| Interval Valued $(\in,\in\vee q)$-Fuzzy Filters of MTL-Algebras |
| Received:April 21, 2008 Revised:July 07, 2008 |
| Key Words:
MTL-algebra filter interval valued $(\in,\in\vee q)$-fuzzy (Boolean, $MV$- and $G$-) filters.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.,60875034), the Key Science Foundation of Education Committee of Hubei Province (Grant Nos.D20092901; D20092907) and the Natural Science Foundation of Hubei Province (Grant No.2009CDB340). |
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| Abstract: |
| The concepts of interval valued $(\in,\in\vee q)$-fuzzy Boolean, $MV$- and $G$- filters in a MTL-algebra are introduced. The properties of these generalized fuzzy filters are studied and in particular, the relationships between these fuzzy filters in an MTL-algebra are investigated. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.02.009 |
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