Abstract
Triangle type-2 fuzzy sets, whose complexity is between general and interval type-2 fuzzy sets, can achieve balance between complexity-reduced and information-protected. However, operations on triangle type-2 fuzzy sets that exist in the literatures have some drawbacks in theory. In this paper, we reconstruct the framework of set-theoretic operations on triangle type-2 fuzzy sets by presenting polygon type-2 fuzzy sets, and give manageable and simplified formulas for operations on triangle type-2 fuzzy sets.
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