Based on the point of view of geometrical representation of an intuitionistic fuzzy set, we take into account all three parameters describing intuitionistic fuzzy set, propose a kind of new method to calculate correlation and correlation coefficient of intuitionistic fuzzy sets which is similar to the cosine of the intersectional angle in finite sets and probability space, respectively. Further...

The main aim of this paper is to present a novel method for ranking hesitant fuzzy sets (HFSs) based on transforming HFSs into fuzzy sets (FSs). The idea behind the method is an interesting HFS decomposition which is referred here to as the horizontal representation in the current study. To show the validity of the proposed ranking method, we apply it to solve a multi-attribute decision-making ...

We extend the "method of multiplicities" to get the following results, of interest in combinatorics and randomness extraction. 1. We show that every Kakeya set (a set of points that contains a line in every direction) in F' must be of size at least qn/2". This bound is tight to within a 2 + o(1) factor for every n as q -oc, compared to previous bounds that were off by exponential factors in n. ...

The article describes a new Boolean minimization and single-level partitioning method based on the BOOM minimization system [6]. The minimization is performed with respect to the restrictions stated for the number of inputs and outputs of individual components and/or with the goal to reach load balancing for the inputs. The method can handle extremely large functions (up to thousands of input v...

This paper describes a method of the efficient query evaluation when uncertainty is involved in a deductive database system. A deductive system enriched with fuzzy logic is able to serve better as a knowledge system. Speeding up its execution makes this system practically useful.

the descriptors computed by hyperchem® software were employed to represent the solubility of 40 drug molecules in supercritical carbon dioxide using an artificial neural network with the architecture of 15-4-1. the accuracy of the proposed method was evaluated by computing average of absolute error (ae) of calculated and experimental logarithm of solubilities. the ae (±sd) of data sets was 0.4 ...

Xiao Liu, Congying Han, Tiande Guo School of Mathematical Science, University of Chinese Academy of Sciences, Beijing, 100049 Abstract Point sets matching method is very important in computer vision, feature extraction, fingerprint matching, motion estimation and so on. This paper proposes a robust point sets matching method. We present an iterative algorithm that is robust to noise case. First...