04cc845.pdf