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.
Yager, On some new classes of implication operators and their role in approximate reasoning, Information Sciences 167(2004)193-216
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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.