(L, e)-filters on complete residuated lattices
نویسندگان
چکیده
منابع مشابه
(L, e)-filters on complete residuated lattices
We introduce the notion of (L, e)-filters with fuzzy partially order e on complete residuated lattice L. We investigate (L, e)-filters induced by the family of (L, e)-filters and functions. In fact, we study the initial and final structures for the family of (L, e)-filters and functions. From this result, we define the product and co-product for the family of (L, e)-filters and functions.
متن کاملRADICAL OF FILTERS IN RESIDUATED LATTICES
In this paper, the notion of the radical of a filter in residuated lattices is defined and several characterizations of the radical of a filter are given. We show that if F is a positive implicative filter (or obstinate filter), then Rad(F)=F. We proved the extension theorem for radical of filters in residuated lattices. Also, we study the radical of filters in linearly o...
متن کاملState filters in state residuated lattices
In this paper, we introduce the notions of prime state filters, obstinate state filters, and primary state filters in state residuated lattices and study some properties of them. Several characterizations of these state filters are given and the prime state filter theorem is proved. In addition, we investigate the relations between them.
متن کاملSemi-G-filters, Stonean filters, MTL-filters, divisible filters, BL-filters and regular filters in residuated lattices
At present, the filter theory of $BL$textit{-}algebras has been widelystudied, and some important results have been published (see for examplecite{4}, cite{5}, cite{xi}, cite{6}, cite{7}). In other works such ascite{BP}, cite{vii}, cite{xiii}, cite{xvi} a study of a filter theory inthe more general setting of residuated lattices is done, generalizing thatfor $BL$textit{-}algebras. Note that fil...
متن کاملradical of filters in residuated lattices
in this paper, the notion of the radical of a filter in residuated lattices is defined and several characterizations of the radical of a filter are given. we show that if f is a positive implicative filter (or obstinate filter), then rad(f)=f. we proved the extension theorem for radical of filters in residuated lattices. also, we study the radical of filters in linearly o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Fuzzy Logic and Intelligent Systems
سال: 2012
ISSN: 1598-2645
DOI: 10.5391/ijfis.2012.12.3.232