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This article seeks to modeling social welfare functions, for assessment of how distribution of transfer payment among socio-economic levels. We consider providing social welfare functions two scenarios, first the each socio-economic levels receives amount of transfer payment equal to others, and second the each socio-economic levels receives that with weighted preferences. The four basic functions determine optimal value of how distribution, and then calculate actual value of that by transforming COICOP to ISIC . Finally the difference between optimal and actual values is determined for rural and urban society and for first and second scenario. At the first scenario the difference between optimal and actual value is smaller than second and this difference at rural society is greater than urban society. The other hand the welfare distribution at the former is worse than later.

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This paper presents an AHP and FLP model for the allocation of energy subsidies to different economic sectors. To do so, we defined a group of socio-economic criteria that may affected by the allocation of energy subsidies. These criteria are: economic growth, energy intensity, labor intensity, inflation, social cost of air pollutions and distribution of energy subsidy among socio-economic levels. According to calculated weights, we determined the priority of the above mentioned criteria. Also, according to the optimum overall rank of economic sectors, the commercial sector has the highest rank followed by industrial, agricultural and household and transportation sectors. After determining the final coefficients of AHP approach, we determined the allocation of energy subsidies using linier programming approach. We also considerd the change in technology and consumption patterns of household and transportation sectors. Results show that the share of energy subsidies allocated to commercial and transportation sectors should increase to 30.4 and 28.6 percent respectively.