Optimal control theory is an important branch of modern control theory which has been widely applied in various sciences. Uncertain optimal control is a theory dealing with optimal control problems which are based a new uncertainty theory and differs from the stochastic optimal control based on probability theory and fuzzy optimal control based on fuzzy set theory or credibility theory. As the ...

In reliability, quality control and risk analysis, fuzzy methodologies are more and more involved and inevitably introduced difficulties in seeking fuzzy functional relationship between factors. In this paper, we propose a scalar variable formation of fuzzy regression model based on the credibility measure theoretical foundation. It is expecting our scalar variable treatments on fuzzy regressio...

Credibility is an old yet modern topic. It has a particular significance in the current trend of market economy. However, China is facing a serious crisis of credibility nowadays. This paper proposes the suggestion of building credibility system in China from legal perspective.

Based on credibility theory and two-stage fuzzy optimization method, this paper presents a type of multi-product multi-period (MPMP) production planning model. Since the proposed production planning problem includes fuzzy variable coefficients with an infinite support, it is infinite-dimensional optimization problem. The approximation of the production planning problem is discussed, and the con...

Typically, complex systems such as socio-ecological systems are ambiguous and ill-defined due to human-environment interactions. These systems could be participatory systems which involve many participants with different levels of knowledge and experience. The various perceptions of the participants may need to be combined to get a comprehensive understanding and useful knowledge of the system....

The credibility of website is a sort of psychological feeling, in other words, a sense of trust and its intensity towards the enterprise’s website produced by the customers from individual or collective perspective. The credibility of website has become a decisive factor for the website’s survival and an important driving force of promotion and market expansion. Currently, the credibility of we...

In response to changeful financial markets and investor’s capital, we discuss a portfolio adjusting problem with additional risk assets and a riskless asset based on credibility theory. We propose two credibilistic mean–variance portfolio adjusting models with general fuzzy returns, which take lending, borrowing, transaction cost, additional risk assets and capital into consideration in portfol...

Linguistic terms are often used to represent the truth degree or credibility degree to manage the uncertainty or imprecision as one of popular ways of knowledge representation in the perception-based decision making problem. This present work represents the credibility of uncertain knowledge using linguistic values. The linguistic-valued credibility is then modeled based on a lattice ordered lo...

The malicious usage of the cloud platform, untrusted providers, and untrusted perception from the users all contribute to the difficult application of the cloud services. In order to solve these issues, a trust evaluation method of the cloud service based on user perception is proposed. Based on fuzzy set theory, the behaviors of nodes in the cloud platform are quantitated, and the trust values...

The multi-sensor data fusion technique plays a significant role in fault diagnosis and in a variety of such applications, and the Dempster-Shafer evidence theory is employed to improve the system performance; whereas, it may generate a counter-intuitive result when the pieces of evidence highly conflict with each other. To handle this problem, a novel multi-sensor data fusion approach on the ba...