Bipolar distributions in fuzzy sets theory

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

Bipolar distributions in fuzzy sets theory

Authors

Donata Marasini, Piero Quatto, Enrico Ripamonti

Publisher

Vita e Pensiero

Format

Article |

Pdf

Online from

10-2016

Issn

1824-6672 (print) | 2283-6659 (digital)

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Description Readers' comments

In this paper we consider the problem of measuring latent variables with ordinal scales and we put forward an original approach to this issue, which combines the use of Intuitionistic Fuzzy Sets with the calculation of bipolar means and bipolar distributions. Intuitionistic Fuzzy theory allows a researcher to model the degree of membership and non-membership to a certain fuzzy set, as well as the residual uncertainty. It is fundamental, for decision making, to properly model such source of variability. We focus on the definition of uncertainty, using bipolar distributions and introducing Intuitionistic Bipolar Fuzzy Sets. This allows us to distinguish between a negative and a positive component of uncertainty, which represents a novelty in Intuitionistic Fuzzy analysis. We apply this method to a national evaluation survey (The Magellano Project) proposed by the Italian Ministry of Public Administration, aimed at involving employees in management decision.

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