HOMOMORFISMA DAN ANTI-HOMOMORFISMA DARI LEVEL SUBGRUP DALAM SUBGRUP FUZZY

Abstract

One development of algebra is to combine the concept of algebra with the concept of fuzzy set. Some researchers have also found the development of the fuzzy set in algebraic fields, including fuzzy subgroups. Furthermore, in the subgroup fuzzy known subgroup level is a subgroup of the group. This study proves the image and pre-image homomorphism and anti homomorphism of the subgroup level in fuzzy subgroups. The study was conducted by studying literature from various sources, both books and journals that support and relevant to the review conducted. Based on the research conducted by some properties of image and pre-image homomorphism in the fuzzy subgroup is a fuzzy subgroup, a fuzzy subset of ββ is a fuzzy subgroup of 𝐺𝐺 if and only if the fuzzy subset level of bβ (ββ𝑡𝑡) is a subgroup of 𝐺𝐺, if 𝐺𝐺 group and subgrup from 𝐺𝐺 then there is a fuzzy βgubsubsup of so such that ββ𝑡𝑡 = 𝐼𝐼 for every 𝑡𝑡∈ [0,1] and the image and pre-image homomorphism and anti-homomorphism of the subgroup level are subgroup level.