1 edition of **Fuzzy semigroups** found in the catalog.

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Published
**2010** by Springer in Berlin [u.a.] .

Written in English

**Edition Notes**

Literaturverz. S. [303] - 313

Statement | John N. Mordeson; Davender S. Malik; Nobuaki Kuroki |

Series | Studies in fuzziness and soft computing -- 131, 131 |

Contributions | Kuroki, Nobuaki Author, Malik, Davender S. Author |

The Physical Object | |
---|---|

Pagination | IX, 319 S. |

Number of Pages | 319 |

ID Numbers | |

Open Library | OL27040543M |

ISBN 10 | 3642057063, 3540371257 |

ISBN 10 | 9783540371250, 9783642057069 |

OCLC/WorldCa | 837781540 |

Fuzzy Automata and Languages: Theory and Applications offers the first in-depth treatment of the theory and mathematics of fuzzy automata and fuzzy languages. After introducing background material, the authors study max-min machines and max-product machines, developing their respective algebras and exploring properties such as equivalences.

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Rosenfeld is the father of fuzzy abstract algebra. Kuroki is re sponsible for much of fuzzy ideal theory Fuzzy semigroups book 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.

The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. The book concentrates on theoretical aspects, but also includes applications in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages/5(4).

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 the book. In Chapter 2, we introduce certain fuzzy ideals of a semigroup, namely, fuzzy two-sided ideals, fuzzy bi-ideals, fuzzy Cited by: 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 by: 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 : $ The book focuses on recent advances on feedback control designs for various types of electric motors, with a slight emphasis on stepper motors.

For this purpose, the authors explore modeling of these devices to the extent needed to provide a high-performance controller but at the same time amenable to model-based nonlinear designs. Fuzzy Semigroups. Authors: Moderson, John N., Malik, Davender S., Kuroki, Nobuaki Free Preview.

Buy this book eBook ,69 € price for Spain (gross) Buy eBook ISBN ; Digitally watermarked, DRM-free; Included format: PDF; ebooks can be used on all reading devices. The topics discussed in this book are Int-soft semigroup, Int-soft left (right) ideal, Int-soft -fuzzy bi-ideal coincide in regular semigroups.

Using a fuzzy set with ﬁnite image, an (∈, ∈∨ qkδ)-fuzzy Fuzzy semigroups book is established. Fuzzy and Neutrosophic Sets in Semigroups Size: 4MB. Fuzzy Semigroups (Studies in Fuzziness and Soft Computing) (v.

) by Mordeson, John N.; Malik, Davender S.; Kuroki, Nobuaki and a great selection of related books, art and collectibles available now at The book by Mordeson (Mordeson, Malik & Kuroki, ), deals with the theory of fuzzy semigroups and their use in fuzzy coding, fuzzy finite state machines and fuzzy languages.

Mordeson and Malik (Mordeson & Malik, ) deal with the application of the fuzzy approach to the automata and formal languages. Fuzzy Ideals Regular Semigroups Semilattices of Groups Fuzzy Congruences on Semigroups Fuzzy Congruences on T[superscript *]-pure Fuzzy semigroups book Prime Fuzzy Ideals Fuzzy Codes on Free Monoids Generalized State Machines Regular Fuzzy Expressions.

Series Title: Studies in fuzziness and soft computing, v. John N. Mordeson has 18 books on Goodreads with 70 ratings. John N. Mordeson’s most popular book is Fuzzy Semigroups: v. (Studies in Fuzziness and So. Get this from a library. Fuzzy semigroups. [John N Mordeson; D S Malik; Nobuaki Kuroki] -- In this book, modeling and control design of electric motors, namely step motors, brushless DC motors, and induction motors, are considered.

The book focuses on recent advances on. fuzzy groups, fuzzy rings, fuzzy ideals, fuzzy semirings, fuzzy near-rings and so on. In this book, we study the subject of Smarandache Fuzzy Algebra. Originally, the revolutionary theory of Smarandache notions was born as a paradoxist movement that challenged the status quo of existing by: It is shown that a fuzzy set of a BCI-algebra is an (is an element of, is an element of V q)-fuzzy a-ideal if and only if it is both an (is an element of, is an element of V q)-fuzzy p-ideal and.

