Fuzzy geometric spaces and their application to Persian medicine as a multicriteria decision-making problem

In this article, we introduce fuzzy geometric spaces as a unified generalization of broad fuzzy set concepts, including q‑rung orthopair, picture, spherical, and multi-fuzzy sets. The primary objective of this study is to develop a comprehensive framework capable of handling all types of variables, thereby overcoming the limitations of existing methods that are often restricted to specific categories (e.g., discrete, continuous, qualitative, or quantitative). We define distance and similarity measures within these spaces and present an algorithm for their application in multicriteria decision‑making problems. A key advantage of this framework is its ability to accommodate diverse fuzzification methods within a single problem, a capability absent in conventional fuzzy methodologies. Finally, we apply this framework to analyze Mizaj questionnaires in Persian medicine, yielding more accurate results than previously possible.

کلیدواژه ها:

Fuzzy geometric space ، Multi-degree of membership ، Multicriteria decision-making problems