Abstract: Unmanned vehicles need to gather the surrounding information comprehensively. Perception of automotive information is one of the important information. In the field of automotive perception, the stereo vision plays a vital role and stere-vision can calculate the length, width, and height, making the object more specific. However, under the existing technology, it is impossible to obtain accurate detection in a complex environment by relying on a single sensor. Therefore, it is particularly important to study the calibration technology based on multi-sensor fusion. This paper proposes a method based on feature point pair matching. Two rectangular planks are used to extract…the 3D point cloud of the edge of the board in stereo vision and LiDAR coordinate systems, which is then used to obtain the corner coordinates. Finally, the Kabsch algorithm is used to solve the coordinate transformation between the paired feature points, and a clustering method is used to remove outliers from the multiple measurements and obtain the average value. By setting up an experiment, this method can be implemented on the Nvidia Jetson Tx2 embedded development board, and accurate registration parameters can be obtained, thus verifying the theoretical method’s feasibility. It finishes calibration of the LiDAR and binocular camera based on present methods. The result shows that, it can reduce the effects of noise, and acquire registration parameters accurately of LiDAR and cameras. Compared with the approved method of the same type, our proposed method has less errors and good practical value.
Show more
Keywords: Target, calibration, 3D LiDAR, binocular camera, unmanned vehicles
Abstract: Based on the extended generalized Hukuhara difference, we introduce and study a new Shapley type of value for cooperative games with fuzzy payoffs. We first propose and characterize a new interval Shapley value for interval-valued cooperative games. Those results are then extended to cooperative games with fuzzy payoffs, and the generalized Shapley function is introduced. We characterize the generalized Shapley function using the properties of generalized efficiency, generalized dummy player, generalized symmetry, and generalized additivity. At the same time, the necessary and sufficient condition for the existence of the generalized Shapley function is given. This study also shows that the…generalized Shapley function is a generalization of the Hukuhara-Shapley function defined by Yu and Zhang [22 ]. Meanwhile, an arbitrary cooperative game with payoffs of center triangular fuzzy numbers has a unique generalized Shapley function.
Show more
Abstract: The least square B-nucleolus for fuzzy cooperative games is proposed based on the bi-excess of fuzzy coalitions. The proposed solutions consider not only the size of fuzzy coalitions, but also the blocking and constructive powers. The uniqueness of the least square B-prenucleolus for fuzzy cooperative games is proved detailedly. Some quadratic programming models for generating the least square B-nucleolus of complete and incomplete fuzzy cooperative games are presented, respectively. The least square B-prenucleolus is extended to the multiplicative setting, and the logarithmic least square B-prenucleolus for multiplicative fuzzy cooperative games is derived.
Keywords: Least square nucleolus, cooperative game, quadratic programming, fuzzy coalition
Abstract: The F -core and the F -balancedness have been introduced for fuzzy interval cooperative games by Mallozzi et al. (2011). It was pointed out that the F -balancedness was a necessary but not sufficient condition for the non-emptiness of the F -core. In this paper, a numerical example is given to show that the F -balancedness can not guarantee the non-emptiness of the F -core. Furthermore, the F -cores of trapezoidal fuzzy interval games are discussed in detail. Some properties of the F -core are obtained and three sufficient conditions for the non-emptiness of the F -core are given. These…conclusions are generalizations of the corresponding results in both interval cooperative game theory and classical cooperative game theory. Lastly, an application example is also provided.
Show more
Abstract: In this study, a new characteristic function with combined weighted form is developed to fuzzy cooperative games based on the BUM functions. By establishing efficiency, symmetry and additivity axioms, a Shapley function with combined weighted form is presented for fuzzy cooperative games. The proposed Shapley function considers not only the weighted average value of the marginal contribution, but also the collective cooperation tendency of players. Moreover, some desirable properties are introduced simultaneously. We show that the Shapley function with combined weighted form belong to fuzzy core when the fuzzy cooperative games is strong convex. Finally, a numerical example is provided…to illustrate the validity of the proposed Shapley function.
