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@Article{CintulaKlementMesiarNavara-MLQ_Ham,
author = {Cintula, Petr and Klement, Erich Peter and
Mesiar, Radko and Navara, Mirko},
title = {Residuated logics based on strict t-norms
with an involutive negation},
year = {2006},
month = {May},
pages = {269--282},
journal = {Mathematical Logic Quarterly},
publisher = {Johann Ambrosius Barth},
address = {Heidelberg, Germany},
issn = {0942-5616},
volume = {52},
number = {3},
annote = {In general, there is only one fuzzy logic in which the
standard interpretation of the strong conjunction is a strict
triangular norm, namely, the product logic. We study several
equations which are satisfied by some strict t-norms and their
dual t-conorms. Adding an involutive negation, these equations
allow us to generate countably many logics based on strict t-norms
which are different from the product logic. },
keywords = {fuzzy set, fuzzy logic, involutive fuzzy negation,
triangular norm, Hamacher product},
psurl = {[PDF]},
}