We consider here fuzzy quantities, i.e., fuzzy sets without any hypothesisabout normality nor convexity. Two main topics are examined: the firstone consists in defining the evaluation of a fuzzy quantity, in such a waythat it may be applied both in ranking and in defuzzification problems.The definition is based on α-cuts and depends on two parameters: acoefficient connected with the optimistic or pessimistic attitude of thedecision maker and a weighting function similar to a density function. Thesecond aim is showing that the proposed definition is suitable fordefuzzifying the output of a fuzzy expert system: we treat a classicalexample discussed in [2], using several t-norms and t-conorms inaggregation procedures.

A general defuzzification method for a fuzzy system output depending on different T-norms / Facchinetti, Gisella; Pacchiarotti, Nicoletta. - In: ADVANCES IN FUZZY SETS AND SYSTEMS. - ISSN 0973-421X. - STAMPA. - 4:(2009), pp. 167-187.

A general defuzzification method for a fuzzy system output depending on different T-norms

FACCHINETTI, Gisella;PACCHIAROTTI, Nicoletta
2009

Abstract

We consider here fuzzy quantities, i.e., fuzzy sets without any hypothesisabout normality nor convexity. Two main topics are examined: the firstone consists in defining the evaluation of a fuzzy quantity, in such a waythat it may be applied both in ranking and in defuzzification problems.The definition is based on α-cuts and depends on two parameters: acoefficient connected with the optimistic or pessimistic attitude of thedecision maker and a weighting function similar to a density function. Thesecond aim is showing that the proposed definition is suitable fordefuzzifying the output of a fuzzy expert system: we treat a classicalexample discussed in [2], using several t-norms and t-conorms inaggregation procedures.
2009
4
167
187
A general defuzzification method for a fuzzy system output depending on different T-norms / Facchinetti, Gisella; Pacchiarotti, Nicoletta. - In: ADVANCES IN FUZZY SETS AND SYSTEMS. - ISSN 0973-421X. - STAMPA. - 4:(2009), pp. 167-187.
Facchinetti, Gisella; Pacchiarotti, Nicoletta
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/620837
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