Show more
Abstract: In this study, the G-nucleolus of fuzzy cooperative games is proposed based on the G-excess of fuzzy coalitions. The G-nucleolus considers not only the constructive and the blocking powers, but also the size of fuzzy coalitions. Moreover, we show that the G-nucleolus is reasonable, and coincides with the SM-nucleolus when the function f is equal to 1 for each fuzzy coalition. The G-nucleolus can be obtained by calculating the f-nucleolus of a constant-sum fuzzy cooperative game. We prove that G-nucleolus belong to the non-empty precore of the corresponding constant-sum fuzzy cooperative game. Finally, some linear programming models are employed to…generate the G-nucleolus effectively.
Show more
Abstract: The heterogeneity of inflation expectations, especially the residents’ inflation expectations, has a great influence on controlling the actual inflation rate and the effective implementation of my country’s monetary policy. In the process of monetary policy formulation, the monetary authorities need to pay more attention to the heterogeneous expectations among microeconomic individuals. This paper introduces the genetic algorithm, a new artificial intelligence method, to analyze the demand for the heterogeneity of inflation expectations and explains the basic steps to use it and how to apply it to explain problems in economics. Moreover, this paper uses a genetic algorithm-based generation overlap model…to simulate the dynamic evolution of inflation heterogeneity among residents and the equilibrium selection process of price levels in a wide search space. The results of the simulation experiment show that it is of practical significance to use genetic algorithms to simulate the dynamic process of the heterogeneity of residents’ inflation expectations.
Show more
Keywords: Genetic algorithm, inflation, simulation experiment, data mining, heterogeneity
Abstract: In this paper, we introduce the concept of continuous balanced almost-convex cooperative fuzzy game, and prove its bargaining set coincides with its Aubin core, which extends a result by Getán et al. for classical cooperative games to cooperative fuzzy games.
Keywords: Core, Bargaining set, Almost-convex fuzzy game, Convex fuzzy game
Abstract: This paper studies cooperative games in which players have multiple attributes. Such games are applicable to situations in which each player has a finite number of independent additive attributes in cooperative games and the payoffs of coalitions are endogenous functions of these attributes. The additive attributes cooperative game, which is a special case of the multiattribute cooperative game, is studied with respect to the core, the conditions for existence and boundedness and methods of transformation regarding a general cooperative game. A coalitional polynomial form is also proposed to discuss the structure of coalition. Moreover, a Shapley-like solution called the efficient…resource (ER) solution for additive attributes cooperative games is studied via the axiomatical method, and the ER solution of two additive attribute games with equivalent total resources coincides with the Shapley value. Finally, some examples of additive attribute games are given.
Show more
Abstract: In this paper, a new class of games with fuzzy coalitions and fuzzy payoff value is proposed. This class of fuzzy games is based on the generalized integral form, which contains several kinds of other fuzzy games, such as fuzzy cooperative game with fuzzy payoff value, the multilinear extension game introduced by Owen, the game with proportional value proposed by Butnariu and the game with Choquet integral form given by Tsurumi et al. Also, the proposed fuzzy game is also further extension of the fuzzy game in Choquet integral form proposed by Yu et al., which is also is a…kind of fuzzy games in the condition that coalition and fuzzy payoff value are both fuzzy information. The fuzzy Shapley value for this kind of fuzzy games is represented by Shapley value of corresponding fuzzy cooperative game with fuzzy payoff value. Based on Hukuhara-difference, we give the explicit Shapley value for the proposed fuzzy game. It has been seen that most of properties hold well in the proposed fuzzy game, which are processed by cooperation game with fuzzy payoff value, and fuzzy coalition game, respectively. Finally, a practical application of the proposed model is also provided.
Show more
Keywords: Cooperative game, fuzzy, coalition, payoff value, shapley value