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This paper presents fuzzy logic in computer graphics to generate soft shadows in virtual environments and augmented reality. A very short overview on hard shadow generation is introduced. Shadow volume which is a conventional technique to create hard shadow is the base algorithm for our approach to show hard shadows in crisp set. A new technique with help of shadow maps for generating soft shadows using fuzzy logic is used. Fuzzy logic could change the concept of soft shadows into mathematically simple forms. Conversion of the soft shadows into fuzzy logic could change some parts of complex calculation to a simple physical based approach for increasing the speed of rendering. ARToolkit is used for geometric tracking as well as stencil buffer. A credible soft shadow is produced by splitting the wide light source into many parts.