Differentiation of the Choquet Integral and Its Application to Long-term Debt Ratings

Author(s):  
Toshihiro Kaino ◽  
◽  
Kaoru Hirota

Differentiation of the Choquet integral of a nonnegative measurable function with respect to a fuzzy measure on fuzzy measure space is proposed and it is applied to the capital investment decision making problem by Kaino and Hirota. In this paper, differentiation of the Choquet integral of a nonnegative measurable function is extended to differentiation of the Sipos Choquet integral of a measurable function and its properties will be discussed. First, the real interval limited Schmeidler Choquet integral and Sipos Choquet integral are defined for preparation, then the upper differential coefficient, the lower differential coefficient, the differential coefficient, and the derived function of the Choquet integral along the range of an integrated function are defined by the limitation process of the interval limited Choquet integral. Two examples are given, where the measurable functions are either a simple function or a triangular function. Basic properties of differentiation about swn and multiple with constant, addition, subtraction, multiplication, and division are shown. Then, the Choquet integral is applied to long-term debt ratings model, where the input is qualitative and quantitative data of corporations, and the output is Moody’s long-term debt ratings. The fuzzy measure, which is given as the importance of each qualitative and quantitative data, is derived from a neural net method. Moreover, differentiation of the Choquet integral is applied to the long-term debt ratings, where this differentiation indicates how much evaluation of each specification influence to the rating of the corporation.

Author(s):  
Toshihiro Kaino ◽  
◽  
Ken Urata ◽  
Shinichi Yoshida ◽  
Kaoru Hirota ◽  
...  

Improved long-term debt rating model using Choquet integral is proposed, where the input is qualitative and quantitative data of the corporations, and the output is the Moody's long-term debt ratings. The fuzzy measure, which is given as the importance of each qualitative and quantitative data, is derived from a neural net method. Moreover, differentiation of the Choquet integral is applied to the long-term debt ratings, where this differentiation indicates how much evaluation of each specification influence to the rating of the corporation. A long-term debt rating model using Choquet integral was proposed by Kaino and Hirota [1]. Under the ambiguous information which couldn't be expressed by the statistics model, this Kaino and Hirota model [1] enabled analysis of the amount of influences of a specific variable, and showed the new possibility in the field of credit risk measurement. However, in order to develop a practical system for small and medium-sized corporations with many needs, this model must be improved so that it may correspond to the changing market or many types of industry. Moreover, this model is modified by the implementation of actual rating provider's similar process to raise the relevance ratio. The advanced model proposed herein corporations than the model is more precise than conventional model using 2-layer type neural network model.


2010 ◽  
Vol 30 (3) ◽  
pp. 95-106
Author(s):  
R.C. Plotnikoff ◽  
P. Lightfoot ◽  
S. McFall ◽  
C. Spinola ◽  
S.T. Johnson ◽  
...  

Objective To assess the feasibility of employing an ecologically guided childhood obesity relevant surveillance system. Methods Cross-sectional qualitative and quantitative data were collected from 31 organizational representatives across 28 unique organizations and/or departments from three purposively sampled communities in the Capital Health Region in Alberta, Canada. Results All the organizational representatives surveyed reported awareness of childhood obesity and 36% reported participation in child obesity initiatives. Data to support a surveillance system are available but not in a suitable format, and privacy legislation present significant barriers. Interest in developing and sustaining an ecologically based surveillance system was low (18%). Conclusion Due to the heterogeneity of available data and limited vision for the development and implementation of a surveillance system, the application of an ecologically based surveillance system relevant to childhood obesity may be constrained. Broad-based awareness of childhood obesity by a wide range of organizations could assist in establishing an effective coalition to address this issue over the long term by supporting the establishment of a surveillance system.


Author(s):  
Patrick Hillebrand ◽  
Markus Westner

AbstractAlthough the average tenure of CIOs has increased over the last years, the majority of CIOs have been in their positions for only three years or less. Nevertheless, some CIOs have been successful in their position for a long time. In this study, we use tenure as a proxy for success as a CIO. The goal of this paper is to examine factors that are critical to the success of long-term CIOs. For this purpose, we created and analyzed resumes of 384 CIOs. Out of these 384, we conducted 19 interviews with CIOs from top-tier companies and collected and analyzed both qualitative and quantitative data. In the process, we were able to identify nine factors that are critical for the success (CSF) of CIOs. These factors fall into three categories. Category “Personality” includes “Accepting and embracing change” (CSF #1), “Being perseverant to pursue long-term goals” (CSF #2), “Anticipating the future through visionary thinking” (CSF #3), and “Being empathetic to deal with uncertainty felt by co-workers” (CSF #4). The “Role Fulfilment” category includes “Cross-functional involvement and integration of the IT organization” (CSF #5), “Positioning and restructuring of the IT organization” (CSF #6), and “Well-connected and communicative leadership” (CSF #7). The “Organizational Environment” category consists of “Availability of skilled workforce” (CSF #8) and “Reporting line to the CEO” (CSF #9). CSFs 1, 2, and 3 were perceived as most important by the participating CIOs. The results may be of particular interest both to aspiring CIOs and equally their employing organizations, as they reflect what long-term CIOs value during their time in office.


