کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
391078 661339 2009 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Uncertainty measures—Problems concerning additivity
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Uncertainty measures—Problems concerning additivity
چکیده انگلیسی

Additivity of an uncertainty measure on an MV-algebra has a clear meaning. If the divisibility is dropped, we come up to a so-called Girard algebra. There we discuss strong resp. weak additivity based on so-called divisible disjoint unions resp. on additivity for all sub-MV-algebras. We obtain a description of those extensions from additive measures on an MV-algebra to the canonical Girard algebra extension of pairs which are strongly additive and valuation measures. Finally, we prove the non-existence of strongly additive measure extensions, if the underlying MV-algebra is a finite chain with more than two non-trivial elements.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 160, Issue 3, 1 February 2009, Pages 371-383