Cognitive　radio　networks　(CRNs)　promise　to　accommodate　billions　of　Internet　of　Things　(IoT)　devices　within　scarce　spectrum　by　allowing　secondary　users　(SUs)　to　use　licensed　spectrum.　However,　the　devices　need　uninterruptible　communication,　which　the　conventional　CRNs　cannot　fulfill.　This　necessitates　successful　service　completion　probability　(SSCP)　enhancement　in　CRNs.　Further,　maintaining　fairness　among　SUs,　in　terms　of　availing　network　services,　is　a　matter　of　consideration　for　ensuring　the　network　services　to　be　fairly　available　to　all　SUs.　In　this　paper,　we　propose　a　hybrid　CRN　(HCRN)　scheme　to　analyze　two　problems.　Firstly,　we　investigate　SSCP　enhancement　by　utilizing　hybrid　underlay-interweave　mode　of　CRNs　and　propose　a　dynamic　channel　reservation　algorithm　to　support　interrupted　users.　Secondly,　we　propose　a　multi-attributes　based　fairness-driven　channel　determination　(MFD)　algorithm　for　channel　interruption,　which　ensures　fairness　among　SUs　in　availing　network　services.　Furthermore,　continuous-time　Markov　chain　is　used　for　modelling,　and　mathematical　formulations　are　derived　for　SSCP.　The　proposed　scheme　is　evaluated　under　various　network　traffic　loads　and　channel　failure　rates.　Numerical　results　show　significant　improvement　in　SSCP　and　reduction　in　forced　termination　rate　as　compared　to　the　benchmark.　Similarly,　the　MFD　algorithm　brings　a　prominent　improvement　in　fairness.　©　2020　IEEE.