In this paper, a fully fuzzy linear system is solved by partitioning the coefficient matrix into sub matrices with trapezoidal fuzzy number matrices. The method is illustrated with numerical examples.
General TermsFuzzy Linear Systems.
In this paper, we present some new sufficient conditions for the oscillations of all solutions of a second order retarded differential equations with impulses.These results extend the known results for the differential equations without impulses.An example is provided to illustrate our result. (2010): 34C10, 34A37.
Mathematics subject classification
Interference is one of the major degrading factors of mobile ad hoc networks (MANET). Since, MANET transmits over the single wireless channel; packets of the same flow interfere with each other greatly. This mutual interference causes the bottleneck over the network. Further, predicting interference accurately around a transmitter or receiver is a complicated task. As a solution to these problems, in this paper, we propose an interference reduction technique for MANET using mathematical prediction filters. The technique used Hidden Markov Model (HMM) for predicting the interference of the nodes. Initial transmission power is set by comparing received signal power with minimum and maximum values. During data transmission, RTS and CTS messages are exchanged using initial transmission power level and they include interference value of the source and destination respectively. The source then uses the interference value of the destination to transmit data packet. On the other hand, the destination uses the interference value of the source for transmitting the acknowledgement (ACK) packet to the source. Thus, this interference calculation at both ends reduces the interference. By simulation, we show that our technique reduces the interference considerably.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.