Convexity theory and duality theory are important issues in math- ematical programming. Within the framework of credibility theory, this paper rst introduces the concept of convex fuzzy variables and some basic criteria. Furthermore, a convexity theorem for fuzzy chance constrained programming is proved by adding some convexity conditions on the objective and constraint functions. Finally,...

in this paper, we consider portfolio selection problem in which security returns are regarded as fuzzy variables rather than random variables. we first introduce a concept of absolute deviation for fuzzy variables and prove some useful properties, which imply that absolute deviation may be used to measure risk well. then we propose two mean-absolute deviation models by defining risk as abs...

convexity theory and duality theory are important issues in math- ematical programming. within the framework of credibility theory, this paper rst introduces the concept of convex fuzzy variables and some basic criteria. furthermore, a convexity theorem for fuzzy chance constrained programming is proved by adding some convexity conditions on the objective and constraint functions. finally,...

Given that ―rule-based analysis is the dominant form of reasoning‖ used by lawyers, it is probably safe to say that most lawyers would agree with Aristotle‘s sentiment. After all, this is how lawyers are taught to think in law school. Three years of their lives are slavishly devoted to the pursuit of logic with little to no emphasis on other forms of reasoning. Therefore, it is not surprising t...

The operational effectiveness of the weapon systems is usually evaluated by the reasonable simulation results. But it is difficult to measure and evaluate the credibility of the simulation data source. An evaluation indices system of the credibility for the simulation data source is built up. A set of quantitative evaluation rules are set up based on the experts’ judgments and the fuzzy express...

Credibility coefficients reflect similarity of objects in respect to other ones in information systems. For decision tables we can use credibility coefficients based on decision rules. Knowledge discovery methods can extract rules from an information system. The knowledge represented by the rules may be not exact due to improper data. Calculation of credibility coefficients is based on an assum...

In a 2 X 2 X 2 design, male high school students received from a high or low credibility source a communication that was either plausible or implausible, and that was given under highor low-ego-involvement conditions. Results indicated greater attitude change in low-ego-involvement-high-sourcecredibility conditions than in the other three combinations of source credibility and ego involvement. ...