Fuzzy Semirings with Applications to Automata Theory

• Main Authors: Ahsan, Javed (Author), Mordeson, John N. (Author), Shabir, Muhammad (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Studies in Fuzziness and Soft Computing, 278
• Subjects: Engineering.; Computer science.; Computer science > Mathematics.; Computer mathematics.; Computational intelligence.; Computational Intelligence.; Computer Science, general.; Mathematical Applications in Computer Science.

The purpose of this book is to present an up to date account of fuzzy ideals of a semiring. The book concentrates on theoretical aspects and consists of eleven chapters including three invited chapters. Among the invited chapters, two are devoted to applications of Semirings to automata theory, and...

Table of Contents:

• Fundamental Concepts
• Fuzzy Ideals of Semirings
• Fuzzy Subsemimodules over Semirings
• Fuzzy k-Ideals of Semirings
• Fuzzy Quasi-ideals and Fuzzy Bi-ideals in Semirings
• (∈,∈ ∨q)-Fuzzy Ideals in Semirings
• (∈,∈∨q)-Fuzzy Ideals in Semirings
• Fuzzy Ideals with Thresholds
• On fuzzy LD-bigroupoids
• Semiring Parsing
• Coverings and Decompositions of Semiring-Weighted Finite Transition Systems.