Fuzzy Set Approach to Multidimensional Poverty Measurement

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Publisher : Springer Science & Business Media
ISBN 13 : 0387342516
Total Pages : 285 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Fuzzy Set Approach to Multidimensional Poverty Measurement by : Achille A. Lemmi

Download or read book Fuzzy Set Approach to Multidimensional Poverty Measurement written by Achille A. Lemmi and published by Springer Science & Business Media. This book was released on 2006-12-06 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume brings together advanced thinking on the multidimensional measurement of poverty. This includes the theoretical background, applications to cross-sections using contemporary European examples, and longitudinal aspects of multidimensional fuzzy poverty analysis that pay particular attention to the transitory, or impermanent, conditions that often occur during transitions to market economies. The research is up-to-date and international.

Multidimensional Poverty Measurement and Analysis

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Publisher : OUP Oxford
ISBN 13 : 0191003638
Total Pages : 369 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Multidimensional Poverty Measurement and Analysis by : Sabina Alkire

Download or read book Multidimensional Poverty Measurement and Analysis written by Sabina Alkire and published by OUP Oxford. This book was released on 2015-06-04 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multidimensional poverty measurement and analysis is evolving rapidly. Notably, it has informed the publication of the Multidimensional Poverty Index (MPI) estimates in the Human Development Reports of the United Nations Development Programme since 2010, and the release of national poverty measures in Mexico, Colombia, Bhutan, the Philippines and Chile. The academic response has been similarly swift, with related articles published in both theoretical and applied journals. The high and insistent demand for in-depth and precise accounts of multidimensional poverty measurement motivates this book, which is aimed at graduate students in quantitative social sciences, researchers of poverty measurement, and technical staff in governments and international agencies who create multidimensional poverty measures. The book is organized into four elements. The first introduces the framework for multidimensional measurement and provides a lucid overview of a range of multidimensional techniques and the problems each can address. The second part gives a synthetic introduction of 'counting' approaches to multidimensional poverty measurement and provides an in-depth account of the counting multidimensional poverty measurement methodology developed by Alkire and Foster, which is a straightforward extension of the well-known Foster-Greer-Thorbecke poverty measures that had a significant and lasting impact on income poverty measurement. The final two parts deal with the pre-estimation issues such as normative choices and distinctive empirical techniques used in measure design, and the post-estimation issues such as robustness tests, statistical inferences, comparisons over time, and assessments of inequality among the poor.

Analysis of Socio-Economic Conditions

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Publisher : Routledge
ISBN 13 : 1000363546
Total Pages : 251 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Analysis of Socio-Economic Conditions by : Gianni Betti

Download or read book Analysis of Socio-Economic Conditions written by Gianni Betti and published by Routledge. This book was released on 2021-03-22 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Showcasing fuzzy set theory, this book highlights the enormous potential of fuzzy logic in helping to analyse the complexity of a wide range of socio-economic patterns and behaviour. The contributions to this volume explore the most up-to-date fuzzy-set methods for the measurement of socio-economic phenomena in a multidimensional and/or dynamic perspective. Thus far, fuzzy-set theory has primarily been utilised in the social sciences in the field of poverty measurement. These chapters examine the latest work in this area, while also exploring further applications including social exclusion, the labour market, educational mismatch, sustainability, quality of life and violence against women. The authors demonstrate that real-world situations are often characterised by imprecision, uncertainty and vagueness, which cannot be properly described by the classical set theory which uses a simple true–false binary logic. By contrast, fuzzy-set theory has been shown to be a powerful tool for describing the multidimensionality and complexity of social phenomena. This book will be of significant interest to economists, statisticians and sociologists utilising quantitative methods to explore socio-economic phenomena.

