Approximation of Fuzzy Numbers by Modified Meyer-König and Zeller Operators: Implications for Medical Diagnosis Modeling
Approximation by M-MKZ Operators
Abstract
In this work, the modified Meyer-König and Zeller operators are generalized to arbitrary compact intervals, and their approximation behavior and structural properties are thoroughly analyzed. In particular, we establish that the extended operators maintain key qualitative features such as monotonicity and shape preservation across any compact domain.
To illustrate the practical utility of the framework, the proposed operators are applied to the fuzzy modeling of diagnostic indicators in cancer patients. The accompanying numerical experiments, supported by detailed graphical and tabular analyses, confirm that the modified Meyer-König and Zeller operators yield highly accurate approximations while preserving the interpretability and clinical relevance of fuzzy medical data.
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