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On the law [p∧q→r]=[(p→r)V(q→r)] in fuzzy logic

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2 Author(s)
Trillas, E. ; Departamento de Inteligencia Artificial, Univ. Politecnica de Madrid, Spain ; Alsina, C.

This paper deals with the logical equivalence of the classical propositional calculus [p∧q→r]=[(p→r)V(q→r)]. This equality seems to play a central role in a recent discussion around a paper of Combs and Andrews (1998). After reconsidering the equivalence in lattices, its validity in the standard theories of fuzzy sets endowed with an implication operator is studied

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Fuzzy Systems, IEEE Transactions on  (Volume:10 ,  Issue: 1 )