Cooperative Grey Games

Author(s):  
Sirma Zeynep Alparslan-Gök ◽  
Emad Qasım ◽  
Osman Palancı ◽  
Mehmet-Onur Olgun

In this chapter, the authors extend transportation situations under uncertainty by using grey numbers. Further, they try in this research building models for grey game problems on transportation situations proposing the ideas of grey solutions and their corresponding structures. They introduce cooperative grey games and grey solutions. They focus on the grey Shapley value and the grey core of the modeled game arising from transportation situations. Moreover, they prove the nonemptiness of the grey core for the transportation grey games, and some results on the relationship between the grey core.

Author(s):  
Andrey Varlamov ◽  
Vladimir Rimshin

Considered the issues of interaction between man and nature. Noted that this interaction is fundamental in the existence of modern civilization. The question of possible impact on nature and society with the aim of preserving the existence of human civilization. It is shown that the study of this issue goes towards the crea-tion of models of interaction between nature and man. Determining when building models is information about the interaction of man and nature. Considered information theory from the viewpoint of interaction between nature and man. Noted that currently information theory developed mainly as a mathematical theory. The issues of interaction of man and nature, the availability and existence of information in the material sys-tem is not studied. Indicates the link information with the energy terms control large flows of energy. For con-sideration of the interaction of man and nature proposed to use the theory of degradation. Graphs are pre-sented of the information in the history of human development. Reviewed charts of population growth. As a prediction it is proposed to use the simplest based on the theory of degradation. Consideration of the behav-ior of these dependencies led to the conclusion about the existence of communication energy and information as a feature of the degradation of energy. It justifies the existence of border life ( including humanity) at the point with maximum information. Shows the relationship of energy and time using potential energy.


2021 ◽  
Vol 16 (2) ◽  
pp. 165-168
Author(s):  
Stan Lipovetsky

The work describes developments in the multiple regression performed for building models resistant to multicollinearity, having meaningful robust solution for individual parameters, convenient for interpretation of the results, and good for prediction. A tool from the cooperative game theory, the Shapley Value analysis, have been tried for estimation of regression coefficients and relative usefulness of the predictors in a model. This approach has been checked and successfully applied in various real-life projects in data analysts for commercial companies. It is useful for decision makers in economics, management, marketing research, and any other practical fields.


2020 ◽  
Vol 26 (1) ◽  
pp. 37-47
Author(s):  
S.S. Polishchuk ◽  
O.O. Kotsyura ◽  
M.O. Dmitriev ◽  
V.O. Orlovskiy ◽  
M.V. Popov

The question of the relationship between the metric characteristics of cranial structures and odontometric parameters, and the possibility of building models based on them, which can later find their practical application in dental practice, remain a pressing problem of modern medical science. The purpose of the study is to establish the features of the relationship between the linear dimensions of molars with the cephalometric parameters of the brain and facial skull of practically healthy men in the northern region of Ukraine. 32 practically healthy residents of the northern region of Ukraine (from Kyiv, Zhytomyr, Sumy and Chernihiv regions) underwent computed tomography followed by odontometry of molars and cephalometry. The correlations between odontometric and cephalometric parameters were assessed using Spearman’s nonparametric statistics in the licensed package “Statistica 6.1”. The peculiarities of the correlations of the studied characteristics of molars with the indicators of the cerebral skull are established – multiple, only direct reliable (r = 0.35-0.57) and unreliable (r = 0.30-0.35) average correlation force (18.7% on the upper jaw, of which the relative majority with vestibular-lingual and mesio-distal dimensions and 24.1% on the lower jaw, of which the relative majority with the height of the teeth, their crowns and the length of the tooth roots); as well as with the indicators of the facial skull – mostly direct reliable (r = 0.35-0.51) and unreliable medium strength (r = 0.30-0.37) correlations, in most cases of a single nature (6.0% on the upper jaw and 6.6% on the lower jaw, almost uniformly with the height of the teeth, their crowns, root length, vestibular-lingual and mesio-distal dimensions). The results of correlation analysis of craniofacial structures are necessary for the correct construction of mathematical models, which can later find their practical application in dental practice and forensic medicine.