Multidimensional Poverty Decomposition

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Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (879 download)

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Book Synopsis Multidimensional Poverty Decomposition by : Stéphane Mussard

Download or read book Multidimensional Poverty Decomposition written by Stéphane Mussard and published by . This book was released on 2007 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multidimensional Poverty, Approach by the Fuzzy Set Theory

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Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Multidimensional Poverty, Approach by the Fuzzy Set Theory by : Arnold Fottsoh Fokam

Download or read book Multidimensional Poverty, Approach by the Fuzzy Set Theory written by Arnold Fottsoh Fokam and published by . This book was released on 2015 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study allowed us to measure poverty in terms of living conditions by using the fuzzy sets theory and breaking down this poverty by household characteristics. Subsequently, we evaluated the impact of the administration of land and the type of practiced cultures on the living conditions of cocoa farmer households. To make this, we have constructed a multidimensional poverty index with Multiple Component Analysis (MCA) and the fuzzy set theory. By using data from departments of Soubre and Gueyo from the survey on cocoa production systems and livelihoods of populations in areas of cocoa production, conducted by National School of Statistics and Applied Economics (NSSAE) of Abidjan, we evaluated to 43.25% the level of deprivation of the households in these cocoa farmer two cities. We also found that the main dimensions of displacement, ownership of durable goods, education, agricultural equipment, access to finance and training are the key drivers of poverty in households of cocoa farmers of Soubre and Gueyo. Similarly, associating other cultures to cocoa and the fact to own their land improve the living conditions of households cocoa farmers in these two cities.

Measuring Multidimensional Poverty

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Measuring Multidimensional Poverty by : Joseph Deutsch

Download or read book Measuring Multidimensional Poverty written by Joseph Deutsch and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper makes a systematic comparison of four approaches to multidimensional poverty analysis based respectively on the theory of fuzzy sets, information theory, efficiency analysis and axiomatic derivations of poverty indices. The database was the 1995 Israeli Census that provided information on the ownership of various durable goods. There appears to be a fair degree of agreement between the various multidimensional poverty indices concerning the identification of the poor households. The four approaches have also shown that poverty decreases with the schooling level of the head of the household, first decreases and then increases with his/her age and with the size of the household. Poverty is higher when the head of the household is single and lower when he/she is married, lowest when the head of the household is Jewish and highest when he/she is Muslim. Poverty is also higher among households whose head immigrated in recent years, does not work or lives in Jerusalem. These observations were made on the basis of logit regressions. This impact on poverty of many of the variables is not very different from the one that is observed when poverty measurement is based only on the income or the total expenditures of the households.

Multidimensional Poverty Measurement and Analysis

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Author :
Publisher : Oxford University Press, USA
ISBN 13 : 0199689490
Total Pages : 369 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Multidimensional Poverty Measurement and Analysis by : Sabina Alkire

Download or read book Multidimensional Poverty Measurement and Analysis written by Sabina Alkire and published by Oxford University Press, USA. This book was released on 2015 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic conceptual, theoretical, and methodological introduction to multi-dimensional poverty measurement and analysis. It provides a lucid overview of the problems that a range of multidimensional techniques can address and sets out a synthetic introduction of counting and axiomatic approaches to multidimensional poverty measurement

Research Handbook on Measuring Poverty and Deprivation

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Publisher : Edward Elgar Publishing
ISBN 13 : 1800883455
Total Pages : 777 pages
Book Rating : 4.8/5 (8 download)

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Book Synopsis Research Handbook on Measuring Poverty and Deprivation by : Jacques Silber

Download or read book Research Handbook on Measuring Poverty and Deprivation written by Jacques Silber and published by Edward Elgar Publishing. This book was released on 2023-03-02 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Encompassing chapters that address both unidimensional and multidimensional poverty, this timely Research Handbook explores all aspects of poverty and deprivation measurement, not only detailing broad issues but also scrutinising specific domains and aspects of poverty, such as health, energy and housing. Its succinct and highly focussed chapters, written by a diverse range of authors, employ a combination of theoretical and empirical methodologies to offer well-rounded explorations of complex topics.

