Information semantics of defuzzification in fuzzy control
Arthur Ramer, Y. Maeda, László Tamás Kóczy · 2002
Given a fuzzy set (X, /spl pi/) with possibilities p/sub i/, and given U(/spl pi/)=/spl Sigma/(p/sub i/-p/sub i+1/)log i, Z(/spl pi/)=-(1-p/sub 1/)log p/sub 1/, S(/spl pi/)=-Z(/spl pi/)+U(/spl pi/), Ramer and Padet (1995) developed for U(/spl pi/) a formal semantics linking its interpretation to the transmission of information about acceptability of preferences given their possibilities. This paper provides such a semantics for S(/spl pi/), thus offering a theoretical explanation for the experimental success of its use in control engineering.>