Fog　computing　accredits　by　utilizing　the　network　edge　while　still　rendering　the　possibility　to　interact　with　the　cloud.　Nevertheless,　the　features　of　fog　computing　are　encountering　several　security　challenges.　The　security　of　end　users　and/or　fog　servers　brings　a　significant　dilemma　in　implementing　fog　computing.　The　computational　power　of　the　resources　constrains　Internet　of　Things　(IoT)　devices　in　the　fog-computing　environment.　Therefore,　an　attacker　can　easily　attack.　The　traditional　methods　like　attribute-based　encryption　(ABE)　techniques　are　inappropriate　for　resource-constraint　devices　with　protracted　computing　and　limited　computational　capabilities.　In　this　regard,　we　investigate　a　multiauthority　ciphertext　policy-attribute-based　encryption　(MA-CP-ABE)　method　that　enables　multiauthority　attribute　revocation　and　computation　outsourcing.　Moreover,　the　encryption　and　decryption　processes　of　resource-constraint　IoT　devices　are　outsourced　to　the　fog　nodes.　In　this　way,　it　also　reduces　the　computational　burden　of　the　resource-constraint　IoT　devices.　Hence,　we　propose　MA-CP-ABE　for　encryption　and　decryption,　attribute　revocation　and　outsourcing　by　reducing　the　computational　burden　and　securing　the　system.　We　compare　the　computational　offloading　approach　with　the　existing　techniques　to　prove　that　the　proposed　approach　outperforms　the　existing　approaches.　The　proposed　method　reduces　the　operation　time　for　the　encryption　and　decryption　process.　We　outsource　cryptography　operations　to　the　fog　node,　reducing　the　end　user＇s　computational　cost.　Eventually,　simulated　outcomes　are　used　to　assess　the　algorithm＇s　computational　cost.