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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Fundamental Concepts
verfasst von : Javed Ahsan, John N. Mordeson, Mohammad Shabir
Erschienen in: Fuzzy Semirings with Applications to Automata Theory
Verlag: Springer Berlin Heidelberg
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This introductory chapter comprises 6 sections. In section 1, we give a general introduction to the algebraic structure of semirings. Section 2 contains basic definitions, examples, and important applications of semirings. In section 3, we assemble preliminary definitions and results, and section 4 provides a summary of algebraic preliminaries related to the structure of semirings. In section 5, we present the concept of fuzzy sets which was introduced by Lotfi A. Zadeh in 1965, collect basic definitions, examples, and applications. In the final section 6 of this chapter, we give a brief review of various Fuzzy algebraic structures.