In this paper, a new hypothesis of fuzzy number has been proposed which is more precise and direct. This approach considered as an equivalence class on set real numbers R with its algebraic structure properties along theoretical study computational results. Newly defined provides well-structured summary that offers both deeper knowledge about the theory extensive view algebra. We field newly op...

Ranking of fuzzy numbers plays a very important role in linguistic decision making and some other fuzzy application systems. Several strategies have been proposed for ranking of fuzzy numbers. Each of these techniques has been shown to produce nonintuitive results in certain cases. In this paper, some new approaches for ranking of trapezoidal fuzzy numbers are introduced. Keywords— Magnitude of...

This paper describes a self-organizing artificial neural network, based on Kohonen’s model of self-organization, which is capable of handling fuzzy input and of providing fuzzy classification. Unlike conventional neural net models, this algorithm incorporates fuzzy set-theoretic concepts at various stages. The input vector consists of membership values for linguistic properties along with some ...

in this paper the solution of a second order linear dierential equations with intu-itionistic fuzzy boundary value is described. it is discussed for two dierent cases: coecientis positive crisp number and coecient is negative crisp number. here fuzzy numbers aretaken as generalized trapezoidal intutionistic fuzzy numbers (gtrifns). further a numericalexample is illustrated.

A purchasing inventory model with shortages where carrying cost, shortage cost, setup cost and demand quantity are considered as fuzzy numbers. The fuzzy parameters are transformed into corresponding interval numbers and then the interval objective function has been transformed into a classical multi-objective economic ordering quantity (EOQ) problem. To minimize the interval objective function...

In this paper, we address the issue of ordering events by simultaneously considering three separate heuristics using fuzzy methods. Combinations of the following three heuristic orderings are employed: largest degree, saturation degree and largest enrollment. The fuzzy weight of an event is used to represent how difficult it is to schedule. The decreasingly ordered events are sequentially chose...