What question did this study set out to answer?

To establish an advanced multiattribute decision-making framework using intuitionistic fuzzy rough numbers, balanced aggregation operators, and quaternion numbers to model complex uncertainty.

December 29, 2023Computer Modeling in Engineering & SciencesOpen Access

Complex Decision Modeling Framework with Fairly Operators and Quaternion Numbers under Intuitionistic Fuzzy Rough Context

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Authors

NSNadeem SalamatKhwaja Fareed University of Engineering and Information Technology MKMuhammad KamranShenzhen University SAShahzaib AshrafKhwaja Fareed University of Engineering and Information Technology

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Implication

Modeling study demonstrates improved decision accuracy across complex medical evaluations, suggesting robust handling of uncertain and sparse multiattribute data.

Key Points

To establish an advanced multiattribute decision-making framework using intuitionistic fuzzy rough numbers, balanced aggregation operators, and quaternion numbers to model complex uncertainty.
Integrated intuitionistic fuzzy sets with rough sets to define intuitionistic fuzzy rough numbers (IFRNs) capturing upper and lower approximation spaces.
Formulated intuitionistic fuzzy rough weighted fairly aggregation (IFRWFA) and ordered weighted fairly aggregation (IFRFOWA) operators based on proportional dispersion laws.
Constructed intuitionistic fuzzy quaternion numbers (IFQNs) and applied the combined framework to an illustrative medical evaluation decision problem.
Demonstrated that the IFRWFA and IFRFOWA operators successfully maintain mathematical fairness and balance between membership and non-membership data categories.
Established multiattribute decision modeling under multi-expert, non-weighted, and sparse data environments using quaternion-based intuitionistic fuzzy approximations.

Cite This Study

Salamat et al. (2023) studied this question.

synapsesocial.com/papers/6a6fba15e36a167817e16fdb https://doi.org/10.32604/cmes.2023.044697

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Implication

Modeling study demonstrates improved decision accuracy across complex medical evaluations, suggesting robust handling of uncertain and sparse multiattribute data.

Complex Decision Modeling Framework with Fairly Operators and Quaternion Numbers under Intuitionistic Fuzzy Rough Context

Discussion

Member takes

Implication

Key Points

Cite This Study

Complex Decision Modeling Framework with Fairly Operators and Quaternion Numbers under Intuitionistic Fuzzy Rough Context

Discussion

Member takes

Implication

Key Points

Cite This Study

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