scholarly journals Commuting Double Sugeno Integrals

2019 ◽  
Vol 27 (Supp01) ◽  
pp. 1-38
Author(s):  
Didier Dubois ◽  
Hélène Fargier ◽  
Agnès Rico
Keyword(s):  
Expected Utility ◽  
Two Dimensions ◽  
The Other ◽  
Decision Problems ◽  
One Dimension ◽  
Two Dimensional ◽  
Conference Paper ◽  
The Relationship ◽  
Previous Conference

In decision problems involving two dimensions (like several agents in uncertainty) the properties of expected utility ensure that the result of a two-stepped procedure evaluation does not depend on the order with which the aggregations of local evaluations are performed (e.g., agents first, uncertainty next, or the converse). We say that the aggregations on each dimension commute. In a previous conference paper, Ben Amor, Essghaier and Fargier have shown that this property holds when using pessimistic possibilistic integrals on each dimension, or optimistic ones, while it fails when using a pessimistic possibilistic integral on one dimension and an optimistic one on the other. This paper studies and completely solves this problem when more general Sugeno integrals are used in place of possibilistic integrals, leading to double Sugeno integrals. The results show that there are capacities other than possibility and necessity measures that ensure commutation of Sugeno integrals. Moreover, the relationship between two-dimensional capacities and the commutation property for their projections is investigated.

scholarly journals A REJECTION MECHANISM IN 2D BOUNDED CONFIDENCE PROVIDES MORE CONFORMITY

2008 ◽  
Vol 11 (04) ◽  
pp. 529-549 ◽  
Author(s):  
S. HUET ◽  
G. DEFFUANT ◽  
W. JAGER
Keyword(s):  
Attitude Change ◽  
Large Range ◽  
Two Dimensions ◽  
The Other ◽  
One Dimension ◽  
Two Dimensional ◽  
Number Of Clusters ◽  
Bounded Confidence ◽  
Rejection Mechanism ◽  
Model Apply

This paper explores the dynamics of attitude change in two dimensions resulting from social interaction. We add a rejection mechanism into the 2D bounded confidence (BC) model proposed by Deffuant et al. (2001). Individuals are characterized by two-dimensional continuous attitudes, each associated with an uncertainty u, supposed constant in this first study. Individuals interact through random pairs. If their attitudes are closer than u on both dimensions, or further than u on both dimensions, or closer than u on one dimension and not further than u + δ u on the other dimension, then the rules of the BC model apply. But if their attitudes are closer than u on one dimension and further than u + δ u on the other dimension, then the individuals are in a dissonant state. They tend to solve this problem by shifting away their close attitudes. The model shows metastable clusters, which maintain themselves through opposite influences of competitor clusters. Our analysis and first experiments support the hypothesis that, for a large range of uncertainty values, the number of clusters grows linearly with the inverse of the uncertainty, whereas this growth is quadratic in the BC model.

scholarly journals Assessing a Linear Nanosystem's Limiting Reliability from its Components

2008 ◽  
Vol 45 (03) ◽  
pp. 879-887 ◽  
Author(s):  
Nader Ebrahimi
Keyword(s):  
Present State ◽  
Size Range ◽  
Two Dimensions ◽  
The Other ◽  
One Dimension ◽  
Present Moment ◽  
One Dimensional ◽  
The One ◽  
Fixed Moment ◽  
Nanosized Systems

Nanosystems are devices that are in the size range of a billionth of a meter (1 x 10-9) and therefore are built necessarily from individual atoms. The one-dimensional nanosystems or linear nanosystems cover all the nanosized systems which possess one dimension that exceeds the other two dimensions, i.e. extension over one dimension is predominant over the other two dimensions. Here only two of the dimensions have to be on the nanoscale (less than 100 nanometers). In this paper we consider the structural relationship between a linear nanosystem and its atoms acting as components of the nanosystem. Using such information, we then assess the nanosystem's limiting reliability which is, of course, probabilistic in nature. We consider the linear nanosystem at a fixed moment of time, say the present moment, and we assume that the present state of the linear nanosystem depends only on the present states of its atoms.

