0469148 20240103213400.220170116235959.9 84875418614 000316774700023 10.1016/j.ins.2012.12.010 20 s. P cav_un_epca*02567520020-02552321 (2013)366-385Elsevier Mathematical fuzzy logic Standard completeness Truth hedges cav_un_auth*0019168 Esteva F. ES cav_un_auth*0015019 Godo L. ES cav_un_auth*0293476 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Noguera Carles UTIA-B K Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/MTR/noguera-0469148.pdf The starting point of this paper are the works of Hájek and Vychodil on the axiomatization of truth-stressing and -depressing hedges as expansions of Hájek's BL logic by new unary connectives. They showed that their logics are chain-complete, but standard completeness was only proved for the expansions over Gödel logic. We propose weaker axiomatizations over an arbitrary core fuzzy logic which have two main advantages: (i) they preserve the standard completeness properties of the original logic and (ii) any subdiagonal (resp. superdiagonal) non-decreasing function on [0,1] preserving 0 and 1 is a sound interpretation of the truth-stresser (resp. depresser) connectives. Hence, these logics accommodate most of the truth hedge functions used in the literature about of fuzzy logic in a broader sense. BA 2017 RVO:67985556 http://hdl.handle.net/11104/0269419 S COMPUTERSCIENCEINFORMATIONSYSTEMS 3.969 0.640 4.IX 0.02647 0.889 12028 602 2.171 ScienceCitationIndex Q1 75.425 94.444 Q1 Q1 2013 84875418614 SCOPUS PUBMED 000316774700023 WOS cav_un_epca*0256752 Information Sciences 0020-0255 1872-6291 Roč. 232 č. 1 2013 366 385 Elsevier