Title :
An Axiomatic Characterization of Fuzzy Formal Contexts Based on T-implication Operators
Author :
Song, Xiaoxue ; Zhang, Wenxiu
Author_Institution :
Dept. of Comput., Xianyang Normal Coll., Xianyang, China
Abstract :
In this paper, the fuzzy concept based on T-implication operators is studied by the axiomatic approach. An operators-oriented characterization of the fuzzy concept is proposed, that is, the fuzzy intent-extent operator and the fuzzy extent-intent operator based on T-implication operators are defined by axioms. The axiom sets of the fuzzy concept operators guarantee the existence of fuzzy relations which produce the same operators.
Keywords :
fuzzy set theory; mathematical operators; T-implication operators; axiomatic characterization; fuzzy extent-intent operator; fuzzy formal contexts; fuzzy intent-extent operator; Computer science; Educational institutions; Fuzzy set theory; Fuzzy sets; Lattices; formal concept analysis; fuzzy concept; fuzzy contexts; implication operator;
Conference_Titel :
Computer Science and Computational Technology, 2008. ISCSCT '08. International Symposium on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3746-7
DOI :
10.1109/ISCSCT.2008.218
