In this paper, we derive new neuro-fuzzy structures called flexible neuro-fuzzy inference systems or FLEXNFIS. Based on the input-output data, we learn not only the parameters of the membership functions but also the type of the systems (Mamdani or logical). Moreover, we introduce: 1) softness to fuzzy implication operators, to aggregation of rules and to connectives of antecedents; 2) certaint...

aggregation rules Frederik Herzberg and Daniel Eckert IMW · Bielefeld University

We study the topological properties of aggregation maps combining individuals’ preferences over n alternatives, with preference expressed by a real-valued, n-dimensional utility vector u defined on an interval scale. Since any such utility vector is specified only up to arbitrary affine transformations, the space of utility vectors R may be partitioned into equivalence classes of the form fauþ ...

One of the better studied properties for operators in judgment aggregation is independence, which essentially dictates that the collective judgment on one issue should not depend on the individual judgments given on some other issue(s) in the same agenda. Independence, although considered a desirable property, is too strong, because together with mild additional conditions it implies dictatorsh...

Statistical mechanics has proven to be able to capture the fundamental rules underlying phenomena of social aggregation and opinion dynamics, well studied in disciplines like sociology and psychology. This approach is based on the underlying paradigm that the interesting dynamics of multi-agent systems emerge from the correct definition of few parameters governing the evolution of each individu...

The continual launches of new online social media that meet the most varied people’s needs are resulting in a simultaneous adoption of different social platforms. As a consequence people are pushed to handle their identity across multiple platforms. However, due the to specialization of the services, people’s identity and behavior are often partial, incomplete and scattered in different “places...

This paper deals with the group decision making problem, assuming that each individual defines his/her opinion through fuzzy binary preference relations, in parallel to the classical approach due to Prof. Arrow. In particular, it is postulated that the main reason for the discouraging impossibility theorems is neither in the domain of admissible preferences or in the concept of solution (Social...

Process view technology is catching more attentions in modern business process management, as it enables the customisation of business process representation. This capability helps improve the privacy protection, authority control, flexible display, etc., in business process modelling. One of approaches to generate process views is to allow users to construct an aggregate on their underlying pr...