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High-entropy alloys (HEAs) represent a paradigm shift in materials design and exhibit exceptional mechanical properties due to their multi-principal-element compositions. However, the vast compositional space poses significant challenges for traditional design approaches, which require innovative theoretical frameworks to guide the discovery of alloys with specific attributes, such as enhanced strength, ductility, and toughness. This conceptual study proposes a novel framework leveraging deep generative models to systematically explore and generate HEA compositions tailored to targeted mechanical properties. Drawing on principles from machine learning and materials physics, the framework integrates latent-space representations of alloy features, including valence-electron concentration and mixing enthalpy, to enable the conditional generation of virtual alloys. By synthesizing recent literature on HEAs and generative modeling in materials science, we establish the theoretical foundations of this approach and emphasize its potential to accelerate rational design without empirical validation. The proposed model addresses key limitations in current methodologies by incorporating uncertainty quantification and multi-objective optimization in a purely conceptual manner. This research advances the theoretical discourse in applied artificial intelligence for materials science, providing a blueprint for future conceptual explorations in alloy engineering. Ultimately, the framework envisions a transformative role for deep generative models in navigating the complexity of HEA design spaces.