Item features play an important role in movie recommender systems, where recommendations can be generated by using explicit or implicit preferences of users on traditional features (attributes) such as tag, genre, and cast. Typically, movie features are human-generated, either editorially (e.g., genre and cast) or by leveraging the wisdom of the crowd (e.g., tag), and as such, they are prone to...

‎Let $L$ be a Lie algebra‎, ‎$mathrm{Der}(L)$ be the set of all derivations of $L$ and $mathrm{Der}_c(L)$ denote the set of all derivations $alphainmathrm{Der}(L)$ for which $alpha(x)in [x,L]:={[x,y]vert yin L}$ for all $xin L$‎. ‎We obtain an upper bound for dimension of $mathrm{Der}_c(L)$ of the finite dimensional nilpotent Lie algebra $L$ over algebraically closed fields‎. ‎Also‎, ‎we classi...

Mediation Information System Engineering project is starting its third iteration (MISE 3.0). The main objective of this paper is to introduce that version. MISE 3.0 aims at defining and designing a platform, dedicated to detect, initiate and support any collaboration opportunity among potential partners (obviously based on results inherited from MISE 1.0 and MISE 2.0). This MISE 3.0 platform im...

In this paper, we propose a novel method for ranking a set of fuzzy numbers. In this method a preference index is proposed based on $alpha$-optimistic values of a fuzzy number. We propose a new ranking method by adopting a level of credit in the ordering procedure. Then, we investigate some desirable properties of the proposed ranking method.

the process of stage designing in its traditional and usual sense, takes its basic roots from the conscious mind of the designer rather than his/her unconscious mind. in the meantime, the unconscious mind has a unique power and the modern visual arts- especially after the second world war- have tended towards by using different methods such as happenings and abstract designing. however, the tra...

the doctrine of piercing the corporate veil fascilitated holding directors liable for corporate debt. nevertheless, the doctrine is not a seperate cause of action. directors are bound by fiduciary duty, duty of loyalty and duty of care and skill to the corporation and its shareholders. however, there is not such a contractual relationship between directors and creditors. thus, requiring directo...