Conorms over anti fuzzy vector spaces

In this work, by using t -conorm C , we introduce anti fuzzy vector spaces and define sum, union, direct sum and normality of anti fuzzy vector spaces. We prove that sum, union, direct sum and normality of anti fuzzy vector spaces is also anti fuzzy vector space under t -conorm C . Moreover, we investigate linear transformations over anti fuzzy vector spaces (normal anti fuzzy vector spaces) under t -conorms and prove that image and pre image of them is also anti fuzzy vector space (normal anti fuzzy vector space) under t -conorms.