An extension of Stone Duality to fuzzy topologies and MV-algebras
نویسندگان
چکیده
منابع مشابه
Measures and Topologies on MV-algebras
My talk is based on article [1]. Our aim is to give a unified topological approach to several results about a certain type of fuzzy measures, namely T∞−valuations (2) on clans of fuzzy sets (1) (in the sense of Butnariu and Klement [2]). We will transfer the method of [3], used to study FN-topologies (4) and measures on Boolean rings, to the study of T∞−valuations. So we need, for the domain of...
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$Rsb{0}$-algebras, which were proved to be equivalent to Esteva and Godo's NM-algebras modelled by Fodor's nilpotent minimum t-norm, are the equivalent algebraic semantics of the left-continuous t-norm based fuzzy logic firstly introduced by Guo-jun Wang in the mid 1990s.In this paper, we first establish a Stone duality for the category of MV-skeletons of $Rsb{0}$-algebras and the category of t...
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2016
ISSN: 0165-0114
DOI: 10.1016/j.fss.2015.11.011