The paper introduces ε-T-transitive fuzzy relations as a relaxed form of T-transitivity and characterizes aggregation functions that preserve them, enabling approximate transitivity for clustering and inference tasks.
Grzegorzewski, Probabilistic implications, Fuzzy Sets and Systems 226(2013)53-66
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Measuring and aggregating {\epsilon}-T-transitive fuzzy relations
The paper introduces ε-T-transitive fuzzy relations as a relaxed form of T-transitivity and characterizes aggregation functions that preserve them, enabling approximate transitivity for clustering and inference tasks.