Interval Valued (∈,∈ ∨q)-Fuzzy Filters of MTL-Algebras  

作　　者：Xue Ling MA Jian Ming ZHAN Kar Ping SHUM 

机构地区：[1]Department of Mathematics, Hubei Institute for Nationalities, Hubei 445000, P. R. China [2]Department of Mathematics, The University of Hong Kong, Hong Kong, P. R. China (SAR)

出　　处：《Journal of Mathematical Research and Exposition》2010年第2期265-276,共12页数学研究与评论（英文版）

基　　金：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);the Natural Science Foundation of Hubei Province (Grant No.2009CDB340)

摘　　要：The concepts of interval valued （∈,∈ ∨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.The concepts of interval valued （∈,∈ ∨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.

关 键 词：MTL-algebra filter interval valued （∈ ∈ ∨q）-fuzzy （Boolean  MV- and G-） filters. 

分 类 号：O153.2[理学—数学] TN911.23[理学—基础数学]