Intuitionistic Fuzzy Estimation of Uncertainty of a Composition Consisting of Sequential and Parallel Services

A complex composition of two sequential comprise services in service systems is considered. The first comprise service represents two sequential services while the second represents a parallel alternative composition of two services. In previous papers, intuitionistic fuzzy estimations of uncertainty of sequential and parallel composition of two services have been obtained based on a an intuitionistic fuzzy characterization of the traffic in a virtual service device. In the present paper, on the basis of the results obtained for consecutive and parallel alternative composition of services, analytical expressions for the degrees of membership, non-membership and uncertainty of the intuitionistic fuzzy flow characterization of the complex composition consisting of two sequential and two parallel alternative services are derived. The results can be used in the study of the Quality of Service (QoS) of service compositions in the next generation information service networks.