Abstract: The paper presents a model of the geriatric medical diagnostic support system (MDSS) developed in the context of artificial intelligence (AI) using elements of the explainable artificial intelligence (XAI) paradigm, such as computing with words (CWW), fuzzy SWOT analysis maps (FSM), possibility of verbal evaluation of sixteen symptoms, and estimates of the four interacting syndromes and their verbal interpretations. The functional organization of the model is presented mathematically using a vector description method and fuzzy reasoning operations. The viability and proper functioning of the implemented software model are confirmed by a pilot advisory practice in a geriatrics clinic. The paper concludes with a list of future further research.