2018 ◽  
Vol 1 (1) ◽  
pp. 17
Author(s):  
Ozlem Dogan

<p><em>There are so many factors which affect the learners when learning second language. Age, motivation of the learners, the ability to acquire language, cognitive development as the factors affect learning second language. When learners start at a young age the other factors are affected positively. The researcher aimed to search the importance of age when learning foreign language. She made a questionnaire with 52 volunteers; 26 of them are students at Foreign Language Department in Uludag University, 26 of them are parents. And she also interviewed with teachers. She carried out this study by collecting the qualitative and quantitative data. The research has shown that </em><em>“</em><em>Age</em><em>”</em><em> is important factor when learning second language. Person who learned second language at a young age has a lot of advantages in long term. The researcher chose this subject because she thought that learning second language at a young age is easier inasmuch as language acquisition is available. She wanted to learn thoughts of parents, students in Foreign Language Departments, teachers. She revealed the thought of </em><em>“</em><em>the younger the better</em><em>”</em><em> by making interview with teachers and making a questionnaire with parents and students in Foreign Language Departments. The researcher corroborate her theory by looking at these results.</em></p>


2019 ◽  
Author(s):  
Ivani Amelia ◽  
Afriyeni Afriyeni

The purpose of this study was conducted to determine the level of solvency PT. BPD of West Sumatra in 2013 - 2015. The method used is the method of Qualitative and Quantitative. Data collection was done by secondary data such as financial statements. BPD of West Sumatra. The results could be seen in 2013 to 2015 with the average - average Debt to Total Assets Ratio is obtained by 89.86%, while the ratio of Debt to Equity Ratio in 2013 to 2015 obtained by the average - average ratio of 923.08%, Ratio Long term Debt to Equity ratio in 2013 to 2015 obtained by 55.27%, and the ratio time Interest earned in 2013 to 2015 obtained by the average - average of 0.42 times. Thus we can conclude that the solvency ratio of PT. BPD good because PT. BPD of West Sumatra able to pay off the entire debt both from the company and from the company's capital assets owned.


Author(s):  
Toshihiro Kaino ◽  
◽  
Kaoru Hirota ◽  

In applications using fuzzy measures (on real numbers), it becomes a problem how to evaluate in-between intervals each characterized by a fuzzy measure, especially when the Choquet integral is differentiated in real world problems. A composite fuzzy measure built from fuzzy measures defined on fuzzy measurable spaces has been proposed by Kaino and Hirota using composite fuzzy weights, where the measurable space of this composite fuzzy measure is the direct sum of measurable spaces. An associative, composite fuzzy measure built from a finite number of fuzzy measures is proposed and, in a constructive application, it is applied to the automobile plant capital investment decision-making problem. It is assumed that an automobile company plans to sell a new car. The current plant line has a capacity of 3,200 new cars in addition to current car lines. Using this composite fuzzy measure, differentiation of the Choquet integral becomes a quantitative index for decision-making, which is confirmed by this decision-making experiment.


Author(s):  
Renita Prera Winsen

பேராக் மாநிலத்தில் தைப்பிங் மாவட்டத்தில் அமைந்துள்ள ஓர் இடைநிலைப்பள்ளியில் திருக்குறள் கற்றலின் வழி படிவம் 2 மாணவர்களின் உயர்நிலைச் சிந்தனைத் திறனை மேம்படுத்தும் முயற்சியில் ஆய்வு மேற்கொள்ளப்பட்டது. தேர்ந்தெடுக்கப்பட்ட 10 மாணவர்கள் இந்த ஆய்வில் உட்படுத்தப்பட்டனர். திருக்குறளில் மாணவர்களின் ஆளுமையைக் கண்டறிய அந்த இடைநிலைப்பள்ளியின் தமிழாசிரியரிடம் நேர்காணல் நடத்தப்பட்டது. மாணவர்களின் உயர்நிலைச் சிந்தனைத் திறனை மேம்படுத்த படிவம் 1 மற்றும் படிவம் 2-இல் வரையறுக்கப்பட்ட ஆறு திருக்குறள்கள் தேர்தெடுக்கப்பட்டன. தேர்ந்தெடுக்கப்பட்ட திருக்குறள்கள் யாவும் சீரமைக்கப்பட்ட புளூமின் அறிவுசார் முறைப்பாட்டியலின் துணைக்கொண்டு பலதரப்பட கேள்விகள் தயாரிக்கப்பட்டது. ஆறு வாரத் திருக்குறள் வகுப்பிற்குப் பின் இக்கேள்விகள் யாவும் மாணவர்களுக்கு வழங்கப்பட்டன. கேள்விக்கான பதில்களிலிருந்து மாணவர்களின் உயர்நிலைச் சிந்தனைத் திறனில் ஏற்பட்ட மாற்றங்கள் கண்டறியப்பட்டது. ஆய்வின் முடிவாக, முறையான திருக்குறள் கற்றலின் வழி மாணவர்களின் உயர்நிலைச் சிந்தனைத் திறனை மேம்படுத்த முடியும் என்பது உறுதிச் செய்யப்பட்டது. (This study has been conducted with the purpose of improving the level of HOTS (Higher order thinking skills) of Form 2 students through learning Thirukkural. For this study, the Thirukkural, a well-known literary work of Tamil Language was taken. Thus, this research was carried out in a secondary school which is located at Taiping, Perak. The research was carried out under the design of action research. The sample of this study consisted of ten Form 2 students. Besides that, a teacher also interviewed in order to know the students' personality in learning Thirukkural. In this research, the learning process of Thirukkural approach was implemented for 6 weeks. There are 6 couplets of Thirukkural selected according to the syllabus of Form 1 and Form 2. This six couplets of Thirukkural used to test the level of HOTS. The questions were created based on Thirukkural, according to Revised Bloom's Taxonomy. The data of the study was collected through pre-test, the questions asked in Thirukkural classes and post-test via qualitative and quantitative data collection tools. The findings obtained through qualitative and quantitative data collections showed that the level of HOTS through learning Thirukkural among Form 2 students has improved.)


Sign in / Sign up

Export Citation Format

Share Document