A convergent algorithm for nonnegative matrix factorization (NMF) with orthogonality constraints imposed on both basis and coefficient matrices is proposed in this paper. This concept was first introduced by Ding et al. (Proceedings of 12th ACM SIGKDD international conference knowledge discovery data mining, pp 126–135, 2006) intent to further improve clustering capability NMF. However, as the ...

This paper deals with bi-matrix games random payoffs. Using probability tools, we propose a solution based on the concept of Z-equilibrium. Then, give sufficient conditions its existence. Further, problem computation this is transformed into determination Pareto optimal solutions deterministic bi-criteria minimization problem. Finally, provide illustrative numerical examples.

The values of a two-player zero-sum binary discounted game are characterized by a P-matrix linear complementarity problem (LCP). Simple formulas are given to describe the data of the LCP in terms of the game graph, discount factor, and rewards. Hence it is shown that the unique sink orientation (USO) associated with this LCP coincides with the strategy valuation USO associated with the discount...

The purpose of the paper is to study how to solve a type of matrix games with payoffs of triangular fuzzy numbers. In this paper, the value of a matrix game with payoffs of triangular fuzzy numbers has been considered as a variable of the triangular fuzzy number. First, based on two auxiliary linear programming models of a classical matrix game and the operations of triangular fuzzy numbers, fu...

This paper presents a problem-based learning (PBL) approach developed to introduce students to business intelligence. Using a simulation game approach called ERPsim, students must manage the operation of a distribution company under an ERP system. The transaction data are made available to students through a database called ERPsim BI which is updated dynamically during the game. Learners must b...

(Bi,Pb)–Sr−Ca–Cu–O glasses, annealed in proper conditions, transform into a granular metal and superconductor. As a result of annealing oxide superconductors belonging to the bismuth family (Bi,Pb)2Sr2CuOx, (Bi,Pb)2Sr2CaCu2Ox, and (Bi,Pb)2Sr2Ca2Cu3Ox crystallize. (Bi,Pb)–Sr– Ca–Cu–O glass-ceramic samples were obtained by annealing the amorphous solid at temperatures between 500◦C and 870◦C. The...

A two person zerosum game is of the form 〈{1, 2}, S1, S2, u1,−u1〉. Note that when a player tries to maximize her payoff, she is also simultaneously minimizing payoff of the other player. For this reason, these games are also called strictly competitive games. Player 1 is usually called the row player and player 2 is called the column player . Let S1 = {s11, s12, . . . , s1m} and S2 = {s21, s22,...