Concepts and fuzzy sets: Misunderstandings, misconceptions, and oversights
International Journal of Approximate Reasoning
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This article deals with the claims that “a standard version of fuzzy logic collapses mathematically to two-valued logic” made by Charles Elkan in two papers [Proc 11th National Conf on AI, Menlo Park, CA: AAAI Press, 1993, pp 698–703; IEEE Expert 1994;9:3–8]. Although Elkan's effort to trivialize fuzzy logic has been questioned by numerous authors, our aim is to examine in detail his formal arguments and make some new observations. We present alternative, considerably simpler proofs of Elkan's theorems and use these proofs to argue that Elkan's claims are unwarranted. © 2007 Wiley Periodicals, Inc. Int J Int Syst 22: 203–207, 2007.