Comments on some versions of intuitionistic fuzzy propositional calculus due to K. Atanassov and G. Gargov |
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| Authors: | K M Abd El-Hakeim F M Zeyada |
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| Institution: | Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt |
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| Abstract: | We show that the versions of intuitionistic fuzzy propositional calculus given in Definitions 6 and 7 in Atanassov and Gargov (Fuzzy Sets and Systems 95 (1998) 39–52) do not satisfy modus ponens. Furthermore, we show that the version of intuitionistic fuzzy propositional calculus given in Definition 8 by Atanassov and Gargov is incorrect. |
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