Function S-rough sets(Function Singular rough sets) are defined by R-function equivalence class which has dynamic characteristic, and a function is s law, function S-rough sets have law characteristic. Function S-roug...Function S-rough sets(Function Singular rough sets) are defined by R-function equivalence class which has dynamic characteristic, and a function is s law, function S-rough sets have law characteristic. Function S-rough sets has these forms: function one direction S-rough sets, function two direction S-rough sets and dual of function one direction S-rough sets. This paper presents the law characteristic of function one direction S-rough sets and puts forward the theorems of law-chain-attribute and law-belt. Function S-rough sets is s new research direction of the rough sets theory.展开更多
In this paper we propose a new similarity measures in order to overcome some problems in [1],and proposethe idea for similarity direction of vague sets by which to describe which one is more accurate between vague set...In this paper we propose a new similarity measures in order to overcome some problems in [1],and proposethe idea for similarity direction of vague sets by which to describe which one is more accurate between vague sets. Atsame time we propose a method to determine the similarity direction. Based on above,we present a new bidirectionalapproximate reasoning approach on vague set that fully uses the message accuracy of vague set. So this improves theaccruacy and applicability of approximate reasoning. This provides a useful tool for approximate reasoning in intelli-gence system.展开更多
基金Supported by the Nature Science Foundation of Henan Province(0511012700).
文摘Function S-rough sets(Function Singular rough sets) are defined by R-function equivalence class which has dynamic characteristic, and a function is s law, function S-rough sets have law characteristic. Function S-rough sets has these forms: function one direction S-rough sets, function two direction S-rough sets and dual of function one direction S-rough sets. This paper presents the law characteristic of function one direction S-rough sets and puts forward the theorems of law-chain-attribute and law-belt. Function S-rough sets is s new research direction of the rough sets theory.
文摘In this paper we propose a new similarity measures in order to overcome some problems in [1],and proposethe idea for similarity direction of vague sets by which to describe which one is more accurate between vague sets. Atsame time we propose a method to determine the similarity direction. Based on above,we present a new bidirectionalapproximate reasoning approach on vague set that fully uses the message accuracy of vague set. So this improves theaccruacy and applicability of approximate reasoning. This provides a useful tool for approximate reasoning in intelli-gence system.
