Abstract Uniform integer-valued Lipschitz functions on a domain of size N the triangular lattice are shown to have variations order $$\sqrt{\log N}$$ log N . The level lines such form loop O (2) model edges hexagonal with edge-weight one. An inf...

Summary Since isosceles triangular and trapezoidal membership functions [4] are easy to manage, they were applied various fuzzy approximate reasoning [10], [13], [14]. The centroids of mentioned in this article [16], [9] formalized [11] [12]. Some propositions the composition mapping ( f + · g , or +* using Mizar formalism, where a ne mappings), proved following [3], [15]. Then different notati...

AbsrractConventional fuzzy logic controller uses input membership functions that consist of identical triangular input membership functions (MF) for all the subsets that are not located at the two ends of the universal set (center width constant or CWC). Some researchers in the field of motor controllers have started using narrower base triangular membership functions for the input subsets that...

Several formulas for crossing functions arising in the continuum limit of critical two-dimensional percolation models are studied. These include Watts’s formula for the horizontal-vertical crossing probability and Cardy’s new formula for the expected number of crossing clusters. It is shown that for lattices where conformal invariance holds, they simplify when the spatial domain is taken to be ...

In principle, we can have many different membership functions. Interestingly, however, in many practical applications, triangular and trapezoidal membership functions are the most efficient ones. In this paper, we use fuzzy approach to explain this empirical phenomenon.

Pattern classification is one of the most important topics for machine learning research fields. However incomplete data appear frequently in real world problems and also show low learning rate in classification models. There have been many researches for handling such incomplete data, but most of the researches are focusing on training stages. In this paper, we proposed two classification meth...