Multiclassification by Double-Negative Aggregation of SVM Membership

2005 ◽  
Vol 9 (6) ◽  
pp. 698-707
Author(s):  
Hidetoshi Tanaka ◽  
Keyword(s):  
Support Vector Machines ◽  
Computational Cost ◽  
Support Vector ◽  
Double Negative ◽  
Membership Functions ◽  
Vector Machines ◽  
Low Computational Cost ◽  
Logical Product ◽  
Fuzzy Logical

Multiclassification problems are often binarized into pairwise classifications to use basic classification such as support vector machines (SVM). Instead of the widely used aggregation by fuzzy logical product, we propose simple double-negative aggregation, in which the membership functions use margin areas of SVM discrimination functions, and memberships of negative votes of the class are accumulated to produce the negative membership of the class. This provides results consistent with basic pairwise memberships, enumerates candidates when the total membership of multiple classes is nearly equal, and requires low computational cost in class reconfiguration.

scholarly journals «Nomenclature embryo»: the birth of the Soviet nomenclature system in SSRB – BSSR (1920–1924)

2020 ◽  
pp. 34-43
Author(s):  
Sergey A. Elizarov
Keyword(s):  
Organizational Design ◽  
Point Of View ◽  
Power Structures ◽  
Public Authorities ◽  
Soviet Leadership ◽  
Nomenclature System ◽  
Long Time ◽  
The One ◽  
And Control ◽  
Logical Product

The article considers the process of origin in 1920–1924 of the nomenclature system in the Soviet Belarus as an immanent phenomenon of the Soviet model of modernization of society with its inherent monopolization of power of the monopolistically ruling Communist party. These issues are considered in more detail in relation to public authorities and management, where the nomenclature principle of substitution of elections by appointment is most clearly implemented. The party nomenclature, on the one hand, was a logical product of this model; on the other hand, it allowed it not only to persist for a long time, but also to solve both strategic and tactical development tasks with varying degrees of efficiency. The author comes to the conclusion that by the end of 1924, all the basic prerequisites for the organizational design of the classical Soviet nomenclature system were created. Firstly, during this period, the principle of monopoly of the Bolshevik party in determining the personnel composition of state authorities and management, including the occupation of elected positions, was consolidated. Secondly, a system of accounting and distribution bodies for all party cadres is being formed and this mechanism is actually being extended to all power structures. Third, a list of positions is being formed that, from the point of view of the highest party and Soviet leadership, enable it to manage and control all spheres of societyʼs life in its movement towards the socialist ideal.

Rubberlike Properties of Polybutene

1940 ◽  
Vol 13 (3) ◽  
pp. 521-532 ◽  
Author(s):  
W. J. Sparks ◽  
I. E. Lightbown ◽  
L. B. Turner ◽  
P. K. Frolich ◽  
C. A. Klebsattel
Keyword(s):  
Molecular Weight ◽  
Physical State ◽  
Structural Features ◽  
Low Molecular Weight ◽  
General View ◽  
Vinyl Polymers ◽  
Chemical Structures ◽  
Per Se ◽  
Logical Product ◽  
Molecular Weight Form

Abstract Until the last decade the explanation of those properties for which rubber is unique was confined largely to the study of rubber itself. Duplication of these properties involved the synthesis of polymers from isoprene and its immediate homologs. The discovery that chloroprene could be polymerized to a rubberlike substance altered the character of the study and represented a distinct departure in the type of diolefin used. The production of Thiokol, phosphonitrile, and the various vinyl polymers has resulted in the duplication of certain rubberlike physical properties by chemical structures wholly unrelated to rubber. Observation of the behavior of these newer elastics must lead to the conclusion that many physical characteristics of rubber are not inherent in the conformation of the rubber molecule alone. Whitby suggested that any general view of the structure of rubber can be regarded as acceptable only if it is applicable to other elastic colloids. Conversely, those properties of rubber which are not shared by other elastics must be explained by structural features not common to them all. A logical product to consider for the segregation of properties relating to the rubber structure per se and those capable of being shared by other molecules is hydrorubber. This substance has been observed to have certain “rubbery” properties, but unfortunately for comparison it has been prepared only in a degraded or low molecular weight form and therefore (from the standpoint of physical state) is not directly comparable with rubber.

A generalization of the antilogism

1941 ◽  
Vol 6 (3) ◽  
pp. 90-95
Author(s):  
Ray H. Dotterer
Keyword(s):  
Traditional Logic ◽  
Convenient Procedure ◽  
Logical Product

The Ladd-Franklin “antilogism” provides a very convenient procedure for testing syllogistic arguments, especially when they are expressed algebraically. It is well known, however, that the antilogism test indicates the invalidity of certain moods which the traditional logic regards as valid. These are the moods in which a particular conclusion is inferred from two universal premises. It is the aim of this paper to show that the antilogism can be generalized in such a way as to cover these moods, and also to be applicable to certain forms of “immediate inference” and “sorites,” as these designations have been traditionally employed.We shall find that when generalized in this fashion there are two principal kinds of antilogisms: (1) those which include an inequation of the form ab≠0, and (2) those which include an inequation of the form a≠0.Definition. An antilogism is a group of propositions so constructed that the contradictory of any one of them is implied by the logical product of the others.

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