M-Hazy Vector Spaces over M-Hazy Field

Faisal Mehmood, Fu-Gui Shi
2021 Mathematics  
The generalization of binary operation in the classical algebra to fuzzy binary operation is an important development in the field of fuzzy algebra. The paper proposes a new generalization of vector spaces over field, which is called M-hazy vector spaces over M-hazy field. Some fundamental properties of M-hazy field, M-hazy vector spaces, and M-hazy subspaces are studied, and some important results are also proved. Furthermore, the linear transformation of M-hazy vector spaces is studied and
more » ... ir important results are also proved. Finally, it is shown that M-fuzzifying convex spaces are induced by an M-hazy subspace of M-hazy vector space.
doi:10.3390/math9101118 fatcat:qdm2rdemxvht5ijyctlcfeqgva