2014 ◽  
Vol 1 (3) ◽  
pp. 173-175 ◽  
Author(s):  
Carrie Demmans Epp

This work explores the use of an adaptive mobile tool for language learning. A school-based deployment study showed that the tool supported learning. A second study is being conducted in informal learning environments. Current work focuses on building models that increase our understanding of the relationship between application usage and learning.


2012 ◽  
Vol 433-440 ◽  
pp. 6195-6204
Author(s):  
Shi Yun Xiao ◽  
Yi Qing Si ◽  
Bin Yue ◽  
Liu Juan Yang ◽  
Xue Li Ge ◽  
...  

Rural building models were tested to research the action of flood on buildings, three different water heights with 0.6, 0.9 and 1.2 meters were applied to this experiment to simulate small-scale, medium-scale and large-scale flood respectively. The model was placed at 3, 6 and 9 meters far from the floodgate. In this paper, the effect of the water height and the distance between model and floodgate on the values and distributions of the flow pressure are studied. Some conclusions can be drawn: the flow pressures, force and bending moments of the flow surface increase with the increasing water height and the relationship are approximately linear; the values and distributions of the flow pressure are independent of the floodgate distance and the force and bending moment of the flow surface increase with the distance from 3 meter to 6 meter but decrease with the distance from 6 meter to 9 meter.


1967 ◽  
Vol 31 ◽  
pp. 239-251 ◽  
Author(s):  
F. J. Kerr

A review is given of information on the galactic-centre region obtained from recent observations of the 21-cm line from neutral hydrogen, the 18-cm group of OH lines, a hydrogen recombination line at 6 cm wavelength, and the continuum emission from ionized hydrogen.Both inward and outward motions are important in this region, in addition to rotation. Several types of observation indicate the presence of material in features inclined to the galactic plane. The relationship between the H and OH concentrations is not yet clear, but a rough picture of the central region can be proposed.


Paleobiology ◽  
1980 ◽  
Vol 6 (02) ◽  
pp. 146-160 ◽  
Author(s):  
William A. Oliver

The Mesozoic-Cenozoic coral Order Scleractinia has been suggested to have originated or evolved (1) by direct descent from the Paleozoic Order Rugosa or (2) by the development of a skeleton in members of one of the anemone groups that probably have existed throughout Phanerozoic time. In spite of much work on the subject, advocates of the direct descent hypothesis have failed to find convincing evidence of this relationship. Critical points are:(1) Rugosan septal insertion is serial; Scleractinian insertion is cyclic; no intermediate stages have been demonstrated. Apparent intermediates are Scleractinia having bilateral cyclic insertion or teratological Rugosa.(2) There is convincing evidence that the skeletons of many Rugosa were calcitic and none are known to be or to have been aragonitic. In contrast, the skeletons of all living Scleractinia are aragonitic and there is evidence that fossil Scleractinia were aragonitic also. The mineralogic difference is almost certainly due to intrinsic biologic factors.(3) No early Triassic corals of either group are known. This fact is not compelling (by itself) but is important in connection with points 1 and 2, because, given direct descent, both changes took place during this only stage in the history of the two groups in which there are no known corals.


2020 ◽  
Vol 43 ◽  
Author(s):  
Thomas Parr

Abstract This commentary focuses upon the relationship between two themes in the target article: the ways in which a Markov blanket may be defined and the role of precision and salience in mediating the interactions between what is internal and external to a system. These each rest upon the different perspectives we might take while “choosing” a Markov blanket.


2019 ◽  
Vol 42 ◽  
Author(s):  
Paul Benjamin Badcock ◽  
Axel Constant ◽  
Maxwell James Désormeau Ramstead

Abstract Cognitive Gadgets offers a new, convincing perspective on the origins of our distinctive cognitive faculties, coupled with a clear, innovative research program. Although we broadly endorse Heyes’ ideas, we raise some concerns about her characterisation of evolutionary psychology and the relationship between biology and culture, before discussing the potential fruits of examining cognitive gadgets through the lens of active inference.


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