On Generalized Fuzzy Filters of MTL-Algebras

The notion of interval valued (\in,\in\vee q)-fuzzy filters of MTL-algebras is introduced and some related properties are investigated. Some characterizations of interval valued (\in,\in\vee q)-fuzzy filters is described.

[1]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[2]  R. Biswas.  Rosenfeld's fuzzy subgroups with interval-valued membership functions , 1994 .

[3]  Pu Pao-Ming,et al.  Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence , 1980 .

[4]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[5]  E. Turunen.  BL-algebras of basic fuzzy logic , 1999 .

[6]  Esko Turunen,et al.  Boolean deductive systems of BL-algebras , 2001, Arch. Math. Log..

[7]  Young Bae Jun,et al.  Fuzzy filters of MTL-algebras , 2005, Inf. Sci..

[8]  Cheng Zhang,et al.  Generalized fuzzy groups and many-valued implications , 2003, Fuzzy Sets Syst..

[9]  Petr Hájek,et al.  Metamathematics of Fuzzy Logic , 1998, Trends in Logic.

[10]  S. K. Bhakat,et al.  (ε Ɛ V Q)-fuzzy Subgroup , 1996, Fuzzy Sets Syst..

[11]  Yongquan Wang,et al.  Fuzzy Ultra Filters and Fuzzy G-Filters of MTL-Algebras , 2005, FSKD.

[12]  Lluis Godo,et al.  Monoidal t-norm based logic: towards a logic for left-continuous t-norms , 2001, Fuzzy Sets Syst..

[13]  Bijan Davvaz,et al.  (∈, ∈ ∨ q)-fuzzy subnear-rings and ideals , 2006, Soft Comput..

[14]  Sandeep Kumar Bhakat,et al.  (∈, ∈∨q)-fuzzy Normal, Quasinormal and Maximal Subgroups , 2000, Fuzzy Sets Syst..

[15]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..