Characterization of a class of fuzzy implication solutions to the law of importation

2021 ◽  
Author(s):  
Hongjun Zhou ◽  
Yingying Song
Keyword(s):  
Fuzzy Implication ◽  
The Law

scholarly journals Some Advances on the Solution of the Generalized Law of Importation for Fuzzy Implication Functions

2021 ◽  
Author(s):  
Isabel Aguiló ◽  
Sebastia Massanet ◽  
Juan Vicente Riera
Keyword(s):  
Image Processing ◽  
Functional Equation ◽  
Complete Characterization ◽  
Approximate Reasoning ◽  
Fuzzy Implication ◽  
The Law

The law of importation has attracted the interest of many researchers devoted to fuzzy implication functions in the last decades. This property has several important applications, especially in approximate reasoning and image processing. Several generalizations of this property have been proposed. Specifically, one generalization related to the law of migrativity was recently introduced by Baczyński et al. in which two fuzzy implication functions are involved. In this paper, some advances on the solution of this functional equation for the particular case where the involved fuzzy conjunction is a t-norm are presented. Indeed, a complete characterization of all those pairs of fuzzy implication functions with a strict natural fuzzy negation satisfying the generalized law of importation is achieved.

La zone économique exclusive dans la pratique des États

1998 ◽  
Vol 35 ◽  
pp. 3-55 ◽  
Author(s):  
Francis Rigaldies
Keyword(s):  
United Nations ◽  
Scientific Research ◽  
Law Of The Sea ◽  
Basic Principles ◽  
Judicial Decisions ◽  
State Practice ◽  
United Nations Convention ◽  
The United Nations ◽  
The Law

SummaryThe use of the concept of an exclusive Economie zone has increased since the adoption of the United Nations Convention on the Law of the Sea. However, the characterization of this zone varies greatly between States. This article presents an exhaustive survey of the concept of an exclusive Economie zone. The author discusses the types of jurisdiction exercised by States in their uses of an exclusive Economie zone. Disparity exists between the provisions of the Convention and State practice in some specific areas: for example, the provisions on the environment and on scientific research. Despite these exceptions, the author maintains that the basic tenets of the Convention are respected in State practice. State declarations as well as arbitral and judicial decisions show that the Convention and State practice are together evolving to reinforce the basic principles of the concept of an exclusive Economie zone.

scholarly journals A characterization of the law of Lotka in terms of sampling

2005 ◽  
Vol 62 (3) ◽  
pp. 321-328 ◽  
Author(s):  
Leo Egghe
Keyword(s):  
The Law

Fundamental aspects of the vortex flow on cones. Angular characterization of hyperlifting vortex torques; the law of filiation

2008 ◽  
Vol 86 (8) ◽  
pp. 1027-1031 ◽  
Author(s):  
A Abene ◽  
V Dubois
Keyword(s):  
Wind Tunnel ◽  
Vortex Flow ◽  
Secondary Structures ◽  
Current Theory ◽  
Vortex Structures ◽  
Apex Angle ◽  
Slender Bodies ◽  
The Law

This paper describes in detail the fundamental aspects of the vortex flow developed on the upper surface of a cone having an apex angle of 68.6°. It is one of a large number of studies carried out in the wind tunnel of the Valenciennes University aerodynamics and hydrodynamics laboratory whereby visualizations have enabled the flow of vortex structures to be monitored and consequently their development and positioning, under the influence of apex angles and at increasing angles of incidence, to be determined and defined. The existence and the preferential nature of intervortex angles are here confirmed and it has been found, by analogy with studies carried out on other types of slender bodies, that the law of filiation is applicable to the angular characterization of hyperlifting vortex torques and to the angular correspondence existing between their main and secondary structures. These findings suggest that there is a certain universality in the behaviour of these properties although no current theory would seem to be able as yet to provide a straightforward explanation of the phenomena.PACS Nos.: 44, 47

Characterization of distributions by the identical distribution of linear forms

1966 ◽  
Vol 3 (02) ◽  
pp. 481-494 ◽  
Author(s):  
Morris L. Eaton
Keyword(s):  
Random Variables ◽  
Linear Forms ◽  
Characterization Of Distributions ◽  
Identical Distribution ◽  
The Law

Throughout this paper, we shall write ℒ(W) = ℒ(Z) to mean the random variables W and Z have the same distribution. The relation “ℒ(W) = ℒ(;Z)” reads “the law of W equals the law of Z”.

On the Ordering Property and Law of Importation in Fuzzy Logic

2010 ◽  
Vol 1 (3) ◽  
pp. 17-30
Author(s):  
Huiwen Deng ◽  
Huan Jiang
Keyword(s):  
Fuzzy Logic ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Sufficient Condition ◽  
Fuzzy Implications ◽  
Fuzzy Implication ◽  
The Law ◽  
Necessary And Sufficient ◽  
Triple I Method

In this paper, the authors investigate the ordering property (OP), , together with the general form of the law of importation(LI), i.e., , whereis a t-norm andis a fuzzy implication for the four main classes of fuzzy implications. The authors give necessary and sufficient conditions under which both (OP) and (LI) holds for S-, R-implications and some specific families of QL-, D-implications. Following this, the paper proposes the sufficient condition under which the equivalence between CRI and triple I method for FMP can be established. Moreover, this conclusion can be viewed as a unified triple I method, a generalized form of the known results proposed by Wang and Pei.

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