Analyzing Multidimensional Well-Being

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Publisher : John Wiley & Sons
ISBN 13 : 1119256909
Total Pages : 330 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Analyzing Multidimensional Well-Being by : Satya R. Chakravarty

Download or read book Analyzing Multidimensional Well-Being written by Satya R. Chakravarty and published by John Wiley & Sons. This book was released on 2017-11-20 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: “An indispensable reference for all researchers interested in the measurement of social welfare. . .” —François Bourguignon, Emeritus Professor at Paris School of Economics, Former Chief Economist of the World Bank. “. . .a detailed, insightful, and pedagogical presentation of the theoretical grounds of multidimensional well-being, inequality, and poverty measurement. Any student, researcher, and practitioner interested in the multidimensional approach should begin their journey into such a fascinating theme with this wonderful book.” —François Maniquet, Professor, Catholic University of Louvain, Belgium. A Review of the Multidimensional Approaches to the Measurement of Welfare, Inequality, and Poverty Analyzing Multidimensional Well-Being: A Quantitative Approach offers a comprehensive approach to the measurement of well-being that includes characteristics such as income, health, literacy, and housing. The author presents a systematic comparison of the alternative approaches to the measurement of multidimensional welfare, inequality, poverty, and vulnerability. The text contains real-life applications of some multidimensional aggregations (most of which have been designed by international organizations such as the United Nations Development Program and the Organization for Economic Co-operation and Development) that help to judge the performance of a country in the various dimensions of well-being. The text offers an evaluation of how well a society is doing with respect to achievements of all the individuals in the dimensions considered and clearly investigates how achievements in the dimensions can be evaluated from different perspectives. The author includes a detailed scrutiny of alternative techniques for setting weights to individual dimensional metrics and offers an extensive analysis into both the descriptive and welfare theoretical approaches to the concerned multi-attribute measurement and related issues. This important resource: • Contains a synthesis of multidimensional welfare, inequality, poverty, and vulnerability analysis • Examines aggregations of achievement levels in the concerned dimensions of well-being from various standpoints • Shows how to measure poverty using panel data instead of restricting attention to a single period and when we have imprecise information on dimensional achievements • Argues that multidimensional analysis is intrinsically different from marginal distributions-based analysis Written for students, teachers, researchers, and scholars, Analyzing Multidimensional Well-Being: A Quantitative Approach puts the focus on various approaches to the measurementof the many aspects of well-being and quality of life. Satya R. Chakravarty is a Professor of Economics at the Indian Statistical Institute, Kolkata, India. He is an Editor of Social Choice and Welfare and a member of the Editorial Board of Journal of Economic Inequality.

FUZZY DECISION MAKING TOOLS TO SIEVE OUT THE POOR IN NALANDA DISTRICT, BIHAR

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Author :
Publisher : Horizon Books ( A Division of Ignited Minds Edutech P Ltd)
ISBN 13 : 8194823161
Total Pages : 204 pages
Book Rating : 4.1/5 (948 download)

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Book Synopsis FUZZY DECISION MAKING TOOLS TO SIEVE OUT THE POOR IN NALANDA DISTRICT, BIHAR by : Raj Kumar

