عنوان

Fuzzy Sets in Information Retrieval and Cluster Analysis

9401578877

9789401578875

b544023

Fuzzy Sets in Information Retrieval and Cluster Analysis

[Book]

by Sadaaki Miyamoto.

Dordrecht

Springer Netherlands

1990

(x, 261 pages)

Theory and decision library., Series D,, System theory, knowledge engineering, and problem solving ;, 4.

1 Introduction --;1.1 The Subject --;1.2 Information Retrieval --;1.3 Hierarchical Cluster Analysis --;1.4 A Pragmatic Approach --;1.5 Principles of Mathematical Models --;1.6 Outline of the Contents --;2 Fuzzy Sets --;2.1 Crisp Sets and Fuzzy Sets --;2.2 Set Operations --;2.3 Basic Properties of Fuzzy Sets --;2.4 Image of a Fuzzy Set, Convexity --;2.5 Measures on Fuzzy Sets --;2.6 Fuzzy Relations --;2.7 Crisp Graphs --;2.8 Fuzzy Graphs --;2.9 A Max-Min Algebra and Fuzzy Graphs --;3 Review of Information Retrieval --;3.1 Introduction --;3.2 A Crisp System for Information Retrieval --;3.3 Measures for Evaluation of Information Retrieval Effectiveness --;3.4 Associative Indices for Information Retrieval --;3.5 The Citation Index --;3.6 Weighted Retrieval and a Diagram for Information Retrieval --;4 Introduction to Fuzzy Information Retrieval --;4.1 A Simple Type of Fuzzy Information Retrieval --;4.2 A Typology of Fuzzy Retrieval --;5 Information Retrieval through Fuzzy Associations --;5.1 A Mathematical Model for Fuzzy Thesauri --;5.2 Fuzzy Associations --;5.3 Information Retrieval Through Fuzzy Associations --;6 Hierarchical Cluster Analysis and Fuzzy Sets --;6.1 Introduction to Cluster Analysis --;6.2 Measures of Similarity and Distance --;6.3 Algorithms for Hierarchical Clustering --;6.4 Single Linkage and Fuzzy Graph --;6.5 Dendrogram and Tree Traversal --;6.6 Reversal in a Dendrogram --;6.7 A Class of New Methods --;6.8 Application to Document Clustering --;7 Feedback in Information Retrieval and Search for Clusters --;7.1 Retrieval Through Clusters --;7.2 Block Diagrams and Max-Min Algebra --;7.3 Feedback in Block Diagrams --;8 Other Methods in Fuzzy Information Retrieval and Related Topics --;8.1 Other Methods in Fuzzy Information Retrieval --;8.2 Evaluation Measures in Fuzzy Information Retrieval --;8.3 Fuzzy Relational Database --;8.4 A Brief Review for Studies in Fuzzy Information Retrieval --;8.5 Development of a Fuzzy Retrieval System --;8.6 Graphical Representations of Bibliographic Structure --;9 Discussion and Suggestions for Further Studies --;References.

The present monograph intends to establish a solid link among three fields: fuzzy set theory, information retrieval, and cluster analysis.

Logic, Symbolic and mathematical.

Mathematics.

Systems theory.

by Sadaaki Miyamoto.

Sadaaki Miyamoto

[Book]

Y