A Mathematical Theory of Evidence turns 40

Ambiguity Theory and Asset Pricing: Empirical Evidence from Tehran Stock Exchange

Modern portfolio theory is based on the relationship between risk and return and in this paper, specific uncertainty conditions are introduced as ambiguity which affects the asset pricing. Also, the relationship between risk, ambiguity and return is examined. First, ambiguity is estimated by the means of three-variable and main component method, trading volume, ask-bid spread, error of earnings...

A Note on Belief Structures and S-approximation Spaces

We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempsterchr('39')s multivalued mappings and lower and upper probabilities, and have close relations to rough sets. We show that an S-approximation space, satisfying a monotonicity condition, can induce a natural belief structure which is a fundamental block in evidence theory...

A Reflection on Research, Theory, Evidence-based Practice, and Quality Improvement

Fuzzy relations, Possibility theory, Measures of uncertainty, Mathematical modeling.

A central aim of educational research in the area of mathematical modeling and applications is to recognize the attainment level of students at defined states of the modeling process. In this paper, we introduce principles of fuzzy sets theory and possibility theory to describe the process of mathematical modeling in the classroom. The main stages of the modeling process are represented as fuzz...

belief function and the transferable belief model

Beliefs are the result of uncertainty. Sometimes uncertainty is because of a random process and sometimes the result of lack of information. In the past, the only solution in situations of uncertainty has been the probability theory. But the past few decades, various theories of other variables and systems are put forward for the systems with no adequate and accurate information. One of these a...