In this article λ-method of Mitrinović-Vasić [1] is applied to improve the upper bound for the arc sin function of L. Zhu [4]. 1. Inequalities of Shafer-Fink’s type D. S. Mitrinović in [1] considered the lower bound of the arc sin function, which belongs to R. E. Shafer. Namely, the following statement is true. Theorem 1.1 For 0 ≤ x ≤ 1 the following inequalities are true: 3x 2 + √ 1− x2 ≤ 6( √...

An approach is presented to multi-expert’s opinions combination based on the Dempster-Shafer evidence theory. In the method, we use multi-expert’s knowledge as evidence, the possible value of weight as frame of discernment, expert’s evaluation to a weight on frame of discernment as basic probability assignment, and use D-S rule combining to give fusion basic probability assignment m. Finally, t...

BACKGROUND The currently available pharmacokinetic models for fentanyl were derived from normal weight patients and were not scaled to body weight. Their application to obese patients may cause overprediction of the plasma concentration of fentanyl. This study examined the influence of body weight on the predictive accuracy of two models (Anesthesiology 1990; 73:1091-102 and J Pharmacol Exp The...

The factors influencing dam safety are complex and their impact on dam safety is fuzzy and uncertain. With the introduction of the Dempster-Shafer theory, BP neural network and Jousselme distance function into dam safety monitoring, a new method for dam safety evaluation is explored. Firstly, the basic probability assignment of the factors influencing dam safety is determined by BP neural netwo...

In real applications, how to measure the uncertain degree of sensor reports before applying sensor data fusion is a big challenge. In this paper, in the frame of Dempster-Shafer evidence theory, a weighted belief entropy based on Deng entropy is proposed to quantify the uncertainty of uncertain information. The weight of the proposed belief entropy is based on the relative scale of a propositio...

It is critical to build an effective prediction model to improve the accuracy of financial distress prediction. Some existing literatures have demonstrated that single classifier has limitations and combination of multiple prediction methods has advantages in financial distress prediction. In this paper, we extend the research of multiple predictions to integrate with rough set and Dempster–Sha...

Stochastic Multicriteria Acceptability Analysis (SMAA) is a family of methods to aid decision makers (DMs) in discrete decision making problems. SMAA methods are capable of handling preference information of various types. The imprecise preferences of multiple DMs can for example be represented by a joint probability distribution for criteria weights. Dempster-Shafer theory with Analytic Hierar...

Dempster-Shafer theory is one of the main tools for reasoning about data obtained from multiple sources, subject to uncertain information. In this work abstract algebraic properties of the Dempster-Shafer set of mass assignments are investigated and compared with the properties of the Bayes set of probabilities. The Bayes set is a special case of the Dempster-Shafer set, where all non-singleton...

Background: Determining the rank of important parameters in ranking health care and providing health services to patients in medical centers. Methods: The research method is descriptive-analytical and applied in terms of classification. The data is from the database of the Faculty of Health and Medicine of the University of Tehran, which was collected as an archive from April 1998 to May 1999....

In this paper, we give some sharper refinements and generalizations of inequalities related to Shafer-Fink's inequality for the inverse sine function stated in Theorems 1, 2, and 3 of Bercu (Math. Probl. Eng. 2017: Article ID 9237932, 2017).