کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
389205 661109 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On tense MV-algebras
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On tense MV-algebras
چکیده انگلیسی

The main aim of this article is to study tense MV-algebras which are just MV-algebras with new unary operations G and H which express a universal time quantifiers. Tense MV-algebras were introduced by D. Diaconescu and G. Georgescu. Using a new notion of an fm-function between MV-algebras we settle a half of their Open problem about representation for some classes of tense MV-algebras, i.e., we show that any tense semisimple MV-algebra is induced by a time frame analogously to classical works in this field of logic. As a by-product we obtain a new characterization of extremal states on MV-algebras. Our method gives a general framework for representing functions with the so-called Jauch–Piron property (including MV-morphisms) between MV-algebras.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 259, 15 January 2015, Pages 111–125
نویسندگان
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