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
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
States in Łukasiewicz logic correspond to probabilities of rational polyhedra
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
نویسندگان
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