@article {
author = {Akram, M. and Naz, S. and Ziaa, F.},
title = {Novel decision-making framework based on complex q-rung orthopair fuzzy information},
journal = {Scientia Iranica},
volume = {30},
number = {4},
pages = {1450-1479},
year = {2023},
publisher = {Sharif University of Technology},
issn = {1026-3098},
eissn = {2345-3605},
doi = {10.24200/sci.2021.55413.4209},
abstract = {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).},
keywords = {Complex $q$-rung orthopair fuzzy set,Complex $q$-rung orthopair fuzzy graph,Hamacher operator,energy,Randi'{c} energy},
url = {https://scientiairanica.sharif.edu/article_22292.html},
eprint = {https://scientiairanica.sharif.edu/article_22292_429ec75a69a18d5362002dc3d04cc845.pdf}
}