Rational Pavelka logic: The best among three worlds?
نویسندگان
چکیده
This comparative survey explores three formal approaches to reasoning with partly true statements and degrees of truth, within the family Łukasiewicz logic. These are represented by infinite-valued logic (Ł), Rational Pavelka (RPL) a graded formulas that we refer as Graded (GRPL). Truth constants for all rationals between 0 1 used technical means represent truth. ostensibly features no truth except 1; includes in basic language, suitable axioms; works proofs, following original intent Pavelka, inspired Goguen's work. Historically, Pavelka's papers precede definition GRPL, which turn precedes RPL; retrieving these steps, discuss how systems naturally evolve from each other, also recall this process has been somewhat contentious issue realm work can be read case study logics, their fragments, relationship fragments
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2023
ISSN: ['1872-6801', '0165-0114']
DOI: https://doi.org/10.1016/j.fss.2022.08.010