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Weaving frames have potential applications in wireless sensor networks that require distributed processing of signals under different frames. In this paper, we study some new properties of weaving generalized frames (or g-frames) and weaving generalized orthonormal bases (or g-orthonormal bases). It is shown that a g-frame and its dual g-frame are woven. The inter-relation of optimal g-frame bounds and optimal universal g-frame bounds is studied. Further, we present a characterization of weaving g-frames. Illustrations are given to show the difference in properties of weaving generalized Riesz bases and weaving Riesz bases.

Reliability allocation has a great importance in the early design stage of a system. The result of this allocation directly affects the product's quality and robustness of the system. There are several reliability allocation techniques to allocate the target reliability. But these methods have several shortcomings. To overcome these shortcomings, a new allocation method considering future limiters depending upon the concept of prospective multi-attribute decision making (PMADM) has been proposed here. Also the fuzzy linguistic term sets, minimal variance OWGA weights and experts degree of orness have been combined to perform a more practical reliability allocation. Ultimately to recognise the nonlinear phenomenon for reliability and the element's potential for improvement, the proposed method takes an initiative to improve the initial target reliability using reliability growth effort function. An example of transceiver system is considered here to illustrate the efficiency and flexibility of the proposed approach to allocate the system reliability.

In this paper, multi objective generalised assignment problem (MOGAP) with fuzzy parameters has been solved using three different approaches. Here, we consider three objective functions which are to be minimised. In the first approach, weighted sum method has been used and the problem is converted into a single objective one and then solved by extremum difference method (EDM) to get the optimal assignment. In the second one, modified fuzzy programming technique (MFPT) has been used for the same problem. Application of linear and exponential membership functions give comparative results with the goal that the better alternative can be obtained. The third one describes multi objective genetic algorithm (MOGA) to find the solution surface and the Pareto optimal front including the optimal assignment. The methods are demonstrated by a suitable numerical example.