Download or read book FUZZY DECISION MAKING TOOLS TO SIEVE OUT THE POOR IN NALANDA DISTRICT, BIHAR written by Raj Kumar and published by Horizon Books ( A Division of Ignited Minds Edutech P Ltd). This book was released on 2021-03-31 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author is glad to present to the readers, the book titled “Fuzzy Decision Making Tools to Sieve out the Poor in Nalanda District, Bihar”. The book is all about ‘how to identify and how to aggregate the poor’ in any given socio-economic context or condition, using the concept of Fuzzy Logic and Fuzzy Sets. This book will serve research students in applied mathematics and it will also be helpful to those who are involved in making socio-economic decision to distribute the resources available at their disposal. Why and How this book came into Being Decision making over the issue of ‘how to measure poverty’ has always been the subject of contentious debate for an economist, for a government, for a statistician, for a mathematician, or for any socio-economic plan. Several Decision Methods have been adopted to decide who would be considered poor or who would not. For examples: (i) Absolute and Relative Poverty Line Method, (ii) Uni- dimension poverty Method (iii) Income-Expenditure Method (iv) Head Count Ratio (HCR), (v) Income Gap Ratio (IGR) (vi) Poverty Gap Ratio (PGR), (vii) Advance Measure Method: – Foster-Greer-Thorbecke Measure, Sen – Shorrocks – Thon measure (SST), and Sen Index (viii) Multi-dimensional Poverty Approach :- (i) Counting Multi-dimensional Poverty (ii) Multi-dimensional Poverty Index (MPI) , and (iii) Capability Approach. These above mentioned methods were used at the global level. Identification of poor and non-poor in India is done based on Uni-dimensional model that is to say Income-consumption and expenditure model using following experts committee reports: (i) Dandekar and Rath (ii) Y.K. Alagh (iii) Lakdawala (iii) Suresh Tendulkar Committee (iv) C. Rangarajan Committee:- Modified Mixed Reference Period (MMRP), Poverty Line Basket (PLB), and Socio-Economic and Caste Census (SECC) 2011: BPL Identification in 2015. Nevertheless, every state in India is free to set its own standard of method to scale out the poor. The state of Bihar adopted the method of A Score Based Ranking Methodology to identify the poor. In Mathematical Modelling context all the above mentioned methods of making decisions fall under Crisp Decision Approach based on Aristotelian logic and Crisp Sets. In response to this method of decision making approach, fuzzy decision making approach was suggested as a better alternative to the process of poverty measurement method. Andrea Cerioli and Sergio Zani were the first one to apply fuzzy logic to poverty assessment in the year 1990. Later, Chiappero Martinetti and Qizilbash added the intrinsic vagueness of being poor by using so – called membership function for the identification of the poor. As the research continued further some more methods were addressed such as Totally Fuzzy (TF), Totally Fuzzy and Relative (TFR), Integrated Fuzzy Approach (Multidimensional and Longitudinal) to apply to identify and aggregate the poor. Key Concepts and Techniques This book further develops and introduces a new approach suggesting Multi-Criteria Fuzzy Decision-making Tools and Fuzzy Set Theory to capture the extent of poverty of households accommodating both the quantitative and qualitative factors such as Roti (Food), Kapda (Clothing), Makaan (Housing), Kaam (Job), and Samman (Social Status) and their fourteen respective sub-criteria. The fuzzification process is carried out by using Pentagonal Fuzzy Numbers (PFNs) and by introducing Stratified Fuzzy Analytical Hierarchy Process (SFAHP). Fuzzy poverty categorization is carried out by introducing Fuzzy Sieve Technique (FST). The judgment and scaling of the criteria and sub-criteria are done by adopting participative decision making method (interview method based on questionnaires). Stratified Fuzzy Analytical Hierarchy Process (SFAHP) categorizes the group of the poor into five subgroups such as (i) very poor, (ii) almost very poor (iii) poor, (iv) rather poor and (v) non-poor. Our fuzzy tools and methods are applied to the case study in Nalanda District, Bihar, India. The book also highlights the comparative studies between three models such as Analytical Hierarchy Process (AHP), Fuzzy Analytical Hierarchy Process (FAHP) and Stratified Fuzzy Analytical Hierarchy Process (SFAHP). The final results justify that Stratified Fuzzy Analytical Hierarchy Process (SFAHP) gives better results in identifying the Poverty Status. Special Features Computer Algorithmic approach via MATLAB: (Programme for 5 X 5 Matrix) is given to calculate the fuzzy centre value by using Matlab m-file which will minimize the time in carrying out the fuzzification and normalization process to measure poverty status. At the end the author shall ever be grateful to the inquisitive researchers and socio-economic planners for their valuable suggestions for further improvement of this book. DR. RAJ KUMAR St. Xavier’s College of Management and Technology, Patna Digha Ashiyan Road -11. Affliated to AKU, Patna, Bihar, India

