The new impulse from European Commission’s “Beyond GDP” and the Stiglitz, Sen and Fitoussi’s report renewed the necessity to define new indicators of wellbeing that go beyond GDP, and increased the need of measuring complex dimensions of living not measurable with classical techniques. Concepts as quality of life, child well being, health are mediated by human perception and intangible evaluation. A fuzzy logic approach gives the opportunity to face these problems thanks to its capability to work in a framework of uncertainty, ambiguity and vague information, situations that are typical of social and human problems. This paper provides the results based on different socioeconomic surveys with the use of fuzzy logic.

In this paper we propose a new evaluation/defuzzification formula for an Interval Type-2 Fuzzy Quantity (IT2 FQ), that is an Interval Type-2 Fuzzy Set (IT2 FS) defined by two Type-1 Fuzzy Quantities (T1 FQs) having membership functions that may be neither convex nor normal. We start from a parametric formula to evaluate them and we propose to call the IT2 FQ value their average. To compare the results we obtain changing the parameters, we use the final output of an example of Interval Type-2 Fuzzy Logic System (IT2 FLS).

In this paper we deal of the method to evaluate the health level in Italy. This method SF12 has been proposed by US administration for his population and the major part of the world now, use the same method. This paper deals with the problem this approach may present and proposes a new method based on fuzzy logic.

In this paper we propose a parametric way to associate to an interval-valued fuzzy set its evaluation useful for its ranking. The novelty of this paper is connected with the fact that we follow a line based on its alpha-cuts and the parametric formulation we obtain, leaves to the decision maker a wide freedom. For particular values of these parameters we obtain Nie and Tan defuzzification method that, in its classical definition, shows only the evaluation, but looking at it in this new version we obtain further information. The proposed methodology is then applied to risk profiling of a bank client using an interval type-2 fuzzy logic system.

The capability of living a healthy life can be considered a key dimension in the construction of individual well-being. It is itself the outcome of a complex sets of indicators including also subjective indicators. This paper measures health at individual level by using fuzzy logic to keep the complexity of its definition while providing a crisp indicators of the level of health that can be disaggregated in relevant intermediate variables. The system has been implemented on Italian Istat survey on health conditions and the results show a higher gender inequality in the level of health than it can be obtained by using traditional techniques to measure health. We do find that controlling for age, still women are characterized by poorer health conditions. Data disaggregated by regional area show variability in the outcome that can be connected to the different policies enacted across regions.

We propose a model for the pricing of the minimum guarantee option embedded in equity-linked life insurance policies under uncertainty of randomness and fuzziness. The future lifetime of the insured is modelled as a random variable and the asset price evolu- tion is described using a fuzzy binomial-tree model. In order to deal with both randomness and fuzziness, we model the present value of liabilities as a fuzzy random variable. Our re- sults can be used by the actuary to understand the incidence of the minimum guarantee on the premium and to define the appropriate coverage strategies. A numerical example illustrates how our methodology works.

The aim of this paper is to present a brief sketch of what has been a wide project funded by the Puglia region with a group of researchers at the University of Salento. The purpose of the project was to provide three indexes that are based on the principle of sustainability and gender equality as a new tool to address public policies. Here we will focus our attention on one particular index definition and evaluation in a fuzzy way. This index we named Life would offer, in an aggregated way, an evaluation of the connection between quality of daily work and life.

This paper follows in the study of the building of children' social interaction with parents using the capability approach. Parents' role in child well being is well documented by evolutionary psychology and psychoanalysis, here we will try to put in relation and to come to a measure of different factors that can affect its development. We propose a fuzzy expert system to measure this capability both at a theoretical and empirical level. The applied part of the paper use a data set based on a matched data source of ISTAT (Italian National Statistical Office 2008) multipurpose survey on family and on children condition in Italy to recover information on children’s education, the socio-demographic structure of their families, child care provided by relatives and parents according to the type of activities in which the children are involved, and Bank of Italy Survey on household income and wealth year 2008 (SHIW08) to control how family income may enter in the final evaluation This is one step of a more complex system allowing for a richer set of indicators and of dimension of child well being as well as for their interaction.

This paper follows in the study of the building of children' social interaction with parents using the capability approach. Parents' role in child well being is well documented by evolutionary psychology and psychoanalysis, here we will try to put in relation and to come to a measure of different factors that can affect its development. We propose a fuzzy expert system to measure this capability both at a theoretical and empirical level. The applied part of the paper use a data set based on a matched data source of ISTAT (Italian National Statistical Office 2008) multipurpose survey on family and on children condition in Italy to recover information on children’s education, the socio-demographic structure of their families, child care provided by relatives and parents according to the type of activities in which the children are involved, and Bank of Italy Survey on household income and wealth year 2008 (SHIW08) to control how family income may enter in the final evaluation This is one step of a more complex system allowing for a richer set of indicators and of dimension of child well being as well as for their interaction.