Imprecision Measures for Type-2 Fuzzy Sets: Applications to Linguistic Summarization of Databases
ICAISC '08 Proceedings of the 9th international conference on Artificial Intelligence and Soft Computing
α-plane representation for type-2 fuzzy sets: theory and applications
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems - Special section on computing with words
IEEE Transactions on Fuzzy Systems - Special section on computing with words
New linguistic hedges in construction of interval type-2 FLS
ICAISC'10 Proceedings of the 10th international conference on Artifical intelligence and soft computing: Part II
Information Sciences: an International Journal
Towards linguistic descriptions of phenomena
International Journal of Approximate Reasoning
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This paper introduces an application of type-2 fuzzy sets in data linguistic summarization. The original approach by Yager (1982) based on representing natural language statements via type-1, i.e., the Zadeh fuzzy sets, is generalized with type-2 fuzzy sets applied as models of linguistically expressed quantities and/or properties of objects. Type-2 sets extend the known summarization procedures by handling fuzzy values stored in databases, and allow to represent a linguistic term via a few different membership functions (e.g., provided by different experts), which makes the method more general and human-consistent. Furthermore, quality measures for type-2 summaries are discussed in order to evaluate the informativeness of the messages generated. Finally, two prototype applications are presented and the success of the new method is discussed.