Abstract
The objective of this manuscript is to investigate the concept of generalized q-rung orthopair fuzzy sets (Gq-mathcal {R}Omathcal {F}Ss) and group generalized q-rung orthopair fuzzy sets (GGq-mathcal {R}O mathcal {F}Ss) by incorporating the concept of generalized parameter and group generalized parameters in q-rung orthopair fuzzy environment. The main advantage of generalized parameter in q-rung orthopair fuzzy environment is to reduce uncertain errors in the original information to ensure the expert’s level of trust and improve the accuracy of final decision. On the base of generalized parameter, some aggregation operators are introduced such as generalized q-rung orthopair fuzzy average aggregation operators and group generalized q-rung orthopair fuzzy average aggregation operators and studied their related properties. Furthermore, a multi-criteria decision-making method technique based on proposed approach is presented. Finally, a numerical example is provided to illustrate the feasibility of the proposed methods and deliver the sensitivity analysis and comparative analysis, which show the superiority of developed approached than existing methods.
Highlights
In real life, decision making plays a significant role and is commonly used to solve real-world problems
Feng et al [5] presented that the existing definition of generalized intuitionistic fuzzy soft sets is clarified and reformulated as a combination of an intuitionistic fuzzy soft set over the universe of discourse and an intuitionistic fuzzy set in the parameter set
We introduced the concept generalized q-ROFS (GqROFS) by incorporating generalized parameter to views the expertise of other senior decision makers in q-rung orthopair fuzzy (q-ROF) environment, which reduce the complexity and uncertainty errors in original information
Summary
Decision making plays a significant role and is commonly used to solve real-world problems. (b) If the priority of the senior decision maker/expert about generalized parameter is taken as = (0, 1) , the proposed Gq-ROFW A operator gives the result (0, 1) .
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