Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Issue:Generalized negations and intuitionistic fuzzy sets - a criticism to a widely used terminology: Difference between revisions
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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. | Intuitionistic Fuzzy Sets Theory is based on a wrong nominalistic (terminological) assumption. It is defined as [[intuitionistic fuzzy negations|“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. | ||
| keywords = Brouwer negation, Kleene negation, [[intuitionistic fuzzy sets]], HW algebras. | | keywords = Brouwer negation, Kleene negation, [[intuitionistic fuzzy sets]], HW algebras. | ||
| references = | | references = | ||
# K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst. 20 (1986), 87–96. | # K. T. Atanassov, [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], Fuzzy Sets Syst. 20 (1986), 87–96. | ||
# G. Cattaneo and D. Ciucci, Heyting Wajsberg algebras as an abstract environment linking fuzzy and rough sets, LNAI, vol. 2475, Springer, 2002, pp. 77–84. | # G. Cattaneo and D. Ciucci, Heyting Wajsberg algebras as an abstract environment linking fuzzy and rough sets, LNAI, vol. 2475, Springer, 2002, pp. 77–84. | ||
# G. Cattaneo and D. Ciucci, [[Issue:Intuitionistic fuzzy sets or orthopair fuzzy sets?|Intuitionistic fuzzy sets or orthopair fuzzy sets?]], EUSFLAT`03, 2003, 153-158. | # G. Cattaneo and D. Ciucci, [[Issue:Intuitionistic fuzzy sets or orthopair fuzzy sets?|Intuitionistic fuzzy sets or orthopair fuzzy sets?]], EUSFLAT`03, 2003, 153-158. | ||
# G. Cattaneo and G. | # G. Cattaneo and G. Nistico, Brouwer-Zadeh posets and three valued Lukasiewicz posets, Fuzzy Sets Syst. 33 (1989), 165–190. | ||
# A. Church, On the law of excluded middle, Bull. Amer. Math. Soc. 34 (1928), 75–78. | # A. Church, On the law of excluded middle, Bull. Amer. Math. Soc. 34 (1928), 75–78. | ||
# J.M. Dunn, Relevance logic and entailment, Handbook of Philosophical Logic (D. Gabbay and F. Guenther, eds.), vol. 3, Kluwer, 1986. | # J.M. Dunn, Relevance logic and entailment, Handbook of Philosophical Logic (D. Gabbay and F. Guenther, eds.), vol. 3, Kluwer, 1986. |
Latest revision as of 13:10, 19 July 2010
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