Abstract
The concepts of fuzzy ultra filters and fuzzy G-filters of MTL-algebras are introduced. Some examples are given and the following main results are proved: (1) a fuzzy filter of MTL-algebra is fuzzy ultra filter if and only if it is both a fuzzy prime filter and fuzzy Boolean filter; (2) a fuzzy filter of MTL-algebra is fuzzy Boolean filter if and only if it is both a fuzzy G-filter and fuzzy MV-filter.
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© 2005 Springer-Verlag Berlin Heidelberg
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Zhang, Xh., Wang, Yq., Liu, Yl. (2005). Fuzzy Ultra Filters and Fuzzy G-Filters of MTL-Algebras. In: Wang, L., Jin, Y. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2005. Lecture Notes in Computer Science(), vol 3613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539506_20
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DOI: https://doi.org/10.1007/11539506_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28312-6
Online ISBN: 978-3-540-31830-9
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