Complete recalculation - this means whenever reputation is required, it is being recalculated from the very beginning of the DT interval. This may assure high precision of reputation calculation however it may be too expensive for DT values spanning over large time intervals.

Periodic recalculation - this means recalculation happens only periodically, once per T period, eg. on hourly, daily, weekly or monthly basis, the values are cached and used during the period. This may assure high precision of reputation calculation and would be cheaper than complete recalculation but reputations might be not that precise closer to the end of the T period and it still may be expensive in case of large DT period.

Periodic update - this means persistent reputation data is updated incrementally, periodically once per T period, eg. on hourly, daily, weekly or monthly basis, the values are cached and used during the period. This may be cheaper than anything else yet lead to less precision of reputation calculation and might be not that precise closer to the end of the T period as well.

Transactional update - that means persistent reputations are updated incrementally on any blockchain transaction. This may not precise as complete recalculation yet it would assure reputations are up to date at any point of time. Still, this might be making blockchain transactions a bit more expensive and take a bit longer.

can we perform these action in smart contract on Eth blockchain ?