Fuzzy braid group: A concept

Abstract

The braid group has role in invariant of structure. Based on definition of a braid group, a permutation group and the fuzzy set, there are relation between them such that fuzzy group is well-defined. However, fuzzy group is indirect related to a braid group. In this paper, we will disclose direct relation between the braid group and the fuzzy set so that we get the fuzzy braid group by using the measurement about composition of generators of the braids.