| Title of paper:
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Generalized negations and intuitionistic fuzzy sets - a criticism to a widely used terminology
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| Author(s):
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| Gianpiero Cattaneo
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| Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano–Bicocca, Via Bicocca degli Arcimboldi 8, I–20126 Milano, Italy
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| cattang@disco.unimib.it
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| Davide Ciucci
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| Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano–Bicocca, Via Bicocca degli Arcimboldi 8, I–20126 Milano, Italy
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| ciucci@disco.unimib.it
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| Presented at:
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3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, September 10-12, 2003
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| Published in:
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Conference proceedings, pages 147-152
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| Download:
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 PDF (103 Kb, File info)
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| Abstract:
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Intuitionistic Fuzzy Sets Theory is based on a wrong nominalistic (terminological) assumption. It is defined as “intuitionistic” a negation which does not satisfy usual properties of the intuitionistic Brouwer negation, but it is called with this term only a particular generalized notion of negation which indeed corresponds to the de Morgan negation. This metatheoretical assumption is criticized and the role of different generalized negations is discussed.
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| Keywords:
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Brouwer negation, Kleene negation, intuitionistic fuzzy sets, HW algebras.
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| References:
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