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In this paper, it is shown that once linear ranking function is chosen, then the fuzzy matrix game (FMG) is converted into crisp one and then it is solved easily by the proposed method. The main aim of this paper is to reduce the computational complexity of the FMG using the ranking function. The applicability and feasibility of the FMG is illustrated with a numerical example. This paper finalises with the conclusion and to include an outlook for future study in this direction.

The paper deals with an instantaneous angular speed (IAS) based algorithm for fault detection in a multistage gearbox. Fast Fourier transform (FFT) is a well established technique for analysis of a stationary signal. However, the IAS signal from the multistage gearbox is a combination of periodic signal and structure borne noise. This structure borne noise makes the IAS signal non stationary. Hence, FFT is no longer suitable for this non stationary signal analysis. Therefore in this paper, the IAS signal is time synchronously averaged with respect to lay shaft speed and then followed by FFT reveals the gear mesh frequency and rotational frequencies which are synchronous with the gearbox’s rotating speed. Thus, the algorithm can accurately and reliably detect the fault in multistage gearbox using the IAS. The paper also investigated the behavior of IAS signal for three different gearboxes (healthy, one tooth and two teeth broken) under two different speeds and three different loading conditions.

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This paper explores the study of multi-choice multi-objective transportation problem (MCMTP) under the environment of utility function approach. MCMTP is converted to multi-objective transportation problems (MOTP) by transforming the multi-choice parameters like cost, demand, and supply to real-valued parameters. A general transformation procedure using binary variables is illustrated to reduce MCMTP into MOTP. Most of the MOTP are solved by goal programming (GP) approach. Using GP, the solution of MOTP may not be satisfied all the time by the decision maker (DM) when the proposed problem contains interval-valued aspiration level. To overcome this difficulty, here we propose the approaches of revised multi-choice goal programming (RMCGP) and utility function into the MOTP and then compared the solution between them. Finally, numerical examples are presented to show the feasibility and usefulness of our paper.

In this article, a prey-predator system with Holling type II functional response for the predator population including prey refuge region has been analyzed. Also a harvesting effort has been considered for the predator population. The density-dependent mortality rate for the prey, predator and super predator has been considered. The equilibria of the proposed system have been determined. Local and global stabilities for the system have been discussed. We have used the analytic approach to derive the global asymptotic stabilities of the system. The maximal predator per capita consumption rate has been considered as a bifurcation parameter to evaluate Hopf bifurcation in the neighborhood of interior equilibrium point. Also, we have used fishing effort to harvest predator population of the system as a control to develop a dynamic framework to investigate the optimal utilization of the resource, sustainability properties of the stock and the resource rent is earned from the resource. Finally, we have presented some numerical simulations to verify the analytic results and the system has been analyzed through graphical illustrations.

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This paper proposes an improved steganography approach for hiding text messages within lossless RGB images. The objective of this work is to increase the security level and to improve the storage capacity while incurring minimal degradation of the image. The security level is increased by distributing the message over the entire image instead of clustering within specific image portions, as also by including a password authentication scheme to ensure that the message can be retrieved only by the intended recipient. Storage capacity is increased by utilizing all the color channels for storing information instead of reserving one of the channels as pixel indicator. Image degradation is minimized by changing only one LSB bit per color channel for hiding the information thereby incurring the least change in the original image. Experimentations done for analyzing the storage capacity and quality degradation, establish the superiority of the proposed approach vis-à-vis contemporary existing approaches.