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This book studies important classes of semirings by using currently documented techniques, by developing new methods for investigating the structure of semirings in a fuzzy context, and extending to the setting of fuzzy semimodules over semirings.

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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 one deals with some generalizations of Semirings. This volume may serve as a useful hand book for graduate students and researchers in the areas of Mathematics and Theoretical Computer Science.

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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.

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From the book reviews:

"The book can be very useful for researchers who need a complete book about fuzzy linguistics, which has many important applications in the fields of natural language processing, image processing and many other areas of artificial intelligence. ... the book provides a good background for engineers who work in computer science and artificial intelligence." (Szymon Frankowski, Mathematical Reviews, March, 2015)

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