Fuzzy Semirings with Applications to Automata Theory [electronic resource] / by Javed Ahsan, John N. Mordeson, Muhammad Shabir.Material type: TextLanguage: English Series: Studies in Fuzziness and Soft Computing: 278Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012Description: XVIII, 230 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783642276415Subject(s): Engineering | Computer science | Engineering | Computational Intelligence | Computer Science, general | Mathematical Applications in Computer ScienceAdditional physical formats: Printed edition:: No titleDDC classification: 006.3 LOC classification: Q342Online resources: Click here to access online
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.
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.