New Results in Fuzzy Clustering Based on the Concept of Indistinguishability Relation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Searching for flexible repeated patterns using a non-transitive similarity relation
Pattern Recognition Letters
Fuzzy Sets and Systems
Fuzzy tolerance relation, fuzzy tolerance space and basis
Fuzzy Sets and Systems
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
A Generalized Definition of Rough Approximations Based on Similarity
IEEE Transactions on Knowledge and Data Engineering
Restoring Consistency in Systems of Fuzzy Gradual Rules Using Similarity Relations
SBIA '02 Proceedings of the 16th Brazilian Symposium on Artificial Intelligence: Advances in Artificial Intelligence
On (un)suitable fuzzy relations to model approximate equality
Fuzzy Sets and Systems - Theme: Basic notions
Fuzzy Sets and Systems - Theme: Basic notions
I-Fuzzy equivalence relations and I-fuzzy partitions
Information Sciences: an International Journal
Classification of Schistosomiasis Prevalence Using Fuzzy Case-Based Reasoning
IWANN '09 Proceedings of the 10th International Work-Conference on Artificial Neural Networks: Part I: Bio-Inspired Systems: Computational and Ambient Intelligence
Practical inference with systems of gradual implicative rules
IEEE Transactions on Fuzzy Systems
Similarity relations and fuzzy orderings
Information Sciences: an International Journal
Making fuzzy absolute and fuzzy relative orders of magnitude consistent
IFSA'03 Proceedings of the 10th international fuzzy systems association World Congress conference on Fuzzy sets and systems
Order compatible fuzzy relations and their elicitation from general fuzzy partitions
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
On learning similarity relations in fuzzy case-based reasoning
Transactions on Rough Sets II
Learning weights for the quasi-weighted means
IEEE Transactions on Fuzzy Systems
Aggregation of monotone reciprocal relations with application to group decision making
Fuzzy Sets and Systems
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We address a special kind of fuzzy relations capable of modeling that two elements in the universe of discourse are similar to the extent that they are close to each other with respect to a given total order. These order compatible fuzzy relations are reflexive and symmetric but not necessarily T-transitive. We address the requirements to construct such relations from a large class of fuzzy partitions that obey some requirements from the fuzzy sets in the partition, such as convexity, that are useful but not severely constraining. We also propose a new method to obtain those fuzzy relations from these partitions.