Description: Fuzzy Semigroups, Hardcover by Mordeson, John N.; Malik, D. S.; Kuroki, Nobuaki, ISBN 3540032436, ISBN-13 9783540032434, Like New Used, Free P&P in the UK Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld used the notion of a fuzzy subset to put forth cornerstone papers in several areas of mathematics, among other discplines. Rosenfeld is the father of fuzzy abstract algebra. Kuroki is re sponsible for much of fuzzy ideal theory of semigroups. Others who worked on fuzzy semigroup theory, such as Xie, are mentioned in the bibliogra phy. The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. We concentrate mainly on theoretical aspects, but we do include applications. The applications are in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. An extensive account of fuzzy automata and fuzzy languages is given in [100]. Consequently, we only consider results in these areas that have not appeared in [100] and that pertain to semigroups. In Chapter 1, we review some basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages. The purpose of this chapter is to present basic results that are needed in the remainder of th. In Chapter 2, we introduce certain fuzzy ideals of a semigroup, namely, fuzzy two-sided ideals, fuzzy bi-ideals, fuzzy interior ideals, fuzzy quasi ideals, and fuzzy generalized bi-ideals.
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Book Title: Fuzzy Semigroups
Number of Pages: 319 Pages
Language: English
Publication Name: Fuzzy Semigroups
Publisher: Springer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
Publication Year: 2003
Subject: Engineering & Technology, Mathematics
Item Height: 235 mm
Item Weight: 1430 g
Type: Textbook
Author: John N. Mordeson, Davender S. Malik, Nobuaki Kuroki
Series: Studies in Fuzziness and Soft Computing
Item Width: 155 mm
Format: Hardcover
