Category of Isotone Bonds between L-fuzzy Contexts over Different Structures of Truth Degrees
نویسندگان
چکیده
We describe properties of compositions of isotone bonds between L-fuzzy contexts over different complete residuated lattices and we show that L-fuzzy contexts as objects and isotone bonds as arrows form a category.
منابع مشابه
Isotone L-bonds
L-bonds represent relationships between formal contexts. We study properties of these intercontextual structures w.r.t. isotone conceptforming operators in fuzzy setting. We also focus on the direct product of two formal fuzzy contexts and show conditions under which a bond can be obtained as an intent of the product. In addition, we show that the previously studied properties of their antitone...
متن کاملAntitone L-bonds
L-bonds represent relationships between fuzzy formal contexts. We study these intercontextual structures w.r.t. antitone Galois connections in fuzzy setting. Furthermore, we define direct -product and -product of two formal fuzzy contexts and show conditions under which a fuzzy bond can be obtained as an intent of the product. This extents our previous work on isotone fuzzy bonds.
متن کاملThe Category of L-Chu Correspondences and the Structure of L-Bonds
An L-fuzzy generalization of the so-called Chu correspondences between formal contexts forms a category called L-ChuCors. In this work we show that this category naturally embeds ChuCors, and prove that it is *-autonomous. We also focus on the direct product of two L-fuzzy contexts, which is defined with the help of a binary operation, essentially a disjunction, on a lattice of truth-values L.
متن کاملCategories of lattice-valued closure (interior) operators and Alexandroff L-fuzzy topologies
Galois connection in category theory play an important role inestablish the relationships between different spatial structures. Inthis paper, we prove that there exist many interesting Galoisconnections between the category of Alexandroff $L$-fuzzytopological spaces, the category of reflexive $L$-fuzzyapproximation spaces and the category of Alexandroff $L$-fuzzyinterior (closure) spaces. This ...
متن کاملON (L;M)-FUZZY CLOSURE SPACES
The aim of this paper is to introduce $(L,M)$-fuzzy closurestructure where $L$ and $M$ are strictly two-sided, commutativequantales. Firstly, we define $(L,M)$-fuzzy closure spaces and getsome relations between $(L,M)$-double fuzzy topological spaces and$(L,M)$-fuzzy closure spaces. Then, we introduce initial$(L,M)$-fuzzy closure structures and we prove that the category$(L,M)$-{bf FC} of $(L,M...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015