Quantitative Approaches to Multidimensional Poverty Measurement

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Author :
Publisher : Springer
ISBN 13 : 0230582354
Total Pages : 290 pages
Book Rating : 4.2/5 (35 download)

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Book Synopsis Quantitative Approaches to Multidimensional Poverty Measurement by : N. Kakwani

Download or read book Quantitative Approaches to Multidimensional Poverty Measurement written by N. Kakwani and published by Springer. This book was released on 2008-02-21 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written in light of the latest developments in the field of multidimensional poverty measurement. It includes clear presentations of more than a dozen different quantitative techniques and provides empirical illustrations based on data sources from developed or developing countries.

Poverty, Social Exclusion and Stochastic Dominance

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Publisher : Springer Nature
ISBN 13 : 9811334323
Total Pages : 259 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Poverty, Social Exclusion and Stochastic Dominance by : Satya R. Chakravarty

Download or read book Poverty, Social Exclusion and Stochastic Dominance written by Satya R. Chakravarty and published by Springer Nature. This book was released on 2019-10-15 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book honors the memory of Tony Atkinson, who made significant contributions to the rigorous study of income inequality, poverty, and redistribution. These essays presented, covering a span of over 30 years of research and scholarship, have been at the forefront of distributional analysis, and many of them are of prime importance for contemporary developments in the real-valued measurement of poverty and inequality, with particular reference to the concepts of fuzzy poverty assessment, vulnerability, heterogeneity/multidimensionality, unit consistency, sub-group decomposability, and dominance criteria. While all of these articles have been previously published—singly or with co-authorship—in a number of professional journals or distinguished edited volumes, this book is greatly enriched by a substantial introductions by the authors, which place the contributions in context, highlights their inter-connectedness, and relates them to the work of Tony Atkinson and other scholars. This book is of intrinsic value to welfare analysts, as well as being a tribute to a very great scholar by a fellow economist.

China's War against the Many Faces of Poverty

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Publisher : Routledge
ISBN 13 : 1317591844
Total Pages : 368 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis China's War against the Many Faces of Poverty by : Jing Yang

Download or read book China's War against the Many Faces of Poverty written by Jing Yang and published by Routledge. This book was released on 2016-03-10 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: China’s War against the Many Faces of Poverty measures multidimensional poverty in China and deprivation related to income, education, health issues, living standards and social security. The book adopts a well-developed methodology using three different empirical datasets to analyse aspects of regional diversity across rural and urban and migrant populations of China. The book also analyses the links between development policies considered by the government and the various facets of poverty in light of rapid economic growth and addresses important policy implications. In the existing literature, in-depth research on multidimensional poverty in China is almost non-existent. This book is a pioneer study in this important field of research. With its innovative approach in concepts and methodologies and in its analysis of policy implications make this book a definitive and valuable addition to the literature.

Analysis of Poverty Data by Small Area Estimation

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Publisher : John Wiley & Sons
ISBN 13 : 1118815017
Total Pages : 485 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Analysis of Poverty Data by Small Area Estimation by : Monica Pratesi

