Uncertainty Modeling: Dedicated to Professor Boris by Vladik Kreinovich

By Vladik Kreinovich

This booklet commemorates the sixty fifth birthday of Dr. Boris Kovalerchuk, and displays a few of the study components coated by way of his paintings. It makes a speciality of facts processing lower than uncertainty, particularly fuzzy information processing, while uncertainty comes from the imprecision of specialist reviews. The booklet comprises 17 authoritative contributions via best experts.

Show description

Read or Download Uncertainty Modeling: Dedicated to Professor Boris Kovalerchuk on his Anniversary PDF

Similar nonfiction_14 books

British and foreign arms & armour

Оружейная история Британии и других стран. Книга проиллюстрирована 450 гравюрами и forty two тоновыми иллюстрациями. Охватывает период с древнейших времен до 17 века

Upconverting nanomaterials: perspectives, synthesis, and applications

Upconverting Nanomaterials: views, Synthesis, and functions serves as a robust device that explores state of the art examine wisdom with regards to upconverting nanosystems, whereas at the same time delivering the mandatory basic heritage for nonspecialist readers. many of the points of upconverting fabrics are approached either from a theoretical perspective, quite upconverting phenomenon, and a pragmatic one.

Breaking the Panzers. The Bloody Battle for Rauray, Normandy, 1 July 1944

This paintings describes the important shielding struggling with on 1 July 1944 at Rauray in Normandy. even if the first Tyneside Scottish battalion won a conflict honour for his or her victory opposed to the may well of 2 of Germanys elite SS Panzer Divisions, the engagement and its importance for the Normandy crusade as an entire were mostly forgotten.

Fractals: applications in biological signalling and image processing

The ebook presents an perception into the benefits and boundaries of using fractals in biomedical information. It starts with a short creation to the idea that of fractals and different linked measures and describes functions for biomedical indications and pictures. homes of organic information in kin to fractals and entropy, and the organization with overall healthiness and growing old also are coated.

Extra info for Uncertainty Modeling: Dedicated to Professor Boris Kovalerchuk on his Anniversary

Example text

This data set consists of 20000 messages taken from 20 newsgroups. Each group contains one thousand Usenet articles. Approximately 4% of the articles are crossposted. Our only preprocessing was removing words with length ≤ 2. For defining meaningful words we use NFAT and consider each group as separate container. In Fig. 5, group lengths (total number of words) in tens of words is shown by blue line and number of different words in each group is shown by green line. misc’. After creating meaningful words for each group based on NFAT with = 1 and removing non-meaningful words from each group, the news group lengths (total number of meaningful words) in tens of words is shown my blue line in Fig.

19. Let us introduce the simplest possible classifier C from messages to the set of 20 Newsgroups. For a message M let us denote by set(M) the set of all different words in M. Then C(M) is a group with largest number of words in set(M) MW [i]. If there are several groups with the same largest number of words in set(M) MW [i], then we select as C(M) a group with smallest index. In the case when all intersections set(M) MW [i] are empty, we will mark a message M as “unclassifiable”. The results of applying this classifier to the remaining 90% of 20Newsgroups can be represented by the classification confusion matrix CCM Fig.

Return f (node(m − 1, N, K, x), node(m − 1, N, K, x)). function f _n(w, x, L) 1. create the array N := (k1 , k2 ) by using k1 := w1 2L + 21 , and k2 := 2L − k1 ; 2. K := 1; 3. return node(L, N, K, x). In this algorithm, the array N serves as a counter of how many copies of each of x[K] remains. If there are more than 2m copies, they belong to a branch that can be pruned, so the function node just returns x[K] and never visits the nodes of that branch. If N[K] = 1 then the last remaining copy of x[K] is returned and the value of K is incremented.

Download PDF sample

Rated 4.65 of 5 – based on 34 votes