论文信息 - Generalized fuzzy groups and many-valued implications

Generalized fuzzy groups and many-valued implications

In this paper, we give the definition of a fuzzy subgroup with thresholds which is a generalization of Rosenfeld's fuzzy subgroup and Bhakat and Das's fuzzy subgroup. We also give the definition of an implication-based fuzzy subgroup and discuss relations between two fuzzy subgroups.

[1] John N. Mordeson,et al. Fuzzy commutative algebra , 1998 .

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

[3] Didier Dubois,et al. Fuzzy sets and systems ' . Theory and applications , 2007 .

[4] Donald W. Barnes,et al. An Algebraic Introduction to Mathematical Logic , 1975 .

[5] P. Das. Fuzzy groups and level subgroups , 1981 .

[6] J. M Anthony,et al. Fuzzy groups redefined , 1979 .

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

[8] M. Ying. A new approach for fuzzy topology (II) , 1991 .

[9] S. K. Bhakat,et al. On the definition of a fuzzy subgroup , 1992 .

[10] Ying Ming-Sheng,et al. On standard models of fuzzy modal logics , 1988 .