An "orderwise" polynomial regression procedure for fuzzy data

Authors:
Pierpaolo D'Urso;Tommaso Gastaldi
Affiliations:
Dipartimento di Statistica, Probabilità e Statistiche Applicate, Università degli Studi di Roma "La Sapienza", P. le Aldo Moro, 5, 00185 Roma, Italy;Dipartimento di Statistica, Probabilità e Statistiche Applicate, Università degli Studi di Roma "La Sapienza", P. le Aldo Moro, 5, 00185 Roma, Italy
Venue:
Fuzzy Sets and Systems
Year:
2002

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Abstract

A procedure for polynomial fit with fuzzy data is presented. As in real case studies, there is often dependence between modes and spreads, we propose a regression polynomial model capable to take into account possible interactions between the estimated spreads and modes. This method finds applications in several fields such as reliability, quality control, psychometrics, marketing, image processing, etc. An application to a software reliability problem is also presented.