Fuzzy regression models has been traditionally considered as a problem of linear programming. The use of quadratic programming allows to overcome the limitations of linear programming as well as to obtain highly adaptable regression approaches. However, we verify the existence of multicollinearity in fuzzy regression and we propose a model based on Ridge regression in order to address this prob...

This paper presents a way of fuzzy inferencing that allows for the resulting judgment to change in time. The aim of the research is to explain the empirical evidence that people’s feelings about a person or a social situation sometimes oscillate between a highly positive value and a highly negative value even in the absence of new data. The proposed method of judgment generation employs the con...

In this paper we study some properties related to the distribution of membership grades for non-stationary fuzzy sets. We obtain the formulation for the distribution, where the non-stationary fuzzy sets are obtained by generating instantiations about the center values. The two cases considered are for the underlying membership functions as Triangular and Gaussian. The analytical results obtaine...

For simplicity, we follow the rules: C denotes a non empty set, c denotes an element of C, f , h, g, h1 denote membership functions of C, A denotes a FuzzySet of C, f , B denotes a FuzzySet of C, g, D denotes a FuzzySet of C, h, D1 denotes a FuzzySet of C, h1, X denotes a Universal FuzzySet of C, and E denotes an Empty FuzzySet of C. We now state four propositions: (1) For every element x of C ...

In this paper, we study a particular type of convex fractional programming problem and its dual under fuzzy environment. We present appropriate duality results for a fuzzy environment using aspiration level approach. This study use linear membership functions to represent fulfillment of the decision maker’s degree of satisfaction.

Reasoning, the most important human brain operation, is characterized by a degree of fuzziness. In the present paper we construct a fuzzy model for the reasoning process giving through the calculation of probabilities and possibilities of all possible individuals’ profiles a quantitative/qualitative view of their behaviour during the above process. In this model the main stages of human reasoni...

In times of globalization, differences between cultures and in the interpretation of linguistic terms can lead to misunderstanding in communication. The present study focuses on the influence of cultural dimensions, especially uncertainty avoidance, on the interpretation of verbal probability expressions. It is hypothesized that uncertainty avoidance has an effect on the interpretation of uncer...

This study proposes design concepts for a comprehensive home financial learning environment that individual investors can use as a reference in establishing web-based learning and investment platforms. This study also introduces a hybrid approach that demonstrates a data mining function of the financial learning environment. Known as Fuzzy BPN, this approach is comprised of backpropagation neur...

We present a series of protocols for authenticating an individual’s membership in a group without revealing that individual’s identity and without restricting how the membership of the group may be changed. In systems using these protocols a single message to the authenticator may be used by an individual to replace her lost key or by a trusted third party to add and remove members of the group...