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The PhD studies of the author focus on a human-centered and computationally-challenging interdisciplinary problem of the Stable Roommates problem and its variations. Motivated by real-world applications, and by the fact that the Stable Roommates problem does not always admit a stable solution, the goal is to develop novel computational methods to solve these problems, that are not only computationally efficient but also yield solutions that are fair, personalized, and applicable in real-world to benefit humans.