This paper deals with a new concept introducing notion of fuzzy set to one mathematical model describing a economic system. A finite pure exchange economy is considered.

1. A random variable is a variable that takes specific values with specific probabilities. It can be thought of as a variable whose value depends on the outcome of an uncertain event. 2. We usually denote random variables by capital letters near the end of the alphabet; e.g., X,Y,Z. 3. Example: Let X be the outcome of the roll of a die. Then X is a random variable. Its possible values are 1, 2,...

We investigate a random network design problem speci…ed by a complete graph with n nodes whose edges have associated …xed costs that are independent random variables, and variable costs associated that are also independent random variables. The objective is to …nd a spanning tree whose total …xed cost plus total variable cost is minimum, where the total variable cost is the sum of variable cost...

In order to deal with a system with both randomness and uncertainty, chance theory has been built, and uncertain random variable has been proposed as a generalization of random variable and uncertain variable. Correspondingly, as a generalization of both stochastic process and uncertain process, this paper will propose an uncertain random process. In addition, some special types of uncertain ra...

In this paper, we present the design of a variable width RAM (VaWiRAM) which will be extremely useful in building exible memory systems. Principles of dynamic reconngurability of programmable logic and programmable interconnect is incorporated into random access memories to achieve this exibility. The chip can be reconngured by setting a few conngura-tion pins on the memory chip. A VaWiRAM reco...

When we deal with the estimator of a parameter, it is important for us to find an estimator with minimum variance. For this reason, this paper discuss on the variance of fuzzy random variable. There are two different approaches to the definition of the variance of a fuzzy random variable. In the first one, the variance of the fuzzy random variable is defined as a crisp number by using defuzzifi...

Continuous random variables are widely used to mathematically describe random phenomenon in engineering and physical sciences. In this paper, we present a higher-order logic formalization of the Standard Uniform random variable. We show the correctness of this specification by proving the corresponding probability distribution properties within the HOL theorem prover and the proof steps have be...

variables Continuity theorems and chance distribution of random fuzzy Email alerting service here right-hand corner of the article or click Receive free email alerts when new articles cite this article-sign up in the box at the top A random fuzzy variable is a function from a possibility space to the set of random variables. In this paper, some mathematical properties of a random fuzzy variable...

To understand the potentials of bayesian panel data analysis, simulated data are used to estimate a random effects model. Prior Gaussian distributions of various precision are used to understand the influence of the prior information on continuous, discrete, time varying and time constant variables. It is demonstrated that parameters of dummy variables are far more sensitive to priors than para...