Inner Product Fuzzy Quasilinear Spaces and Some Fuzzy Sequence Spaces

It has been shown that the class of fuzzy sets a quasilinear space structure. In addition, various norms are defined on this class, and it is given normed with these norms. study, we first developed algebraic structure F ℝ n gave definitions such as independence, dimension, basis in spaces. Then, special norms, namely, id="M2"> open="‖" close="‖" u q = id="M3"> ∫ 0 1 sup x ∈ open="[" close="]" α d / where id="M4"> ≤ ∞ , stated id="M5"> , complete space. Furthermore, introduced an inner product for case id="M6"> 2 . The must be form id="M7"> open="〈" close="〉" v K open="{" close="}" a b : For id="M8"> We also proved parallelogram law can only provided regular subspace, not entire id="M9"> . Finally, showed number sequences Hilbert