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Physica-Verlag HD
Fuzzy Discrete Structures / Edition 1

Fuzzy Discrete Structures / Edition 1

by Davender S. Malik, John N. Mordeson


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Product Details

ISBN-13: 9783790824773
Publisher: Physica-Verlag HD
Publication date: 12/15/2010
Series: Studies in Fuzziness and Soft Computing , #58
Edition description: Softcover reprint of hardcover 1st ed. 2000
Pages: 266
Product dimensions: 6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Foreword.- Preface.- Fuzzy Logic Functions: Sets. Relations. Functions. Fuzzy Sets. Semigroups. Fuzzy Logic. Fuzzy Functions and Decomposition. Solution of Fuzzy Logic Inequalities. References.- Decision Trees: Decision Trees. Fuzzy Decision Tree Algorithms. Analysis of the BBB Algorithm. References.- Networks: Network Models. A Maximum Flow Algorithm. The Max Flow, Min Cut Theorem. Maximum Flow in a Network with Fuzzy Arc Capacities. The Maximum Flow with Integer Values. Integer Flows in Network with Two-Sided Fuzzy Capacities Constraints. Real-Valued Flows in a Network with Fuzzy Arc Capacities. Petri Nets. Fuzzy Petri Nets for Rule-Based Decisionmaking. References. - Fuzzy Graphs and Shortest Paths.- Fuzzy Shortest Paths. Analysis of the Fuzzy Path Models. On Valuation and Optimization Problems. References.- Fuzzy Machines, Languages, and Grammars: Max-Product Machines. Irreducibility and Minimality. On Reductions of Maximin Machines. Context-Free Max-Product Grammars. Context-Free Fuzzy Languages. Deterministic Acceptors of Regular Fuzzy Languages. Fuzzy Languages on a Free Monoid. Algebraic Character and Properties of F-Regular Languages. References.- Algebraic Fuzzy Automata. Semigroups of Fuzzy Finite State Machines. Homomorphisms. Admissible Relations. Fuzzy Transformation Semigroups. Submachines. Retrievability, Separability and Connectivity. Decomposition of Fuzzy Finite State Machines. Admissible Partitions. On Fuzzy Recognizers. Minimal Fuzzy Recognizers. References.- Appendix.- Index.- List of Symbols.

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