In this paper, the definition of a fuzzy left (right) udeal (a fuzzy ideal, a fuzzy bi-ideal, a fuzzy interior ideal) generated by a fuzzy set in semigroups is given.

The depictions of them are. Fuzzy Sets and Systems 60 () North-Holland Fuzzy semirings J. Ahsan, K. Saifullah Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia M.

Farid Khan Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan Received March Revised May Abstract: In this paper we. some topics in fuzzy algebra Download some topics in fuzzy algebra or read online books in PDF, EPUB, Tuebl, and Mobi Format.

Click Download or Read Online button to get some topics in fuzzy algebra book now. This site is like a library, Use search box in. Abstract. In this chapter, we introduce the concept of a T*-pure semigroup and show that a semigroup S is regular and T*-pure if and only if S is a semilattice of groups.

We also show that a semigroup S is T*-pure if and only if S 3 is a semilattice of groups. Moreover, we study group congruences and semilattice congruences on such a semigroup and give some properties of Cited by: 8. 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 : Jun et al.

initiated the concept of soft ordered semigroups and later many researchers worked on the notions of fuzzy soft ordered semigroups, fuzzy soft left (resp. right) ideals and many more. The fundamental idea of this paper is to develop a new theory known as possibility fuzzy soft ordered semigroups by: 1.

1 Introduction. As a useful generalization of the fuzzy set, Torra [] introduced the hesitant fuzzy set which permits the membership degree of an element to a set to be represented by a set of possible values between 0 and 1 (see []).The hesitant fuzzy set provides a more accurate representation of peoples hesitancy in stating their preferences over objects than the Cited by: 2.

Characterization of regular ordered semigroups in terms of fuzzy right, fuzzy left and fuzzy quasi-ideals It is well known that a semigroup (resp. ordered semigroup) S is regular if and only if the right ideals and the left ideals of S are idempotent, and for each right ideal R and each left ideal L of S, the product RL (resp.

(RL ]) is a Cited by: Fuzzy mathematics forms a branch of mathematics related to fuzzy set theory and fuzzy started in after the publication of Lotfi Asker Zadeh's seminal work Fuzzy sets. A fuzzy subset A of a set X is a function A:X→L, where L is the interval [0,1].

This function is also called a membership function. A membership function is a generalization of a characteristic function or. Fuzzy Semigroups Series: Studies in Fuzziness and Soft Computing, Vol. Recent Research on Fuzzy Semigroups Theory and application in the areas of fuzzy coding theory, fuzzy finite state machines, fuzzy languages.

In this book, modeling and control design of. account of fuzzy sub-semigroups and fuzzy ideals of a semigroup. The book concentrates on theoretical aspects, but also includes applications in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages.

Basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages are reviewed and. Properties of Smarandache fuzzy semigroups, groupoids, loops, bigroupoids, biloops, non-associative rings, birings, vector spaces, semirings, semivector spaces, non-associative semirings, bisemirings, near-rings, non-associative near-ring, and binear-rings are presented in the second part of this book together with examples, solved and unsolved.

In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation. The binary operation of a semigroup is most often denoted multiplicatively: xy, or simply xy, denotes the result of applying the semigroup operation to the ordered pair (x, y).Associativity is formally expressed as that (xy)z = x(yz) for all x, y and z.

AbstractThe purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation.

Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals are derived. The lattice structures of all ∈, ∈ ∨qk-fuzzy (interior) ideals on such fuzzy ordered Author: Xiaokun Huang, Qingguo Li.

interval semigroups like fuzzy interval semigroups, interval symmetric semigroups, special symmetric interval semigroups, interval matrix semigroups and interval polynomial semigroups are defined and discussed. This book has eight chapters.

