Interval Valued $(\in,\in\vee q)$-Fuzzy Filters of MTL-Algebras
Received:April 21, 2008  Revised:July 07, 2008
Key Word: MTL-algebra   filter   interval valued $(\in,\in\vee q)$-fuzzy (Boolean, $MV$- and $G$-) filters.  
Fund ProjectL: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).
Author NameAffiliation
Xue Ling MA Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, P. R. China 
Jian Ming ZHAN Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, P. R. China 
Kar Ping SHUM Department of Mathematics, The University of Hong Kong, Hong Kong, P. R. China (SAR) 
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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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