We investigate the thermodynamics of non-relativistic and relativistic ideal gases on the spacetime with noncommutative fuzzy geometry. We first find that the heat capacities of the non-relativistic ideal boson and fermion on the fuzzy two-sphere have different values, contrast to that on the commutative geometry. We calculate the “statistical interparticle potential” therein and interprete thi...

In the paper, a fuzzy variable structure control with a harmonizing mechanism has been developed and applied to the positioning control of an electro-hydraulic servo system. The simulation experiment results show that the performance by using the controller is better than those by just only using either fuzzy controller or variable structure controller. In addition, it also demonstrates that it...

In this paper, we give definitions for common limit in the range property of mappings and obtain common fixed point theorem for a pair of weakly compatible functions in intuitionistic fuzzy metric space using the joint common limit in the range property of mappings(shortly, (JCLR) property). Our results improve and generalize results of Chauhan et al[1].

It is found that noncommutative U (1) gauge field on the fuzzy sphere S 2 N is equivalent in the quantum theory to a commutative 2−dimensional U (N) gauge field on a lattice with two plaquettes in the axial gauge A 1 = 0. This quantum equivalence holds in the fuzzy sphere-weak coupling phase in the limit of infinite mass of the scalar normal component of the gauge field. The doubling of plaquet...

It is found that noncommutative U (1) gauge field on the fuzzy sphere S 2 N is equivalent in the quantum theory to a commutative 2−dimensional U (N) gauge field on a lattice with two plaquettes in the axial gauge A 1 = 0. This quantum equivalence holds in the fuzzy sphere-weak coupling phase in the limit of infinite mass of the scalar normal component of the gauge field. The doubling of plaquet...

According to the characteristics of the ac motor starting process, design a fuzzy soft start controller, realize constant current of ac motor soft start control. Using fuzzy soft start controller uses the two-dimensional structure, current deviation and deviation change rate as input, Mining Mamdani inference method of fuzzy reasoning. The controller output to the adjustment of the thyristor tr...

Many complicated systems of practical interest consist basically of a well-defined outer shell-like master structure and a complicated internal structure with uncertain dynamic properties. Using the "fuzzy structure theory" for predicting audible frequency vibration, the internal structure is considered as one or more fuzzy substructures that are known in some statistical sense only. Experiment...