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Paper · arXiv

Triangular Fuzzy Rescaling Distance

Decision-making in complex systems often involves dealing with imprecise or uncertain information, frequently represented using fuzzy sets, particularly Triangular Fuzzy Numbers (TFNs). A crucial aspect of many fuzzy methods is the quantification of distance between TFNs. Many distance measures assume that all values are in the same scale, requiring a preliminary normalization stage when applied to heterogeneous attributes with different scales or units. This paper proposes the Triangular Fuzzy Rescaling Distance (d_{TR}), a metric designed to address this challenge. The d_{TR} uniquely integrates Linear Rescaling (LRE) directly into the distance calculation, ensuring normalization during...

AuthorsEddy Soria, Aida Valls, Ana Beatriz Hernández-Lara
Primary categorycs.LG
Published4 August 2026
Last updated at source4 August 2026
cs.LGcs.AImath.GM
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