Publications

Statistical learning theory is regarded as an appropriate theory to deal with learning problems on small samples, and it has now become a novel research interest of the machine learning field. However, the theory is based on real-valued random samples and established on probability measure space; it rarely deals with learning problems based on fuzzy random samples and established on Sugeno measure space. It is well known that fuzzy random samples and Sugeno measure space are interesting and important extensions of real-valued random samples and probability measure space, respectively. Therefore, the statistical learning theory based on fuzzy random samples in Sugeno measure space is further discussed in this paper. Firstly, based on definitions of the distribution function and the expected value of fuzzy random variables in Sugeno measure space, the Hoeffding inequality of fuzzy random variables is proved. Secondly, for the sake of completeness of the paper, the key theorem of learning theory based on fuzzy random samples in Sugeno measure space is introduced. Finally, the bounds on the rate of uniform convergence of a learning process based on fuzzy random samples in Sugeno measure space are constructed.

The paper provides a unified view of computational intelligence in the context of software engineering. Technologies such as fuzzy sets, neural and evolutionary computing useful in software development are considered. The links between software engineering and computational intelligence are identified. An illustration is given in terms of a fuzzy software quality model.

Class imbalance in data poses challenges for classifier learning, drawing increased attention in data mining and machine learning. The occurrence of class overlap in real-world data exacerbates the learning difficulty. In this paper, a novel pseudo oversampling method (POM) is proposed to learn imbalanced and overlapping data. It is motivated by the point that overlapping samples from different classes share the same distribution space, and therefore information underlying in majority (negative) overlapping samples can be extracted and used to generate additional positive samples. A fuzzy logic-based membership function is defined to assess negative overlaps using both local and global information. Subsequently, the identified negative overlapping samples are shifted into the positive sample region by a transformation matrix, centered around the positive samples. POM outperforms 15 methods across 14 datasets, displaying superior performance in terms of metrics of <i>G<sub>m</sub></i>, <I>F</I><sub>1</sub> and <I>AUC</I>.

The principal difference between classical sets and fuzzy sets is described and the motivation for introducing fuzzy sets is discussed. Basic concepts of classical set theory and fuzzy set theory are introduced and compared. The connection between fuzzy set theory and fuzzy logic is discussed and basic components of fuzzy logic are introduced. A brief overview of the history of fuzzy set theory is presented.

As a useful information representation tool, hesitant fuzzy linguistic term set (HFLTS) allows decision makers (DMs) to express their cognitive preferences in terms of several ordered and continuous linguistic terms. Considering the fact that much valuable information related to the cognitive behavior of DMs is hidden in the original evaluation information, this paper studies how to comprehensively mine uncertain information from original hesitant fuzzy linguistic evaluation information given by DMs. To address this objective, we present a new representation tool, normal wiggly hesitant fuzzy linguistic term set (NWHFLTS), which not only retains the original evaluation information, but also delivers and quantifies potential uncertain information, and can also help DMs express their evaluation information in a more complete manner. First, we develop the basic operations, score function, and comparison rule of NWHFLTS based on linguistic scale functions (LSFs), and propose the projection measure, the normal projection measure, and the normalized projection-based distance measure to describe the degree of deviation between two NWHFLTSs. Furthermore, for the case when the attribute weight is completely unknown, we combine the multiattributive border approximation area comparison (MABAC) method and develop a new method called as normal wiggly hesitant fuzzy linguistic projection-based MABAC to solve the multiattribute decision-making problems where attribute values are expressed in the form of NWHFLTS. Finally, through a practical example of marine ecological security situation, the specific calculation steps of this method are exemplified, the feasibility and advancement of the proposed method are demonstrated via a comprehensive comparative study.