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Full-Text Articles in Physical Sciences and Mathematics

An Improvement In Centroid Point Method For Ranking Of Fuzzy Numbers, Saeid Abbasbandy, T. Hajjari Jan 2011

An Improvement In Centroid Point Method For Ranking Of Fuzzy Numbers, Saeid Abbasbandy, T. Hajjari

Saeid Abbasbandy

In many applications, ranking of fuzzy numbers is an important component of the decision process. Many authors have investigated the use of fuzzy sets in ranking alternatives and they have studied different methods of raking fuzzy sets. Particularly, the ranking of fuzzy numbers. In a paper by Cheng [A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Systems 95 (1998) 307-317], a centroid-based distance method was suggested for ranking fuzzy numbers, both normal and non-normal. The method utilizes the Euclidean distances from the origin to the centroid point of each fuzzy numbers to compare and rank …


Solution Of Fully Fuzzy Linear Systems By St Method, M. Mosleh, M. Otadi, Saeid Abbasbandy Jan 2011

Solution Of Fully Fuzzy Linear Systems By St Method, M. Mosleh, M. Otadi, Saeid Abbasbandy

Saeid Abbasbandy

In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems where fuzzy coefficient matrix is a positive matrix. This paper mainly discusses a new decomposition of a nonsingular fuzzy matrix, a symmetric matrix times to a triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.


A Method For Solving Fully Fuzzy Linear System, M. Mosleh, Saeid Abbasbandy, M. Otadi Jan 2011

A Method For Solving Fully Fuzzy Linear System, M. Mosleh, Saeid Abbasbandy, M. Otadi

Saeid Abbasbandy

In this paper, a numerical method for finding minimal solution of a m*n fully fuzzy linear system of the form Ax=b based on pseudo inverse calculation, is given when the central matrix of coeficients is row full rank or column full rank, and where A is a non-negative fuzzy m*n matrix, the unknown vector x is a vector consisting of n non-negative fuzzy numbers and the constant b is a vector consisting of m non-negative fuzzy numbers.


Solving Fuzzy Linear System By Fuzzy Neural Network And Applications In Economics, M. Otadi, M. Mosleh, Saeid Abbasbandy Jan 2011

Solving Fuzzy Linear System By Fuzzy Neural Network And Applications In Economics, M. Otadi, M. Mosleh, Saeid Abbasbandy

Saeid Abbasbandy

In this paper, a novel hybrid method based on fuzzy neu- ral network for estimate fuzzy coefficients (parameters) of fuzzy linear supply and demand function, is presented. Here a neural network is considered as a part of a large field called neural computing or soft computing. Moreover, in order to find the approximate parameters, a simple algorithm from the cost function of the fuzzy neural network is proposed.