Abstract
Multi-attribute decision-making (MADM) is commonly used to investigate fuzzy information effectively. However, selecting the best alternative information is not always symmetric because the alternatives do not have complete information, so asymmetric information is often involved. In this analysis, we use the massive dominant and more consistent principle of power aggregation operators (PAOs) based on general t-norm and t-conorm, which manage awkward and inconsistent data in real-world dilemmas such as medical diagnosis, pattern recognition, cleaner production evaluation in gold mines, the analysis of the cancer risk factor, etc. The principle of averaging, geometric, Einstein, and Hamacher aggregation operators are specific cases of generalized PAOs. We combine the principle of complex intuitionistic fuzzy soft (CIFS) information with PAOs to initiate CIFS power averaging (CIFSPA), CIFS weighted power averaging (CIFSWPA), CIFS ordered weighted power averaging (CIFSOWPA), CIFS power geometric (CIFSPG), CIFS weighted power geometric (CIFSWPG), and CIFS ordered weighted power geometric (CIFSOWPG), and their flexible laws are elaborated. Certain specific cases (such as averaging, Einstein, and Hamacher operators) of the explored operators are also illustrated with the help of different t-norm and t-conorm operators. A MADM process is presented under the developed operators based on the CIFS environment. Finally, to investigate the supremacy of the demonstrated works, we employed a sensitivity analysis and geometrical expressions of the initiated operators with numerous prevailing works to verify the efficiency of the proposed works. This manuscript shows how to make decisions when there is asymmetric information about enterprises.
Highlights
Stage 1: We developed the matrices CCIF−ij which were given by distinct experts
We initiated the theories of CIFS power averaging (CIFSPA), CIFS weighted power averaging (CIFSWPA), CIFSOWPA, CIFS power geometric (CIFSPG), CIFS weighted power geometric (CIFSWPG), and CIFSOWPG, and their flexible laws were elaborated
Certain specific cases of the explored operators were illustrated with the help of t-norm and t-conorm
Summary
In several practical situations, testing is normally believed to show the functioning circumstances, utilizing the crisp number-based crude information when dealing with available strategies These strategies lead the decision makers to obscure ends just as much as to unsure choices. By using the above prevailing examinations, it is seen that the MADM dilemmas have been employed for FS, IFS speculations, or their development These models cannot deal with time-periodic dilemmas and two-dimensional data together in a single set. Numerous scholars have expended effort employing the principle of CIFS in the circumstances of distinct fields—as illustrated by information measures [22], correlation measures [23], geometric aggregation operators (AOs) [24], robust AOs [25], generalized AOs [26], PAOs [27], and preference relations [28].
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