Fuzzy Logic–Based Prediction of Optical Band Gap in Semiconductor Nanostructures

The accurate prediction of the optical band gap in semiconductor nanostructures is essential for the design and optimization of optoelectronic and photonic devices. Due to the complex and nonlinear dependence of the band gap on nanoscale parameters, conventional analytical and numerical methods often face limitations in flexibility or computational efficiency. In this study, a Mamdani-type fuzzy inference system is developed to predict the optical band gap of semiconductor nanostructures by incorporating particle size, dielectric constant, and quantum confinement strength as input variables. Physically motivated membership functions and rule bases are constructed based on established quantum confinement principles. The results demonstrate that the proposed fuzzy model captures the inverse size dependence of the band gap, the effect of confinement strength, and the dielectric screening behavior in a smooth and interpretable manner. The generated response surfaces confirm the capability of fuzzy logic to model complex interactions between nanoscale parameters without introducing nonphysical discontinuities. This approach provides an efficient and transparent soft computing framework for band gap estimation and can be extended to hybrid or data-driven models for advanced material design.

کلیدواژه ها:

Fuzzy logic ، Optical band gap ، Semiconductor nanostructures ، Quantum confinement ، Dielectric constant ، Soft computing ، Mamdani inference system