| 書目名稱 | Fuzzy Semigroups | | 編輯 | John N. Mordeson,Davender S. Malik,Nobuaki Kuroki | | 視頻video | http://file.papertrans.cn/352/351345/351345.mp4 | | 概述 | Recent Research on Fuzzy Semigroups.Theory and application in the areas of fuzzy coding theory, fuzzy finite state machines, fuzzy languages..Includes supplementary material: | | 叢書名稱 | Studies in Fuzziness and Soft Computing | | 圖書封面 |  | | 描述 | 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 t | | 出版日期 | Book 2003 | | 關(guān)鍵詞 | Fuzzy; Fuzzy Coding Theory; Fuzzy Finite State Machines; Fuzzy Languages; Fuzzy semigroups; Transformatio | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-37125-0 | | isbn_softcover | 978-3-642-05706-9 | | isbn_ebook | 978-3-540-37125-0Series ISSN 1434-9922 Series E-ISSN 1860-0808 | | issn_series | 1434-9922 | | copyright | Springer-Verlag Berlin Heidelberg 2003 |
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