In order to compensate for the growing demand for quality of service (QoS) requirements, the cognitive radio sensor network (CRSN) is being adopted. View full-textĭue to intelligent communication, smart grids have been further developed compared to traditional power grids.

An adaptive discretization strategy is presented, which will suitably discretize the concerned domain while ensuring that both global and local level errors are kept within the prescribed limit. It is also found that only an increase in the number of terms in the expansion or number of elements alone does not provide an accurate representation of the random field. However, an increase in the number of elements and/or inclusion of more terms leads to an increase in computational cost. An accurate discretization can be achieved by considering a fine mesh along with a large number of terms. Truncated Karhunen–Loève (KL) expansion is one of the popular methods for the discretization of a random field. continuous parameter random field to a set of random variables. While the probabilistic analyses are generally carried out considering random variable models of physical parameters, a spatially varying random field model is more realistic. With the increase in computational facilities, interest in probabilistic analysis of engineering structures are observed to grow for a realistic assessment of physical systems. The algorithm is applied to classify the merchants on the website of, so that the results can be provided to customers to help them make decisions. In order to fuse the different formats of information and get valuable results from it, the K-medoids algorithm for the probabilistic-based expressions is developed.

Besides, for the probabilistic hesitant fuzzy sets, three novel distance measures are proposed, i.e., the minimal distance, the central distance, and the improved distance, which are useful tools to measure the difference between the probabilistic hesitant fuzzy elements. In this paper, we deeply investigate the relationships among these three probabilistic-based expressions and introduce two transformation functions for them in order to make the information formats unified. probabilistic hesitant fuzzy sets, the probabilistic linguistic term sets and the probabilistic interval preference ordering sets. In this situation, people tend to provide their preferences or evaluations through multiple information expression formats, such as the. Nowadays, the decision environment is becoming more and more complicated due to the development of society and science, and people receiving different types of information every day and gradually form their unique cognitions and knowledge backgrounds.

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