Rough set theory, introduced by Pawlak [10], is a mathematical formalism dealing with uncertainty and to some extent overlapping fuzzy set theory introduced by Zadeh [12]. In fuzzy set theory vagueness is expressed by a membership function. The rough set theory approach is based on indiscernibility relations and approximations. A major advantage of rough set theory is that it needs no prelimina...

The rough set theory usually is used in datamining. At this time, we will suppose the approximation operator to satisfy some wonderful properties. It need us to think about the basis algebra, the binary relation and the approximation operator’s form in the rough set model. Lfuzzy rough approximation operator is a general fuzzy rough approximation operator. Comparing with the others rough approx...

Most walking assist systems reported are not ready for using in real-world environment; where there are frequent perturbations .Our ultimate goal is to realize artificial reflexes to real-world walking support systems. This goal needs both qualitative and quantitative understanding of human reflexive mechanism. In this study we built a human walking simulator consisting of a Central Pattern Gen...

The articles [25], [20], [8], [9], [1], [23], [18], [24], [19], [26], [22], [6], [3], [7], [14], [4], [17], [15], [16], [2], [11], [12], [13], [21], and [5] provide the terminology and notation for this paper. The following two propositions are true: (1) For every set x and for every non empty set D holds x∩ ⋃ D = ⋃ {x∩d : d ranges over elements of D}. (2) Let R be a non empty reflexive transit...

We introduce reflexive polytopes of index l as a natural generalisation of the notion of a reflexive polytope of index 1. These l-reflexive polytopes also appear as dual pairs. In dimension two we show that they arise from reflexive polygons via a change of the underlying lattice. This allows us to efficiently classify all isomorphism classes of l-reflexive polygons up to index 200. As another ...

Editorial Summary In her contribution »Reflexive, Reflexivity, and the Concept of Reflexive Design« Margitta Buchert frames notion reflexive design research, pitting various underlying concepts against one another forming framework for research. As such, she emphasizes punctuated distinction reflection as an integrated component research reflexion alignment attitude. this sense highlights recip...

Reflexive saccades (fast eye movements) and voluntary saccades activate overlapping parts of the oculomotor system. It is assumed that striatal dopamine depletion in Parkinson's disease (PD) only affects the voluntary saccadic system and that the often-reported facilitation of the reflexive saccadic system in PD is secondary to impairment of the voluntary saccadic system. If this assumption is ...