Continuity and Additivity of the Trapezoidal Approximation Preserving the Expected Interval Operator

Abstract-- The nearest trapezoidal fuzzy number to a fuzzy number, with respect to a well-known metric and preserving the expected interval, was determined in recent articles. In the present paper the properties of additivity and continuity of the trapezoidal approximation operator are studied. Keywords-- Additivity, Approximation, Continuity, Fuzzy number, Trapezoidal fuzzy number.

• Type: Journal
• Year: 2009
• Where: EUSFLAT
• Authors: Adrian Ban, Lucian Coroianu
• Keywords: EUSFLAT 2009, Fuzzy Logic, Fuzzy Number, Trapezoidal Approximation Operator, Trapezoidal Fuzzy Number