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The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate, multiparameter data. Essential core components, including multidimensional fuzzy topology, basis, and subspace, are rigorously described within this framework. We create many mathematical instruments to facilitate study inside the MDTMS framework, encompassing concepts of multidimensional carrier, closure, core, and interior. Additionally, we analyze sequences of multidimensional fuzzy sets and introduce two forms of convergence, together with their fundamental characteristics. To illustrate the practical significance of the proposed framework, we introduce a decision\u2010making methodology grounded in Euclidean multidimensional distance functions incorporated within the MDTMS structure. Examples are shown to demonstrate the relevance and efficacy of the proposed notions.<\/jats:p>","DOI":"10.1155\/adfs\/7832893","type":"journal-article","created":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T08:59:59Z","timestamp":1767949199000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Multidimensional Topological Measure Spaces and Their Applications in Decision\u2010Making Problems"],"prefix":"10.1155","volume":"2026","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-5450-120X","authenticated-orcid":false,"given":"Jomal","family":"Josen","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6333-2884","authenticated-orcid":false,"given":"Sunil Jacob","family":"John","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5558-1581","authenticated-orcid":false,"given":"T.","family":"Baiju","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2026,1,9]]},"reference":[{"key":"e_1_2_12_1_2","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1007\/11539506_3","volume-title":"Fuzzy Systems and Knowledge Discovery: Second International Conference, FSKD 2005, Changsha, China, August 27-29, 2005, Proceedings, Part I 2","author":"Zeng W.","year":"2005"},{"key":"e_1_2_12_2_2","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s10700-010-9095-9","article-title":"Extension Principles for Interval-Valued Intuitionistic Fuzzy Sets and Algebraic Operations","volume":"10","author":"Li D. 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