scholarly journals COUNTRY MATTERS: WELL-BEING AND EMIGRATION PLANS AMONG UNIVERSITY STUDENTS IN SLOVAKIA AND BULGARIA: THE MEDIATION EFFECT OF ROOTEDNESS

2020 ◽  
pp. 107-119
Author(s):  
Frederika Lučanská ◽  
◽  
Oľga Orosová ◽  
Vihra Naydenova ◽  
Jozef Benka ◽  
...  
Keyword(s):  
University Students ◽  
Exploratory Study ◽  
Online Survey ◽  
Well Being ◽  
Two Dimensions ◽  
Mediation Effect ◽  
One Dimension ◽  
Psychological Mechanisms ◽  
The Relationship

The objective of this exploratory study was to examine the relationship between well-being, rootedness and emigration plans (EP) among university students in Slovakia and Bulgaria. It also explored the mediation effect of rootedness in the relationship between well-being and EP. The data were collected throughan online survey (SLiCE 2016). The research sample consisted of 361 university students (M=22.4 years, SD=3.8) from Slovakia (141, 86.5% female) and Bulgaria (220, 69.1% female). Based on their emigration plans, the respondentswere dividedinto two groups;those who do not plan to leave (n=218, 60.4%) and those who plan to leave in the long term (n=143, 39.6%) after they finish university. ForSlovakia, all factors were significantly related toEP. Furthermore, the association between well-being and EP was fully mediated by two dimensions of rootedness with different psychological mechanisms. For Bulgaria, only well-being and onedimension of rootedness,desire for change,were significantly related to EP. It was also found that the association between well-being and EP was partially mediated by only one dimension of rootedness –desire for change. This study highlightsthat rootedness hasa different relationship with other examined factorsin different countries and also that it is necessary to respect the cultural and socio-economic featuresof acountry.

Wavefronts, light rays and caustic associated with the refraction of a plane wavefront by a conospherical lens

2021 ◽  
Author(s):  
José Israel Galindo-Rodríguez ◽  
Gilberto Silva-Ortigoza
Keyword(s):  
Optical Axis ◽  
Spherical Surface ◽  
Bessel Beam ◽  
Optical Element ◽  
The Other ◽  
Two Dimensional ◽  
Light Rays ◽  
Plane Wavefront ◽  
The Relationship ◽  
Dimensional Surface

Abstract The aim of the present work is to introduce a lens whose faces are a conical surface and a spherical surface. We illuminate this lens by a plane wavefront and its associated refracted wavefronts, light rays and caustic are computed. We find that the caustic region has two branches and can be virtual, real or one part virtual and the other real, depending on the values of the parameters characterizing the lens. Furthermore, we present a particular example where one of the branches of the caustic region is constituted by two segments of a line, one part is real and the other one virtual. The second branch is a two-dimensional surface with a singularity of the cusp ridge type such that its Gaussian curvature is different from zero. It is important to remark that for this example, the two branches of the caustic are disconnected. Because of this property and the result obtained by Berry and Balazs on the relationship between the acceleration of an Airy beam and the curvature of its corresponding caustic, we believe that using this optical element one could generate a scalar optical accelerating beam in the region where the caustic is a two-dimensional surface of revolution, and at the same time a scalar optical beam with similar properties to the Bessel beam of zero order in the region were the real caustic is a segment of a line along the optical axis.

scholarly journals Averaging over Narain moduli space

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Alexander Maloney ◽  
Edward Witten
Keyword(s):  
Einstein Gravity ◽  
Two Dimensions ◽  
Three Dimensions ◽  
One Dimension ◽  
Simons Theory ◽  
Two Dimensional ◽  
Dual Theory ◽  
Recent Developments ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract Recent developments involving JT gravity in two dimensions indicate that under some conditions, a gravitational path integral is dual to an average over an ensemble of boundary theories, rather than to a specific boundary theory. For an example in one dimension more, one would like to compare a random ensemble of two-dimensional CFT’s to Einstein gravity in three dimensions. But this is difficult. For a simpler problem, here we average over Narain’s family of two-dimensional CFT’s obtained by toroidal compactification. These theories are believed to be the most general ones with their central charges and abelian current algebra symmetries, so averaging over them means picking a random CFT with those properties. The average can be computed using the Siegel-Weil formula of number theory and has some properties suggestive of a bulk dual theory that would be an exotic theory of gravity in three dimensions. The bulk dual theory would be more like U(1)2D Chern-Simons theory than like Einstein gravity.

