In order to compare the structures and properties of two generalized information systems, a
class of special mappings, called consistent functions in some literature, have been …

Neighborhood systems have been investigated extensively because of their applicability in
granular computing. The consistent functions have been used to compare the structures of …

In recent years, homomorphisms have been exploited to compare the structures and
properties of two generalized information systems. Some of these homomorphisms are …

Recently, Wang et al. discussed the properties of fuzzy information systems under
homomorphisms in the work [C. Wang, D. Chen, L. Zhu, Homomorphisms between fuzzy …

Since the naissance of the fuzzy set theory in 1965, it has been applied to many areas
extensively. In the applications, people are confronted with the interpretation problem of …

The neighborhood system (NS) is one of the most general structures for granular computing.
The concept of consistent function is a tool to study the structure-preservation for closure and …

Neighborhood systems present a general model for the theory of granular computing.
Consistent functions can be used to study the communication between neighborhood …

The relationship between information systems is an important topic in rough set field and it is
studied through mappings. Many kinds of consistent functions have been proposed and they …

The fuzzy extension principle has been widely used to extend the domain of mathematical
functions and relations from elements of a referential set to fuzzy subsets of that referential …

This paper is devoted to the discussion of necessary and sufficient conditions for
isomorphism (the same structure) of fuzzy sets. ε-similarity of fuzzy sets is proposed. A new …