Comparison of specificity and information for fuzzy domains

This paper demonstrates how an integrated theory can be built on the foundation of possibility theory. Information and uncertainty were considered in 'fuzzy' literature since 1982. Our departing point is the model proposed by Klir for the discrete case. It was elaborated axiomatically by Ramer, who also introduced the continuous model. Specificity as a numerical function was considered mostly within Dempster-Shafer evidence theory. An explicity definition was given first by Yager, who has also introduced it in the context of possibility theory. Axiomatic approach and the continuous model have been developed very recently by Ramer and Yager. They also establish a close analytical correspondence between specificity and information. In literature to date, specificity and uncertainty are defined only for the discrete finite domains, with a sole exception. Our presentation removes these limitations. We define specificity measures for arbitrary measurable domains

Towards autonomous fuzzy control

The efficient implementation of on-line adaptation in real time is an important research problem in fuzzy control. The goal is to develop autonomous self-organizing controllers employing system-independent control meta-knowledge which enables them to adjust their control policies depending on the systems they control and the environments in which they operate. An autonomous fuzzy controller would continuously observe system behavior while implementing its control actions and would use the outcomes of these actions to refine its control policy. It could be designed to lie dormant when its control actions give rise to adequate performance characteristics but could rapidly and autonomously initiate real-time adaptation whenever its performance degrades. Such an autonomous fuzzy controller would have immense practical value. It could accommodate individual variations in system characteristics and also compensate for degradations in system characteristics caused by wear and tear. It could also potentially deal with black-box systems and control scenarios. On-going research in autonomous fuzzy control is reported. The ultimate research objective is to develop robust and relatively inexpensive autonomous fuzzy control hardware suitable for use in real time environments

Maximum entropy approach to fuzzy control

For the same expert knowledge, if one uses different &- and V-operations in a fuzzy control methodology, one ends up with different control strategies. Each choice of these operations restricts the set of possible control strategies. Since a wrong choice can lead to a low quality control, it is reasonable to try to loose as few possibilities as possible. This idea is formalized and it is shown that it leads to the choice of min(a + b,1) for V and min(a,b) for &. This choice was tried on NASA Shuttle simulator; it leads to a maximally stable control

Small Deletions of SATB2 Cause Some of the Clinical Features of the 2q33.1 Microdeletion Syndrome

Recurrent deletions of 2q32q33 have recently been reported as a new microdeletion syndrome. Clinical features of this syndrome include severe mental retardation, growth retardation, dysmorphic features, thin and sparse hair, feeding difficulties and cleft or high palate. The commonly deleted region contains at least seven genes. Haploinsufficiency of one of these genes, SATB2, a DNA-binding protein that regulates gene expression, has been implicated as causative in the cleft or high palate of individuals with 2q32q33 microdeletion syndrome. In this study we describe three individuals with smaller microdeletions of this region, within 2q33.1. The deletions ranged in size from 173.1 kb to 185.2 kb and spanned part of SATB2. Review of clinical records showed similar clinical features among these individuals, including severe developmental delay and tooth abnormalities. Two of the individuals had behavioral problems. Only one of the subjects presented here had a cleft palate, suggesting reduced penetrance for this feature. Our results suggest that deletion of SATB2 is responsible for several of the clinical features associated with 2q32q33 microdeletion syndrome

Quantum Rationality and Conditioning

Recently initiated research on use of quantum probability and logic in rational decision analysis is outlined. It will provide certain explanatory and computational mechanisms for dealing with paradoxes of rationality. Further, it will offer a natural framework for construction and interpretation of conditional objects. Short summaries of main techniques follow. 1 Overview Elementary quantum theory combines elements of physics with generalized probability and logic [15]. This generalization expressly permits noncommutativity in probabilistic operations. The model uses the formalism of self-adjoint (Hermitian) operators on Hilbert spaces over complex numbers [14]. Being founded on various concepts of functional analysis, it has natural algebraic and analytic structures; the most important is a C -algebra of events. Restricting probability values to 0 or 1 leads to quantum logic, with an algebraic structure of the lattice of closed subspaces of a Hilbert space. Quantum probability a..

Formal versus informal legislative bargaining

First published online: 25 January 2016We study how the formality of a bargaining procedure affects its outcome. We compare a formal Baron–Ferejohn bargaining procedure to an informal procedure where players make and accept proposals in continuous time. Both constitute non-cooperative games corresponding to the same bargaining problem: a three-player median voter setting with an external disagreement point. This allows us to study formality in the presence and absence of a core and provides a natural explanation for the effects of preference polarization. Our results show that polarization hurts the median player and that formality matters. The median player is significantly better off under informal bargaining