A study on neutrosophic soft set and neutrosophic hypersoft set by Hema Rengaswamy, Rajeshwari Subramani, Florentin Smarandache

“…The laws examined in this paper for NSS include Commutative law, Associative law, Distributive law, Involution law, Idempotent law, and Negation law (law of contradiction and law of excluded middle). …”
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Stability analysis of commutative quaternion valued neural network with time varying delays by Dongyuan LIN, Xiaofeng CHEN, Wentao SUN, Weikai LI, Yannan XIA

“…Because the traditional quaternion multiplication does not meet the commutative law,a kind of commutative quaternion was introduced,and a commutative quaternion valued neural network (CQVNN) was established,and the asymptotic stability of the CQVNN was studied.In the course of research,the CQVNN were decomposed into four real-valued neural networks.Then,through the topological degree theory,the traditional Lyapunov stability theory and the inequality theory,the conditions for the existence and uniqueness of the equilibrium point of CQVNN and the linear matrix inequality (LMI) conditions for the asymptotically stable of equilibrium point were obtained.Finally,a numerical example was given to verify the validity of the conclusion.…”
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