The linear system of equations Ax = b where A = [aij ] in Cn.n is a crispsingular matrix and the right-hand side is a fuzzy vector is called a singularfuzzy linear system of equations. In this paper, solving singular fuzzy linearsystems of equations using generalized inverses such as Drazin inverse andpseudo-inverse are investigated.

cost reduction is one of the methods applied for improving the productivity of organizations. in productivity literature, particularly in nonparametric methods, cost reduction related methods are regarded as input oriented models. this paper presents a supply chain management (scm) model in which purchasing iron ore and coke from different resources, along with production and distribution of st...

this paper presents a genetic algorithm (ga) for solving a generalized model of single-item resource-constrained aggregate production planning (app) with linear cost functions. app belongs to a class of pro-duction planning problems in which there is a single production variable representing the total production of all products. we linearize a linear mixed-integer model of app subject to hiring...

this paper is focused on the tactical design of steel supply chain (ssc). a general mathematical model is proposed to integrate production and transportation planning in multi-commodity ssc. the main purpose is to prepare a countrywide production and distribution plan in an ssc with three layers consisting of iron ore mines as suppliers, steel companies as producers, and subsidiary steel compan...

information on the productivity, costs and applications of the logging system is a key component in the evaluation of management plans for the rehabilitation and utilization of caspian forests. skidding and road construction costs are expensive forest operations. determining the optimum forest road network density is one of the most important factors in sustainable forest management. logging me...

a procedure is presented that synthesizes fractional crystallization separation processes to obtain pure solids from multi-component solutions. the method includes a procedure to generate a network flow model to identify alternative process designs for fractional crystallization. the main advantage of this systematic procedure with respect to other reported procedures is using non-equilibrium s...

many ranking methods have been proposed so far. however, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. for overcoming the above problems, we propose a new method for ranking fuzzy quantities based on ...

abstract a quantitative framework of combination of liner programming and cooperative game theory was used in this study to analyze and model cooperative contracts in production based on rural households' resources cooperation in firoozabad plain. revenues and costs in cooperation game theory have important rule to get agreement. transaction cost function was used in cooperative costs accountin...