L-Fuzzy幂群.pdf

L-Fuzzy 1965 ÆL.A.Zadeh Fuzzy Sets Æ  Zadeh 1971 Æ Rosenfeld   ℄℄  Æ Æ Æ L-Fuzzy ℄ G L-Fuzzy L-Fuzzy L-Fuzzy L-Fuzzy L-Fuzzy L-Fuzzy L-Fuzzy L-Fuzzy L-Fuzzy i L-Fuzzy L-Fuzzy Power Group ABSTRACT L.A.Zadeh published Fuzzy Sets in 1965, symbolized the birth of the fuzzy mathematics. Fuzzy mathematics is a new mathematics branch which develops with the fundation of fuzzy Sets theory. The creation of fuzzy mathematics provide the possibility of expanding the application of mathematics from accurate phenomenon to the fuzzy phenomenon, have positive effect in the development of modern science. Make use of the concept of fuzzy Sets, Which is introduced by Zadeh, Rosefeld firstly let the algebra structures fuzzized, announced the creation of fuzzy algebra. At now time, there have been some articles on conneting fuzzy structure with algebra structure. For example, fuzzy subgroup, fuzzy noamal subgroup, fuzzy quotient group. But with the development of fuzzy mathematics, the algebra structures of groups are upgraded from their universes to their power sets, as well to their fuzzy power sets, not only upgraded from their universes to lattices, but also from their universes to L-Fuzzy sets. In this paper, The first part outlines the background and development of L-Fuzzy power group. The second part gives prepare knowledge about L-Fuzzy power group. The third part defines the L-Fuzzy power group on group G, and then presents some properties of