Formalization of SOA concepts with mathematical foundation

With the development of the IT industry, agility and dynamicity are the two expected characteristics for any business enterprise. Service Oriented Architecture (SOA) an emerging and a promising advent aiming at address the current trends/needs of enterprise business applications. The current work aims at giving an overview of the conceptual model of SOA based on set theory approach. Also, it posits mathematical definitions for logical, environment and application service definition with the help of general systems theory and mathematical foundation. The mathematical model, definition and functionality of services enhance SOA principles which can be used efficiently in integrating heterogeneous components.