Indices de Bienestar mediante Logica Difusa

Business Systems Laboratory 3rd International Symposium

ADVANCES IN BUSINESS MANAGEMENT. TOWARDS SYSTEMIC APPROACH

FUZZY LOGIC AND THE WELL-

BEING INDEX IN CHIHUAHUA,

MÉXICO

Virginia Ibarvo Urista

Instituto Tecnológico de Chihuahua

Perugia, Italy - January 21-23, 2015



Wellbeing as qualitative data

Ethnography is considered a type of qualitative

research.

This is a problem, when trying to understand

aspects as the wellbeing of a population they´re

qualify as "fuzzy“.

Wellbeing is something that goes beyond an

indicator, it is part of a cultural and

evolutionary process.




What is happiness for a population?

It is so multidimensional and complex as life

itself.

Not only money or earnings are the main

subjects.

“BEYOND GDP” is new economic theory has

suggested a wide movement.




Robert F. Kennedy Address, University

of Kansas, Lawrence, Kansas, March

18, 1968

GDP is not enough to measure the well-

being of a people

http://www.rfkmemorial.org/



How to measure the Invisible?

Amarthya Sen , Nobel Prize 1998 in

economic has created an index of human

development.

He was the initiator of a new approach to

define a multidimensional welfare.

He creates in 1980

“The capabilities approach”



What´s Wellbeing??

Wellbeing is made by quality of life for us, our

family, our children our parents, by quality of

work, that is equal opportunity of career,

opportunity to work in a safe place,

opportunity of work-life balance and so on.




Background of the research

UN “Human development index

Expectancy at birth

Mean years of schooling

Expected years of schooling

Gross national income per capita


Country Human development

Index

HDI ranks

México .756 71

Italy .872 26

United State .914 5





Background of the research continue…

OECD

Housing (conditions and spending)

Income (household income and financial wealth)

Jobs (Earnings, job security and unemployment)

Community (Quality of your social support network)

Education (Education and what get out of it)

Environment




Better life index OECD continue..

Civic Engagement (Involvement in democracy)

Health (how healthy they are)

Life satisfaction (how happy are you)

Safety (Murder and assault rates)

Work-Life Balance (How much you work, how much

you play)







Research Objective

Apply the method of Fuzzy Logic to subjective subjects such as wellbeing, as a model for application in various administrative problems.

How to describe the index wellbeing of a population?

Which are the variables that should be involved in the

development indicator?

How to convert crisp values obtained in field research,

in fuzzy values that give an appropriate linguistic

result?




What´s Fuzzy Logic







Definition of Fuzzy Logic

Fuzzy logic is a form of many valued logic; it

deals with reasoning that is approximate

rather than fixed and exact. Compared to

traditional binary sets (where variables may

take on True or false values), fuzzy logic

variables may have a truth values that ranges

in degree between 0 and 1. Tarski.


http://en.wikipedia.org/wiki/Alfred_Tarski



Dimensions of the research Based on OECD studies and Human Development

by UN and some country -level investigations

took five dimensions :

Housing Conditions

Health Conditions

Income

Education

Psychological perception about their quality of

life




Methodology

A sample of 2012 surveys in 184 AGEB´S (Basic

Geo statistics Area)

Standardization of the last

results summarized by AGEBS

Describe the distribution

of the crispy data.

Use the program Math lab

to calculate the fuzzy logic


Define the distribution of hard data



Continue Methodology

Define the membership

functions.

Add input variable to fuzzy

inference system.

Specified the fuzzy rules.

Determine the output

variables.

Perform fuzzy inference

calculations.





Fuzzy System

Current

variable

Type Range Current membership

Membership

Function Type

Health Input 6 , 36 L, M, Hi-M, Hi Gauss 2mf

Housing Input 2 , 30 L, M, Hi-M, Hi Gauss 2mf

Income Input -10 , 44 L, M, Hi-M, Hi Gauss 2mf

Education Input 2 , 17 L, M, Hi-M, Hi Gauss 2mf

Psychologic

al

Input 50, 112 L, M, Hi-M, Hi Gauss 2mf

Wellbeing Output 105 ,162 Level, L,M, Hi-M,Hi Triangular






“Results”…..







Continue “Results”…..




Findings

The study in general, offered better results

when compared with crisp data by means of

regression analyses, the last results were more

close to the reality. This advantage is evident

when comparing the outcome in terms of

linguistic meaning by using fuzzy experts

system provides more variability in the

obtained results.




Grazie

Gracias

Thank [email protected]


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