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How to quantify the uncertainty information consisted in the body of evidence (BOE) in the framework of Dempster-Shafer evidence theory is still an open issue. A few uncertainty measures have been proposed in Dempster-Shafer evidence theory framework, but these studies mainly focused on the mass function itself and the scale of the frame of discernment (FOD) is totally ignored. Since the existing...
The large, publicly accessible online product reviews have become a significant information resource for enterprise to discover preferences of the public and market trend. In this paper, we propose the text mining driven information gain model for identifying notable product features to enable enterprise understand what product features determine the customers' satisfaction about the given products...
Risk evaluating and ranking model of notched blasting flyrock in the tall and big chimney blasting demolition project based on unascertained measure theory was built up. Considering the eleven factors of chimney blasting flyrock, the unascertained measure function of influenced factors was established according to the measured data and engineering experience. The model was separately analyzed in the...
Similarity measures are essential to solve many pattern recognition problems such as classification, clustering, and retrieval problems. Various similarity measures are categorized in both syntactic and semantic relationships. In this paper we present a novel similarity, Unilateral Weighted Jaccard Coefficient (uwJaccard), which takes into consideration not only the space among two points but also...
Uncertainty measures in the theory of belief functions are important for the uncertainty representation and reasoning. Many measures of uncertainty in the theory of belief functions have been introduced. The degree of discord (or conflict) inside a body of evidence is an important index for measuring uncertainty degree. Recently, distance of evidence is used to define a contradiction measure for quantifying...
Measures of cumulative residual entropy (CRE) and cumulative entropy (CE) about predictability of failure time of a system have been introduced in [8, 4] respectively. In this paper, we propose the weighted forms of CRE and CE. These information-theoretic uncertainty measures are shift-dependent. We study various properties of these measures, including their connections with CRE and CE and weighted...
In the theory of belief functions, many measures of uncertainty have been introduced. However, it is not always easy to understand what these measures really try to represent. In this paper, we re-interpret some measures of uncertainty in the theory of belief functions. We present some interests and drawbacks of the existing measures. On these observations, we introduce a measure of contradiction...
An entropy method for the fuzzy information is proposed, which carries on the optimal appraisal to many reasonable proposals under the circumstances of only with fuzzy judgment matrix and without expert weight, through the fuzzy appraisal matrix's entropy as well as the triangular fuzzy numbers and closeness degree from the comment object to the ideal point. Simultaneously, in view of the applicable...
Information superiority is considered a critical capability for future joint forces. Sensor allocation and information processing are critical to achieving this information superiority but the value of information is difficult to assess. We develop a weighted entropy measure for sensor allocation within simulations by using the Dynamic Model of Situated Cognition as a framework in which to view the...
With the exposure of serious problems in a series of enterprise groups such as Lantian Group, Yinguangxia Group, Delong and Nanhai huaguang Group, the credit risks stand out for those commercial banks, which provide loans to these enterprise groups. Enterprise groups have complicated of organizational structure and concealed internal transactions, which mean that enterprise groups are grey systems...
In this paper, detailed study has been made on the given clustering results. It defines whitenization weight functions and establishes grey measure of clustering for evaluating 2-tuple linguistic information. Such method is more effective in giving decision-makers more reliable information when they make correct decisions.
The risk of maritime traffic is an issue to express the uncertain information. In order to assess the risk of traffic environment at port, the theories and methods of unascertained mathematics were introduced. Considering the unascertained characteristics of traffic environment at port, the weight of risk system coefficients was determined and an unascertained quantitative model was established for...
According to the different proportion of unknown and uncertain information to the entropy, the present measurements for vague set were divided into three groups. Tow new measurements were proposed according to the proportion as well. Finally A weighted measure of entropy for vague set was introduced. Several data and examples were used to test the measurements above, which demonstrates the different...
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