广西师范大学学报(自然科学版) ›› 2011, Vol. 29 ›› Issue (2): 26-30.

• • 上一篇    下一篇

相伴模糊变换半群的一些性质

许固镇, 邓培民   

  1. 广西师范大学数学科学学院,广西桂林541004
  • 收稿日期:2011-01-10 发布日期:2018-11-19
  • 通讯作者: 邓培民(1950—),男,广西桂林人,广西师范大学教授。E-mail:dpeimin@163.com
  • 基金资助:
    国家自然科学基金资助项目(60473005);广西自然科学基金资助项目(0832103);广西研究生教育创新计划项目(2009106020701M32)

Some Properties on Associated Fuzzy Transformation Semigroup

XU Gu-zhen, DENG Pei-min   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2011-01-10 Published:2018-11-19

摘要: 本文主要讨论相伴模糊变换半群的可交换性、可交换的以及完全性,进一步探讨两个相伴模糊变换半群的直积、限制直积的可交换性、可交换的、完全的性质。

关键词: 相伴模糊变换半群, 可交换性, 可交换的, 完全的

Abstract: This paper discusses some properties of associated fuzzy transformation semigroup which mainly include the exchange property,commutative and completeness,and further studies the exchange property,commutative,completeness of the direct product and the restricted direct product of two associated fuzzy transformation semigroups.

Key words: fuzzy transformation semigroup, exchange property, commutative, completeness

中图分类号: 

  • O152.7
[1] 谢季坚,刘承平.模糊数学方法及其应用[M].武汉:华中科技大学出版社,2006.
[2] ZADEH L A.Fuzzy sets[J].Information and Control,1965,8(3):338-353.
[3] 杨京开,邓培民,易忠.模糊有限状态机的一些性质[J].模糊系统与模糊数学,2010,24(1):159-165.
[4] MALIK D S,MORDESON J N.Algebraic fuzzy automata theory[J].TheArabian Journal for Science and Engineering,2000,25(2):23-52.
[5] 林莉,邓婷,邓培民.有限自动机的积的可逆性讨论[J].广西师范大学学报:自然科学版,2004,22(1):52-53.
[6] 冯文俊,易忠,邓培民.状态机和变换半群积的覆盖关系[J].广西师范大学学报:自然科学版,2007,25(1):10-13.
[7] MALIK D S,MORDESON J N,SEN M K.The cartessian composition of fuzzy finite state machines[J].Kybernetes,1995,24(4):98-110.
[8] MALIK D S,MORDESON J N,SEN M K.Products of fuzzy finite state machines[J].Fuzzy Sets and Systems,1997,92(1):95-102.
[9] KUMBHOJKAR H V,CHAUDHARI S R.On covering of products of fuzzy finite state machines[J].Fuzzy Sets and Systems,2002,125(2):215-222.
[10] MALIK D S,MORDESON J N,SEN M K.On submachines of fuzzy finite state machines[J].Fuzzy Math,1994,2(4):781-792.
[11] MALIK D S,MORDESON J N,SEN M K.Semigroups of fuzzy finite statemachines[M]//WANG P P.Advances in Fuzzy Theory and Technology.Durham NC:Bookwrights Press,1994:87-98.
[1] 龙伟锋, 徐波. 保E*关系且方向保序部分一一变换半群的Green关系[J]. 广西师范大学学报(自然科学版), 2014, 32(4): 72-75.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!
版权所有 © 广西师范大学学报(自然科学版)编辑部
地址:广西桂林市三里店育才路15号 邮编:541004
电话:0773-5857325 E-mail: gxsdzkb@mailbox.gxnu.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发