We examine a linear programming problem formulation in which the constraint coefficients are not precisely given in the work. We investigate the possibility of applying GAs to solve this kind of fuzzy linear programming problem without defining membership functions for fuzzy numbers, using the extension principle, interval arithmetic, and α-cut operations for fuzzy computations, and using a pen...

The aim of Fuzzy transportation is to find the least transportation cost of some commodities through a capacitated network when the supply and demand of nodes and the capacity and cost of edges are represented as fuzzy numbers. Many previous papers [4, 5, 13, 14] have presented arithmetic operations, alpha level and simple ranking by operations. P. Pandian [7, 8] has presented some methods for ...

We present the fuzzy induced generalized OWA (FIGOWA) operator. It is an aggregation operator that uses the main characteristics of the fuzzy OWA (FOWA) operator, the induced OWA (IOWA) operator and the generalized OWA (GOWA) operator. Therefore, it uses uncertain information represented in the form of fuzzy numbers, generalized means and order inducing variables. The main advantage of this ope...

This thesis develops the idea of probabilistic arithmetic The aim is to replace arithmetic operations on numbers with arithmetic operations on random variables Speci cally we are interested in numerical methods of calculating convolutions of probability distributions The long term goal is to be able to handle random prob lems such as the determination of the distribution of the roots of random ...