Fuzzy Semirings with Applications to Automata Theory
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 appli
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Studies in Fuzziness and Soft Computing, Volume 278 Editor-in-Chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw Poland E-mail: [email protected] Further volumes of this series can be found on our homepage: springer.com Vol. 264. Hak-Keung Lam and Frank Hung-Fat Leung Stability Analysis of Fuzzy-Model-Based Control Systems, 2011 ISBN 978-3-642-17843-6 Vol. 265. Ronald R. Yager, Janusz Kacprzyk, and Prof. Gleb Beliakov (eds.) Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice, 2011 ISBN 978-3-642-17909-9 Vol. 266. Edwin Lughofer Evolving Fuzzy Systems – Methodologies, Advanced Concepts and Applications, 2011 ISBN 978-3-642-18086-6 Vol. 267. Enrique Herrera-Viedma, José Luis García-Lapresta, Janusz Kacprzyk, Mario Fedrizzi, Hannu Nurmi, and Sławomir Zadro˙zny Consensual Processes, 2011 ISBN 978-3-642-20532-3 Vol. 268. Olga Poleshchuk and Evgeniy Komarov Expert Fuzzy Information Processing, 2011 ISBN 978-3-642-20124-0 Vol. 269. Kasthurirangan Gopalakrishnan, Siddhartha Kumar Khaitan, and Soteris Kalogirou (Eds.) Soft Computing in Green and Renewable Energy Systems, 2011 ISBN 978-3-642-22175-0 Vol. 270. Christer Carlsson and Robert Fullér Possibility for Decision, 2011 ISBN 978-3-642-22641-0
Vol. 271. Enric Trillas, P. Bonissone, Luis Magdalena and Janusz Kacprzyk Combining Experimentation and Theory, 2011 ISBN 978-3-642-24665-4 Vol. 272. Oscar Castillo Type-2 Fuzzy Logic in Intelligent Control Applications, 2012 ISBN 978-3-642-24662-3 Vol. 273. Rudolf Seising and Veronica Sanz (Eds.) Soft Computing in Humanities and Social Sciences, 2012 ISBN 978-3-642-24671-5 Vol. 274. Irina Georgescu Possibility Theory and the Risk, 2012 ISBN 978-3-642-24739-2 Vol. 275. Alexander P. Rotshtein and Hanna B. Rakytyanska Fuzzy Evidence in Identification, Forecasting and Diagnosis, 2012 ISBN 978-3-642-25785-8 Vol. 276. Jaime Gil Aluja and Ana Maria Gil Lafuente Towards an Advanced Modelling of Complex Economic Phenomena, 2012 ISBN 978-3-642-24811-5 Vol. 277. Lotfi A. Zadeh Computing with Words, 2012 ISBN 978-3-642-27472-5 Vol. 278. Javed Ahsan, John N. Mordeson, and Muhammad Shabir Fuzzy Semirings with Applications to Automata Theory, 2012 ISBN 978-3-642-27640-8
Javed Ahsan, John N. Mordeson, and Muhammad Shabir
Fuzzy Semirings with Applications to Automata Theory
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Authors Prof. Dr. Javed Ahsan Department of Mathematics Wah Engineering College University of Wah Wah Cantt Pakistan and Ex. Professor of Mathematics King Fahd University of Petroleum and Minerals Dhahran Kingdom of Saudi Arabia
Prof. Dr. John N. Mordeson Department of Mathematics Creighton University Omaha Nebraska USA Prof. Dr. Muhammad Shabir Department of Mathematics Quad-i-Azam University Islamabad Pakistan
ISSN 1434-9922 e-ISSN 1860-0808 ISBN 978-3-642-27640-8 e-ISBN 978-3-642-27641-5 DOI 10.1007/978-3-642-27641-5 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012930484 c Springer-Verlag Berlin Heidelberg 2012 This work is
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