@inproceedings{3f65dd05ad64461998fb7c4f80831031,
title = "Fuzzy-valued transitive inclusion measure, similarity measure and application to approximate reasoning",
abstract = "In fuzzy set theory, inclusion measure indicates the degree to which a given fuzzy set is contained in another fuzzy set. Many inclusion measures taking values in [0,1] have been made in the literature. This paper proposes a series of fuzzy-valued inclusion measures which, by a relation view, are reflexive, antisymmetric and I-transitive where I is a left-continuous triangular norm; In addition, they possess most of the axiomatic properties which are postulated by Sinha and Dougherty for an inclusion measure. Fuzzy-valued similarity measures are also defined by the fuzzy-valued inclusion measures; They have I-transitivity and properties introduced by Liu for a similarity measure. Lastly two methods for inference in approximate reasoning based on the fuzzy-valued inclusion measure and the fuzzy-valued similarity measure are studied.",
keywords = "Fuzzy inference, Fuzzy-valued inclusion measure, Fuzzy-valued similarity measure",
author = "Zhang, \{Hong Ying\} and Zhang, \{Wen Xiu\}",
year = "2007",
doi = "10.1007/978-3-540-72458-2\_54",
language = "英语",
isbn = "9783540724575",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "435--442",
booktitle = "Rough Sets and Knowledge Technology - Second International Conference, RSKT 2007, Proceedings",
note = "2nd International Conference on Rough Sets and Knowledge Technology, RSKT 2007 ; Conference date: 14-05-2007 Through 16-05-2007",
}