کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
397110 | 1438476 | 2012 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
States in Łukasiewicz logic correspond to probabilities of rational polyhedra
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
It will be shown that probabilities of infinite-valued events represented by formulas in Łukasiewicz propositional logic are in one-to-one correspondence with tight probability measures over rational polyhedra in the unit hypercube. This result generalizes a recent work on rational measures of polyhedra and provides an elementary geometric approach to reasoning under uncertainty with states in Łukasiewicz logic.
► We study a relation of states in Lukasiewicz logic to probabilities of rational polyhedra in the unit n-dimensional cube.
► We provide a purely geometrical proof of integral representation of states.
► We show that there is a 1–1 correspondence between the states and the tight probabilities on rational polyhedra.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Approximate Reasoning - Volume 53, Issue 4, June 2012, Pages 435–446
Journal: International Journal of Approximate Reasoning - Volume 53, Issue 4, June 2012, Pages 435–446
نویسندگان
Tomáš Kroupa,