The vector space model of information retrieval is one of the classical and widely applied retrieval models. Paradoxically, it has been characterised by a discrepancy between its formal framework and implementable form. The underlying concepts of the vector space model are mathematical terms: linear space, vector, and inner product. However, in the vector space model, the mathematical meaning o...

In this note first by considering the notion of general fuzzy automata (for simplicity GFA), we define the notions of direct product, restricted direct product and join of two GFA. Also, we introduce some operations on (Fuzzy) sets and then prove some related theorems. Finally we construct the general fuzzy recognizers and recognizable sets and give the notion of (trim) reversal of a given GFA....

In this paper, we introduce the notion of fuzzy C-matroids, a new class of fuzzy matroids. We study properties of this class and define several new types of fuzzy maps between fuzzy matroids. In addition, we define fuzzy C-inner and fuzzy C-closure operators in this class and characterize fuzzy C-matroids and fuzzy maps between matroids in terms of these notions.