TY - JOUR
ID - 22292
TI - Novel decision-making framework based on complex q-rung orthopair fuzzy information
JO - Scientia Iranica
JA - SCI
LA - en
SN - 1026-3098
AU - Akram, M.
AU - Naz, S.
AU - Ziaa, F.
AD - Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
AD - Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
AD - Department of Mathematics, Minhaj University, Lahore, Pakistan
Y1 - 2023
PY - 2023
VL - 30
IS - 4
SP - 1450
EP - 1479
KW - Complex $q$-rung orthopair fuzzy set
KW - Complex $q$-rung orthopair fuzzy graph
KW - Hamacher operator
KW - energy
KW - Randi'{c} energy
DO - 10.24200/sci.2021.55413.4209
N2 - 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).
UR - https://scientiairanica.sharif.edu/article_22292.html
L1 - https://scientiairanica.sharif.edu/article_22292_429ec75a69a18d5362002dc3d04cc845.pdf
ER -