On imaginable T-fuzzy subalgebras and imaginable T-fuzzy closed ideals in BCH-algebras
We inquire further into the properties on fuzzy closed ideals. We give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal. We describe the fuzzy closed ideal generated by a fuzzy set, and give a characterization of...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006408 |
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| Summary: | We inquire further into the properties on fuzzy closed ideals. We
give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal. We describe the fuzzy closed ideal generated by a
fuzzy set, and give a characterization of a finite-valued fuzzy closed ideal. Using a t-norm T, we introduce the notion of (imaginable) T-fuzzy subalgebras and (imaginable) T-fuzzy closed ideals, and obtain some related results. We give relations
between an imaginable T-fuzzy subalgebra and an imaginable
T-fuzzy closed ideal. We discuss the direct product and
T-product of T-fuzzy subalgebras. We show that the family of
T-fuzzy closed ideals is a completely distributive lattice. |
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| ISSN: | 0161-1712 1687-0425 |