First Author et al. 1 Embedded software engineers have often relied on the use of modeling and simulation techniques in order to make software development tasks manageable. However, they often embed external components in simulation models, which may cause model continuity problems. That is, such models and their simulation artifacts could be abandoned during the design phase since the models m...

We show that the size reduction problem for fuzzy automata is related to the problem of solving a particular system of fuzzy relation equations. This system consists of infinitely many equations, and finding its general solution is a very difficult task, so we first consider one of its special cases, a finite system whose solutions, called right invariant fuzzy equivalences, are common generali...

For 0 < α ≤ 2, a super-α-stable motion X in R with branching of index 1 + β ∈ (1, 2) is considered. If d < α/β, a dichotomy for the density of states Xt at fixed times t > 0 holds: the density function is locally Hölder continuous if d = 1 and α > 1 + β, but locally unbounded otherwise. Moreover, in the case of continuity, we determine the optimal Hölder index.

For 0 < α ≤ 2, a super-α-stable motion X in R with branching of index 1+β ∈ (1, 2) is considered. Fix arbitrary t > 0. If d < α/β, a dichotomy for the density function of the measure Xt holds: the density function is locally Hölder continuous if d = 1 and α > 1 + β, but locally unbounded otherwise. Moreover, in the case of continuity, we determine the optimal local Hölder index.

The problem of finding association rules from a dataset is to find all possible associations that hold among the items, given a minimum support value and a minimum confidence. This involves finding frequent sets first and then the association rules that hold within the items in the frequent sets. The problem of mining temporal association rules from temporal dataset is to find association rules...

National Sun Yat-sen University, Taiwan; email: [email protected] FUZZY NOISE REMOVAL AND EDGE DETECTION ON HEXAGONAL IMAGE Kazi Mostafa*, John Y. Chiang**, Wei-cheng Tsai*, and Innchyn Her* Abstract Traditionally images are digitized, processed and displayed in a rectangular grid. But rectangular grid has many inherent ambiguities such as continuity, inter-pixel distance, etc. These ambi...

The paper studies basic graded properties of unary and binary fuzzy connectives, i.e., unary and binary operations on the set of truth degrees of a background fuzzy logic extending the logic MTL of left-continuous t-norms. The properties studied in this paper are graded generalizations of monotony, Lipschitz continuity, null and unit elements, idempotence, commutativity, and associativity. The ...