Fuzzy Semirings with Applications to Automata Theory

✍ Scribed by Javed Ahsan, John N. Mordeson, Muhammad Shabir (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2012
• Tongue: English
• Leaves: 233
• Series: Studies in Fuzziness and Soft Computing 278
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages 1-14
Front Matter....Pages 1-1
Fundamental Concepts....Pages 3-13
Fuzzy Ideals of Semirings....Pages 15-29
Fuzzy Subsemimodules over Semirings....Pages 31-52
Fuzzy k -Ideals of Semirings....Pages 53-82
Fuzzy Quasi-ideals and Fuzzy Bi-ideals in Semirings....Pages 83-103
(∈, ∈ Vq)-Fuzzy Ideals in Semirings....Pages 105-122
( $\overline\in$ , $\overline\in$ Vq̄)-Fuzzy Ideals in Semirings....Pages 123-139
Fuzzy Ideals with Thresholds....Pages 141-159
Front Matter....Pages 161-161
On Fuzzy LD -Bigroupoids....Pages 163-174
Semiring Parsing....Pages 175-192
Coverings and Decompositions of Semiring-Weighted Finite Transition Systems....Pages 193-216
Back Matter....Pages 0--1

✦ Subjects

Computational Intelligence; Computer Science, general; Mathematical Applications in Computer Science