%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