On the calculation of extended max and min operations between convex fuzzy sets of the real line

Authors:
Hooman Tahayori;Andrea G. B. Tettamanzi;Giovanni Degli Antoni;Andrea Visconti
Affiliations:
Università degli Studi di Milano, Dipartimento di Scienze dell'Informazione, Via Comelico 39/41, 20135 Milano, Italy;Università degli Studi di Milano, Dipartimento di Tecnologie dell'Informazione, Via Bramante 65, I-26013 Crema, Italy;Università degli Studi di Milano, Dipartimento di Scienze dell'Informazione, Via Comelico 39/41, 20135 Milano, Italy;Università degli Studi di Milano, Dipartimento di Informatica e Comunicazione, Via Comelico 39/41, 20135 Milano, Italy
Venue:
Fuzzy Sets and Systems
Year:
2009

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Abstract

In this paper we will identify the sets of so-called sub- and pseudo-highest intersection points of convex fuzzy sets of the real line and will explore their properties. Based on the properties of these sets, an algorithm for calculating extended max and min operations between two or more convex fuzzy sets of the real line with general membership functions, not necessarily continuous, is proposed.