Formalization Research of Topological Relation BetweenHigh Order Fuzzy Regions

Objective The structure of interval type-II fuzzy regions was analyzed based on the interval type-IIfuzzy region model.The n-intersection matrix and the calculation for each cell of a topological relationin an interval type-II fuzzy region were developed by extending the classical n-intersection model forcrisp regions.Then,the formalization analysis method of topological relation of interval type-II fuzzyregion was proposed.The similarity between topological relation matrix of interval type-II fuzzy re-gion and eight basic topological relations was calculated and sorted,then the basic relation correspond-ing with the maximum similarity degree becomes the primary topological relation,therefore possiblerelations can be analyzed through combining the topological relation distance.The theory and methodproposed by this paper was validated by a test case.