Assessing the Validity of SWAT as a Workload Measurement Instrument

1983 ◽  
Vol 27 (2) ◽  
pp. 124-128 ◽  
Author(s):  
Stephen P. Boyd
Keyword(s):  
Mental Workload ◽  
Measurement Instrument ◽  
Two Dimensions ◽  
The Other ◽  
Three Dimensions ◽  
One Dimension ◽  
Implicit Assumption ◽  
Workload Measurement ◽  
Positive Correlations ◽  
High Level

The Subjective Workload Asssessment Technique (SWAT) carries with it the implicit assumption that people can accurately predict the amount of mental workload they would experience under various levels of three component dimensions. Research suggests that the perceptions of these dimensions may not be independent. This study was designed to measure the subjective interactions between the dimensions used in SKAT. Mental workload was generated using a text editing task in which the dimensions were manipulated independently. Results revealed significant positive correlations between the subjective levels of the three dimensions. That is, when a subject experienced a high level of one dimension, s/he also tended to rate the other two dimensions high. It may be unreasonable to assume that people can accurately predict the magnitude of these interactions when performing the ranking process which is used to derive the workload scale.

ADSORPTION OF POLYATOMICS: THEORETICAL APPROACHES IN MODEL SYSTEMS AND APPLICATIONS

2006 ◽  
Vol 20 (28) ◽  
pp. 4709-4778 ◽  
Author(s):  
JOSÉ L. RICCARDO ◽  
FEDERICO J. ROMÁ ◽  
ANTONIO J. RAMIREZ-PASTOR
Keyword(s):  
Heterogeneous Systems ◽  
Statistical Thermodynamics ◽  
Two Dimensions ◽  
Model Systems ◽  
One Dimension ◽  
Two Dimensional ◽  
Multilayer Adsorption ◽  
Theoretical Approaches ◽  
Semi Empirical ◽  
Adsorption Phenomena

The adsorption of polyatomics on one- and two-dimensional lattices is studied by combining theoretical modeling, Monte-Carlo (MC), simulations and their correspondence with experimental results. In one dimension, the rigorous statistical thermodynamics of interacting chains has been presented. With respect to two-dimensional adsorption, six different models to study non-interacting adsorbates have been discussed: (i) an extension to two dimensions of the exact thermodynamic functions obtained in one dimension; (ii) the Flory–Huggins's approximation and its modification to address linear adsorbates; (iii) the well-known Guggenheim–DiMarzio approximation; (iv) the fourth one is a new description of adsorption phenomena, based on Haldane's fractional statistics; (v) the so-called Occupation Balance, based on the expansion of the reciprocal of the fugacity; and (vi) a simple semi-empirical model obtained by combining exact one-dimensional calculations and Guggenheim–DiMarzio approach. In addition, the statistical thermodynamics of interacting polyatomics has been developed on a generalization in the spirit of the Bragg–Williams and the quasi-chemical approximations. Comparison with MC simulations and experimental adsorption isotherms are used to test the accuracy and reliability of the proposed models. Finally, applications to heterogeneous systems and multilayer adsorption are discussed.

Success, Failure, and Personality

1963 ◽  
Vol 13 (2) ◽  
pp. 567-574 ◽  
Author(s):  
Harold H. Kassarjian
Keyword(s):  
Mental Illness ◽  
Personality Traits ◽  
Two Dimensions ◽  
The Other ◽  
Self Concept ◽  
Objective Measures ◽  
Two Dimensional ◽  
Moderate Correlation ◽  
Cultural Patterns ◽  
The Individual

The cultural patterns of success and failure were defined as a two-dimensional process. The first is indicated by objective measures of achievement, the “societal” success-failure continuum; the other by the aspirations of the individual and his self perception of success or failure. Results indicate a moderate correlation (.51) between the two dimensions. Failure on both dimensions was found to be related to a poorer self concept, fewer adjustive attitudes, greater complaints of physical and mental illness symptoms and less socially desirable personality traits than found in individuals who score as successful on both criteria. Some variables were found to be primarily related to the psychological failure dimension and others primarily related to societal failure.

