In this paper, the fuzzy dual matrix system as AX + B = CX + D in which A, B, C, D, X are LR fuzzy matrices is studied. At first we solve 1-cut system in order to find the core of LR fuzzy solution; then to obtain the spreads of the LR fuzzy solution, we discuss in several cases. The spreads are obtained by using multiplication, quasi norm and minimization problem with a special objective funct...

We consider the inclusion of fuzzy numbers by numbers of a predefined class where the plateaus of the including numbers may differ from the original one. Fuzzy multiplication is investigated as important special case. The results are of particular interest for the approximate solution of fuzzy linear equation systems.

Fuzzy numbers with a unimodal membership function are presented, which have found application in the fuzzy analysis of such subject fields as ecology, chemical technology. In this article, set an special type is considered. Two binary operations (addition and multiplication) given over set, formulas for calculation obtained some properties algebra investigated. It proved that addition multiplic...

A fuzzy number is simply an ordinary number whose precise value is somewhat uncertain. Fuzzy numbers are used in statistics, computer programming, engineering, and experimental science. The arithmetic operators on fuzzy numbers are basic content in fuzzy mathematics. Operation of fuzzy number can be generalized from that of crisp interval. The operations of interval are discussed. Multiplicatio...

In this paper, for an arbitrary multiplicative functional f from the set of all upper triangular fuzzy matrices to the fuzzy algebra, we prove that there exist a multiplicative functional F and a functional G from the fuzzy algebra to the fuzzy algebra such that the image of an upper triangular fuzzy matrix under f can be represented as the product of all the images of its main diagonal element...

In this paper we define multiplication between intuitionistic fuzzy matrices (IFMs) and we derive the conditions for a block IFM to be regular. Also a method to find the generalized inverse of it with the help of the generalized inverses of the blocks of the original matrix is described. Again, it is shown that a block intuitionistic fuzzy matrix can be decomposed into an upper triangular idemp...

The TOPSIS process is one of the most comprehensive systems designed for decision making with multiple criteria, since this technique enables formulation of the problem as decision matrix, as well as the possibility of considering different quantitative and qualitative criteria in the problem. Fuzzy TOPSIS methods have been introduced to make fundamental decisions that make decisions decisions ...

In this paper we consider the use of fuzzy estimators –a new and promising approach of estimating the parameters of a probability distribution from statistical samples– to represent mathematical knowledge in expert systems. A class of fuzzy estimators suitable for fuzzy arithmetics generalizes the existing approaches and it is used to derive the fuzzy estimators for the parameters of the normal...