Novel decision-making framework based on complex q-rung orthopair fuzzy information

Assessing uncertainty in decision-making is a major challenge for DecisionMakers (DMs), and the ç-Rung Orthopair Fuzzy Set (g-ROFS) as the direct extension of Intuitionistic Fuzzy Set (IFS) and Pythagorean Fuzzy Set (PFS) play a crucial role in this aspect. The Complex ç-Run Orthopair Fuzzy Set (Cq-...

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Published inScientia Iranica. Transaction E, Industrial engineering Vol. 30; no. 4; pp. 1450 - 1479
Main Authors Akram, M, Naz, S, Ziaa, F
Format Journal Article
LanguageEnglish
Published Tehran Sharif University of Technology 01.08.2023
Subjects
Algorithms
Comparative analysis
Decision making
Energy
Fuzzy sets
Graph theory
Graphs
Power
System effectiveness
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Summary:Assessing uncertainty in decision-making is a major challenge for DecisionMakers (DMs), and the ç-Rung Orthopair Fuzzy Set (g-ROFS) as the direct extension of Intuitionistic Fuzzy Set (IFS) and Pythagorean Fuzzy Set (PFS) play a crucial role in this aspect. The Complex ç-Run Orthopair Fuzzy Set (Cq-ROFS) is a strong tool to deal with imprecision, vagueness, and fuzziness by expanding the scope of Membership Degree (MD) and Non-Membership Degree (NMD) of g-ROFS from real to complex unit disc. In this paper, we develop some new Cq-ROF Hamacher Aggregation Operators (AOs), i.e., the Cq-ROF Hamacher Weighted Averaging (Cq-ROFHWA) operator, the CqROFH Weighted Geometric (Cq-ROFHWG) operator, the Cq-ROFH Ordered Weighted Averaging (Cq-ROFHOWA) operator, and the Cq-ROFH Ordered Weighted Geometric (Cq-ROFHOWG) operator. Subsequently, we establish a novel Cq-ROF graph framework based on the Hamacher operator called Cq-ROFH Graphs (Cq-ROFHGs) and evaluate its energy and Randié energy. In particular, we compute the energy of a splitting Cq-ROFHG and shadow Cq-ROFHG. Further, we describe the notions of Cq-ROFH digraphs (CqROFHDGs). Moreover, an algorithm is given to solve Multiple Attribute Group Making (MAGDM) problems and the main steps are discussed clearly. Finally, a numerical instance related to the Facade Clothing Systems (FCS) selection is presented to show the effectiveness of the developed concepts in decision-making circumstances. In order to verify the effectiveness of our proposed scheme, a comparative analysis with previous approaches is provided.
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DOI:10.24200/sci.2021.55413.4209