A new approach based on cuckoo search algorithm is presented to solve numerical integration problem. Cuckoo search algorithm is used to optimize the node points on the integral range in order to get a more precise result. This method can not only compute usual definite for any functions, but also calculate singular integral and oscillatory integral. The simulation results show that the cuckoo search algorithm for solving numerical integration has higher precision.
Keywords-Cuckoo search algorithm; definite integral; numerical integration; inequality point segmentation978-1-4799-8730-6/15/$31.00
Abstract. A cyclic fuzzy finite state machine is a fuzzy finite state machine which is generated by a state. In this paper, we study products of cyclic fuzzy finite state machine. We prove that two cyclic finite state machines are cyclic when the full direct product(or restricted direct product, or cascade product, or wreath product) of them is cyclic. However, products of two cyclic fuzzy finite state machines are not necessarily cyclic. We introduce the concept of strong cyclic fuzzy finite state machine, and prove that products(including full direct product, restricted direct product, cascade product and wreath product ) of two strong cyclic fuzzy finite state machines are strong cyclic.
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