Download or read book Analysis of Poverty Data by Small Area Estimation written by Monica Pratesi and published by John Wiley & Sons. This book was released on 2016-02-23 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to implementing SAE methods for poverty studies and poverty mapping There is an increasingly urgent demand for poverty and living conditions data, in relation to local areas and/or subpopulations. Policy makers and stakeholders need indicators and maps of poverty and living conditions in order to formulate and implement policies, (re)distribute resources, and measure the effect of local policy actions. Small Area Estimation (SAE) plays a crucial role in producing statistically sound estimates for poverty mapping. This book offers a comprehensive source of information regarding the use of SAE methods adapted to these distinctive features of poverty data derived from surveys and administrative archives. The book covers the definition of poverty indicators, data collection and integration methods, the impact of sampling design, weighting and variance estimation, the issue of SAE modelling and robustness, the spatio-temporal modelling of poverty, and the SAE of the distribution function of income and inequalities. Examples of data analyses and applications are provided, and the book is supported by a website describing scripts written in SAS or R software, which accompany the majority of the presented methods. Key features: Presents a comprehensive review of SAE methods for poverty mapping Demonstrates the applications of SAE methods using real-life case studies Offers guidance on the use of routines and choice of websites from which to download them Analysis of Poverty Data by Small Area Estimation offers an introduction to advanced techniques from both a practical and a methodological perspective, and will prove an invaluable resource for researchers actively engaged in organizing, managing and conducting studies on poverty.

Membership Functions for Fuzzy Poverty Measurement

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Author :
Publisher : Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
ISBN 13 : 9783631499863
Total Pages : 0 pages
Book Rating : 4.4/5 (998 download)

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Book Synopsis Membership Functions for Fuzzy Poverty Measurement by : Ralf A. Lütz

Download or read book Membership Functions for Fuzzy Poverty Measurement written by Ralf A. Lütz and published by Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften. This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally presented as the author's thesis (doctoral)--Universiteat Kiel, 1996.

Handbook of Research on Economic and Social Well-Being

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Author :
Publisher : Edward Elgar Publishing
ISBN 13 : 1781953716
Total Pages : 609 pages
Book Rating : 4.7/5 (819 download)

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Book Synopsis Handbook of Research on Economic and Social Well-Being by : Conchita D’Ambrosio

Download or read book Handbook of Research on Economic and Social Well-Being written by Conchita D’Ambrosio and published by Edward Elgar Publishing. This book was released on 2018-03-30 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has been characterized by a burgeoning interest in new concepts of individual and social well-being. The impetus for this new research has stemmed from increased demand from policy makers and civil society for measures of progress that go beyond the traditional measures of GDP, as well as improved datasets allowing individuals and households to be tracked over their life course. The aim of this Handbook is to chart these developments and provide extensive surveys of many of the recent themes that have emerged in the research literature. Some of the topics addressed include poverty. relative deprivation and satisfaction, economic insecurity, social exclusion and inequality, income and social polarization, and social fractionalization and diversity. Each topic is first analyzed from a theoretical perspective, followed by detailed empirical discussion.

Analysis of Socio-Economic Conditions

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Author :
Publisher : Routledge
ISBN 13 : 1000363465
Total Pages : 363 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Analysis of Socio-Economic Conditions by : Gianni Betti

Download or read book Analysis of Socio-Economic Conditions written by Gianni Betti and published by Routledge. This book was released on 2021-03-30 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Showcasing fuzzy set theory, this book highlights the enormous potential of fuzzy logic in helping to analyse the complexity of a wide range of socio-economic patterns and behaviour. The contributions to this volume explore the most up-to-date fuzzy-set methods for the measurement of socio-economic phenomena in a multidimensional and/or dynamic perspective. Thus far, fuzzy-set theory has primarily been utilised in the social sciences in the field of poverty measurement. These chapters examine the latest work in this area, while also exploring further applications including social exclusion, the labour market, educational mismatch, sustainability, quality of life and violence against women. The authors demonstrate that real-world situations are often characterised by imprecision, uncertainty and vagueness, which cannot be properly described by the classical set theory which uses a simple true–false binary logic. By contrast, fuzzy-set theory has been shown to be a powerful tool for describing the multidimensionality and complexity of social phenomena. This book will be of significant interest to economists, statisticians and sociologists utilising quantitative methods to explore socio-economic phenomena.