The main feature of this book is that we suggest problems in the eighth chapter. Kuroki () studied fuzzy interior ideals in semigroups. Murali Krishna Rao(, ) introduced bi-quasi-ideals, bi-interior ideals in semirings, bi-quasi-ideals and fuzzy bi-quasi - ideals in Γ-semigroups and T-fuzzy ideals in ordered Γ-semirings.

In this paper, we introduce the notion of a fuzzy bi-interior Author: Venkateswarlu Bollineni, T Sri Lakshmi, Y Adi Narayana. The objective of this paper is put forward the novel concept of possibility fuzzy soft ideals and the possibility of fuzzy soft interior ideals.

The various results in the form of the theorems with these notions are presented and further validated by suitable examples. In modern life decision-making problems, there is a wide applicability of the possibility fuzzy soft ordered semigroup which Author: Sana Habib, Harish Garg, Yufeng Nie, Faiz Muhammad Khan.

In this book we introduce the notion of interval semigroups using intervals of the form [0, a], a is real. Several types of interval semigroups like fuzzy interval semigroups, interval symmetric semigroups, special symmetric interval semigroups, interval matrix semigroups and interval polynomial semigroups are defined and discussed.

AbstractIn this paper, we introduce a rough set in a universal set based on cores of successor classes with respect to level in a closed unit interval under a fuzzy relation, and some interesting properties are investigated.

Based on this point, we propose a rough completely prime ideal in a semigroup structure under a compatible preorder fuzzy relation, including the Author: Rukchart Prasertpong, Manoj Siripitukdet. This book presents an up-to-date account of research in important topics of fuzzy group theory.

It concentrates on the theoretical aspects of fuzzy subgroups of a group. It includes applications to abstract recognition problems and to coding theory. The book begins with basic properties of fuzzy subgroups. Fuzzy subgroups of Hamiltonian, solvable. The book contains not only theoretical results, but a wide range of applications in areas such as decision analysis, optimal allocation in possibilistics and mixed models, pattern classification, credibility measures, algorithms for modeling uncertain data, and numerical methods for solving fuzzy linear book offers an excellent.

In this book we introduce the notion of interval semigroups using intervals of the form [0, a], a is real. Several types of interval semigroups like fuzzy interval semigroups, interval symmetric semigroups, special symmetric interval semigroups, interval matrix semigroups and interval polynomial semigroups are defined and discussed.

This book has eight chapters. Characterizations of Regular Ordered Semigroups by (∈,∈∨(k ∗, q k))-Fuzzy Quasi-Ideals by Ahsan Mahboob *,†, Abdus Salam †, Md. Firoj Ali † and Noor Mohammad Khan † Department of Mathematics, Aligarh Muslim University, AligarhIndiaAuthor: Ahsan Mahboob, Abdus Salam, Md.

Firoj Ali, Noor Mohammad Khan. Abstract We give some propertes of fuzzy ideals and fuzzy biideals of a semigroup and characterize a regular semigroup, a semigroup that is a semilattice of left (right) simple semigroups, a Continue Reading.

Properties of Smarandache fuzzy semigroups, groupoids, loops, bigroupoids, biloops, non-associative rings, birings, vector spaces, semirings, semivector spaces, non-associative semirings, bisemirings, near-rings, non-associative near-rings, and binear-rings are presented in the second part of this book together with examples, solved and.

This book presents 16 unpublished, high-quality and peer-reviewed research papers on areas such as structure theory of semigroups, decidability vs. undecidability of word problems, regular von Neumann algebras, operator theory and operator approximations.The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems.

This paper concerns a relationship between rough sets and ternary semihypergroups. We introduce the notion of rough hyperideals and rough bi-hyperideals in ternary by: of fuzzy semigroups was ﬁrst initiated by Kuroki [18].

In [19], Kuroki initiated the notion fuzzy ideals, fuzzy bi-ideals, fuzzy quasi-ideals of a semigroup. The book by Mordeson et al. [21] deals with the theory of fuzzy semigroups and their use in fuzzy coding, fuzzy ﬁnite state machines and fuzzy languages.