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This book presents the very concept of an index matrix and its related augmented matrix calculus in a comprehensive form. It mostly illustrates the exposition with examples related to the generalized nets and intuitionistic fuzzy sets which are examples of an extremely wide array of possible application areas. The present book contains the basic results of the author over index matrices and some of its open problems with the aim to stimulating more researchers to start working in this area.

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Index matrices: definitions, operations, relations.- Intuitionistic Fuzzy IMs.- Extended index matrices.- Temporal IFIMs.- Index matrices with function-type of elements.- Three dimensional IMs.

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