scholarly journals Investigation of the Relationship Between the Two-Dimensional Self-Esteem Perceptions and Leadership Orientations of the Faculty of Sports Sciences Students

2021 ◽  
Vol 4 (4) ◽  
Author(s):  
Ismail Karatas ◽  
◽  
Hayri Akyuz
Keyword(s):  
Charismatic Leadership ◽  
Self Esteem ◽  
The Self ◽  
The Other ◽  
Two Dimensional ◽  
Leadership Orientations ◽  
Other Hand ◽  
Questionnaire Form ◽  
Sports Sciences ◽  
The Relationship

This research was carried out to investigate of the relationship between the two-dimensional self-esteem perceptions and leadership orientations of the students of the faculty of sports sciences. In this context, the relational survey model, which is consistent with the main purpose of the study, was used in this quantitative study. A total of 323 students, 125 females and 198 males at the Faculty of Sports Sciences of Bartın University constitute the sample of the research. Convenience sampling method, one of the non-probabilistic sampling approaches, was used in the selection of the research group. Questionnaire form was used as data collection tool and this form consisted of three parts. The first part includes the “Personal Information Form,” the second part includes the “Two-Dimensional Self-Esteem: Self-Liking/Self-Competence Scale” and the third part includes the “Multidimensional Leadership Orientations Scale.” The descriptive statistics of the raw data obtained through the questionnaire form were first calculated by considering the data type. Then, the reliability of the scales related to the obtained data were investigated, and the difference and correlation tests were used in the statistical evaluation. In this direction, it has been determined that there are significant correlations within the scope of age and family income level variables. However, there was no significant relationship within the scope of personal income level variable. On the other hand, it was found that there are significant differences in the scope of department and actively doing sports variables. However, it was observed that there were no significant differences in the scope of gender, grade, and place of residence variables. On the other hand, it was determined that there were positive and moderately significant correlations between the participants’ scores of self-liking and political leadership, human resources leadership, charismatic leadership and structural leadership. In addition, it was found that there were positive and moderately significant correlations between the self-competence scores of the participants and the scores of political leadership, charismatic leadership and structural leadership. On the other hand, it was understood that there was a statistically significant positive and low-level correlation between the participants' self-competence scores and their human resources leadership scores. As a result, it can be said that as the self-esteem of the participants increases, their leadership orientation also increases. In this context, it can be said that increasing the self-esteem of the participants is an important concept in the context of leadership orientations.

scholarly journals Building Rubiks Cube: A Function Of Production

2008 ◽  
Vol 12 (1) ◽  
pp. 25-32
Author(s):  
Jose Villacis Gonzalez
Keyword(s):  
The Other ◽  
Two Dimensional ◽  
3 Dimensional ◽  
Production Processes ◽  
Key Factor ◽  
Final Design ◽  
Dimensional Cube ◽  
The One ◽  
The Cost ◽  
The Relationship

The Rubiks cube is a special game and a very particular puzzle. The 3-dimensional cube is made up of six faces, or boundary sections, of the same size. Each face, or section, consists of several two dimensional square parts, or cubelets. Every cubelet has the same surface area, and each of the six faces has the same number of cubelets. Therefore, the cubes surface is entirely covered with isocubelets. The cubelets are painted in six different colours, and it is possible to create a design where each face shows only one colour. Such is the object of the game: to turn the cubelets and sections of the cube so that only one (different) colour shows on each one of the six faces. If one manages to master the puzzle, the cube will show six faces of the same size, each coloured differently. The cubelets and sections of the cube can be turned both horizontally and vertically in order to change colours while trying to determine the appropriate combination to complete the puzzle. This approach is linked to a particular function in microeconomics that deals with the relationship between two magnitudes: on the one hand, the moves needed to achieve the desired final design; and on the other hand, the cost linked to the required production processes. This analytical model must use combinatorial mathematics equipment because, after all, the key factor in solving the Rubiks cube is the way in which the cubelets and sections are arranged.

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