Fuzzy Granule Algebraic Structures in GrC
نویسندگان
چکیده
Operations between two granules and inclusion measure are two important issues in granular computing. Two operations between two granules, named join operation and meet operation, are formed to realize the transformation between granule spaces with different granularities, and the fuzzy inclusion measure is induced by the aforementioned operations. The granule set, operations, and fuzzy inclusion measure, are used to form the fuzzy granule algebraic structures, which are proved as fuzzy lattices. We designed the classification algorithms based on the formed fuzzy granule algebraic structures. The experimental results showed that the feasibility of GrC induced by he formed fuzzy granule algebraic structures 2-dimensional space and N-dimensional space.
منابع مشابه
Discovering Knowledge and Modelling Systems using Granular Computing and Neurofuzzy Structures
In this paper a new systematic modelling approach using Granular Computing (GrC) and Neurofuzzy modelling is presented. In this study a GrC algorithm is used to extract relational information and data characteristics out of the initial database. The extracted knowledge is then translated into a linguistic rule-base of a fuzzy system. This rule-base is finally realised via a Neurofuzzy modelling...
متن کاملResearch and Development of Granular Neural Networks
Granular neural networks(GNNs) as a new calculation system structure based on Granular Computing(GrC) and artificial neural network can be able to deal with all kinds of granular information of the real world. This article has made the summary on the development and the present situation of GNNs. Firstly, it introduces the basic model of GrC: word calculation model based on fuzzy sets theory, r...
متن کاملResearch and Development of Granular Neural Networks
Granular neural networks(GNNs) as a new calculation system structure based on Granular Computing(GrC) and artificial neural network can be able to deal with all kinds of granular information of the real world. This article has made the summary on the development and the present situation of GNNs. Firstly, it introduces the basic model of GrC: word calculation model based on fuzzy sets theory, r...
متن کاملGranular Computing and Evolutionary Fuzzy Modelling for Mechanical Properties of Alloy Steels
In this paper the development of a model for Mamdani type fuzzy rule-based systems using the new concept of granular computing (GrC) is presented. In this study a GrC algorithm is used to capture the required information in the form of data granules within a high dimensional complex database. The initial collection of information granules is used as a rule-base for a fuzzy inference system (FIS...
متن کاملImage Superresolution Reconstruction via Granular Computing Clustering
The problem of generating a superresolution (SR) image from a single low-resolution (LR) input image is addressed via granular computing clustering in the paper. Firstly, and the training images are regarded as SR image and partitioned into some SR patches, which are resized into LS patches, the training set is composed of the SR patches and the corresponding LR patches. Secondly, the granular ...
متن کامل