کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
389763 661174 2014 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Submeasures on nuanced MV-algebras
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Submeasures on nuanced MV-algebras
چکیده انگلیسی
This paper further investigates the properties of submeasures on n-nuanced MV-algebras introduced by the author in a previous work. We prove that there is a one-to-one correspondence between the set of submeasures on an n-nuanced MV-algebra and the set of submeasures on its MV-center. As a main result, we prove an extension theorem for submeasures on n-nuanced MV-algebras. This result generalizes the extension theorems which have been proved by Riečan for MV-algebras and by Georgescu for Łukasiewicz-Moisil algebras. The perfect NMVAn is defined and studied and the notion of a bounded local submeasure on a perfect NMVAn is introduced. It is proved that any bounded local submeasure on a perfect NMVAn L can be extended to a submeasure on L.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 244, 1 June 2014, Pages 106-122
نویسندگان
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