Abstract. The realization of high-end mobile applications, such as virtual organization (VO), are becoming reality due to the enhanced wireless communication bandwidth, reliability and services offered by WWW. However, the general-purpose operating systems are not completely capable to handle the challenges of mobile computing paradigm. The novel concept of mobile distributed virtual memory (MDVM) extends the server CPU and memory resources to the mobile clients over the mobile communication interface in the VO framework. In this paper, the architecture and associated model of MDVM system are described.

The QoS-aware delivery model of multimedia is an interesting research area. The wireless networking systems connecting mobile clients and media servers have created the paradigm of mobile multimedia. In mobile multimedia systems, the media delivery model has to maintain two diagonally opposite objectives, such as maintaining QoS of playback and saving energy consumption of the mobile devices. The traditional pull, push, and the hybrid push-pull models of media delivery are not completely suitable to offer consistent QoS of playback while saving the energy consumptions at mobile devices. This article proposes a novel multimedia delivery system based on the Fuzzy Adaptive Buffering (FAB) algorithm using pull model. The FAB algorithm employs a fuzzy inference technique and dynamically adapts to the execution environments. The experimental results illustrate that the FAB algorithm successfully adapts to dynamic execution contexts while maintaining playback-QoS and saving the energy consumption of the mobile clients by keeping the data prefetching thread in the sleeping mode from 31.44% to 97.4% of streaming time depending on the execution environments.

The computational applications of fuzzy sets are pervasive in systems with inherent uncertainties and multivalued logic-based approximations. The existing fuzzy analytic measures are based on regularity variations and the construction of fuzzy topological spaces. This paper proposes an analysis of the general fuzzy measures in n-dimensional topological spaces with monoid embeddings. The embedded monoids are topologically distributed in the measure space. The analytic properties of compactness and homeomorphic, as well as isomorphic maps between spaces, are presented. The computational evaluations are carried out with n = 1, considering a set of translation functions with different symmetry profiles. The results illustrate the dynamics of finite fuzzy measure in a monoid topological subspace.

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In general, the group decompositions are formulated by employing automorphisms and semidirect products to determine continuity and compactification properties. This paper proposes a set of constructions of novel topological decompositions of groups and analyzes the behaviour of group actions under the topological decompositions. The proposed topological decompositions arise in two varieties, such as decomposition based on topological fibers without projections and decomposition in the presence of translated projections in topological spaces. The first variety of decomposition introduces the concepts of topological fibers, locality of group operation and the partitioned local homeomorphism resulting in formulation of transitions and symmetric surjection within the topologically decomposed groups. The reformation of kernel under decomposed homeomorphism and the stability of group action with the existence of a fixed point are analyzed. The first variety of decomposition does not require commutativity maintaining generality. The second variety of projective topological decomposition is formulated considering commutative as well as noncommutative projections in spaces. The effects of finite translations of topologically decomposed groups under projections are analyzed. Moreover, the embedding of a decomposed group in normal topological spaces is formulated in this paper. It is shown that Schoenflies homeomorphic embeddings preserve group homeomorphism in the decomposed embeddings within normal topological spaces. This paper illustrates that decomposed group embedding in normal topological spaces is separable. The applications aspects as well as parametric comparison of group decompositions based on topology, direct product and semidirect product are included in the paper.