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In this chapter, firstly, the definition of rough semigroups is given afresh. Then based on rough groups, rough subgroups, rough cosets, rough invariant subgroups, some properties of rough subgroups and rough invariant subgroups and the concept of rough quotient groups are introduced. Finally, based on some concepts of homomorphism and isomorphism of rough groups, basic homomorphism theorem and isomorphism theorem of rough groups are put forward and proved.

在这一章中,首先重新给出了粗糙半群的定义,其次在粗糙群、粗糙子群、粗糙陪集、粗糙不变子群的基础上,给出了粗糙子群的若干性质、粗糙不变子群的三个重要性质和粗糙商群的定义,最后在粗糙群同态与同构的基础上,给出了粗糙群同态基本定理与同构定理。

At the same time, some articles that have been studied about the theory combined pure mathematics with rough sets have been emerged, and some new mathematical notions, such as rough logic, rough ideal in semigroups, rough groups and rough subgroups, rough cosets, rough invariant subgroups and homomorphism and isomorphism of rough groups, are introduced.

同时,纯粹的数学理论与粗糙集理论结合起来进行研究已有文章出现,并不断有新的数学概念出现,如&粗糙逻辑&、&半群中的粗理想&、&粗糙陪集&、&粗糙不变子群&、&粗糙群和粗糙子群&、&粗糙群的同态与同构&。

In the sense of cutset, the relation between the rough set of a cutset and the cutset of a rough set, a fuzzy rough set of a fuzzy primary ideal in a semigroup is proved to be its fuzzy primary ideal. The sixed chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in rings, the corresponding results of a semigroup are generalized in a ring. The last chapter is Rough-fuzzy Subsemirings in Semirings, First, the lower and upper rough-fuzzy semirings together with the left and the right ideal are defined.

利用截集意义下,截集的粗糙集与粗糙集截集的关系,证明了在完备同余关系下半群中的模糊准素理想的粗糙集是模糊准素理想;第六章是环中粗准素理想和粗模糊准素理想,将半群中的相(来源:A70BC论文网www.abclunwen.com)应结果推广到环中;第七章是半环中的粗模糊子半环,首先,给出上粗模糊子半环及上粗模糊理想等概念,并研究了它们的性质。

In this Agreement, unless the context otherwise requires: headings are for convenience only and shall not affect the interpretation of this Agreement; words importing the singular include the plural and vice versa; words importing a gender include any gender; an expression importing a natural person includes any company, partnership, joint venture, association, corporation or other body corporate and any governmental agency; a reference to any law, regulation or rule includes all laws, regulations, or rules amending, consolidating or replacing them, and a reference to a law includes all regulations and rules under that law; a reference to a document includes an amendment or supplement to, or replacement or novation of, that document; a reference to a party to any document includes that party's successors and permitted assigns; a reference to an agreement includes an undertaking, agreement or legally enforceable arrangement or understanding whether or not in writing; a warranty, representation, undertaking, indemnity, covenant or agreement on the part of two or more persons binds them jointly and severally; and the schedules, annexures and appendices to this Agreement shall form an intergral pert of this Agreement.

在本协议中,除非上下文中有另外的规定,那么标题只是为了方便,不会影响对本协议的解释;单数的单词包含复数意义,反之亦然;表示某一性别的单词包含任何性别;一个自然人的表示法包含任何的公司,合伙人,合资公司,协会,法人或其他的合作实体和任何的政府代理机构;提到任何的法律,法规或规则是包括所有的法律,法规,或修订的规则,与之和并或取代之的规定,并且提到一部法律就包括该法律下的所有的法规和规则;提到一份文件时就包含该文件的修订本,补遗本,或其取代者或新旧接替者;提到任何文件中的一方就包括该方的承继人和获得允许的转移;提到一份协议就包括不管是否在书面写下的承诺,协议或是可依法实施的协议或非正式的协议;双方或更多人的一个保证,陈述,承诺,补偿,契约或协议对他们同时并分别起限制作用;并且本协议的时间表,附件和附录构成本协议的整体。

At the same time, some properties of rough Set in quotient ring are given and proved. The fifth chapter is Rough Primary Ideals and Rough Fuzzy Primary Ideals in Semigroups, the concept of rough primary ideals and fuzzy rough primary ideals in semigroups are introduced. Under the condition of the complete congruence relation, a rough set of a primary ideal in semigroups is proved to be its primary ideal.

同时,在商环中讨论了粗糙集的一些性质,并给出这些结论的严格证明;第五章是半群中的粗准素理想和粗模糊准素理想,首次提出了半群中的粗准素理想与粗模糊准素理想的概念,证明了在完备同余关系下,半群中准素理想的粗糙集是准素理想。

In rough sets based on accessible relation, we merge rough set theory and accessible relation into one model. Compared with classical rough set models(including Pawlak rough set model and various precise rough set model), the new model is more general.

基于可达关系的粗糙集模型是将可达关系应用于粗糙集理论中,这种模型比传统的粗糙集模型(Pawlak模型和可变精度粗糙集模型)更一般,将粗糙集理论推广到一般的方法论。

In this chapter, firstly, the definition of rough rings and its properties are given. Then the definition and properties of rough subrings, rough ideals and rough quotient rings are put forward and proved. Finally, homomorphism and isomorphism of rough rings is studied.

在这一章中,首先给出了粗糙环的定义及其性质,其次给出了粗糙子环、粗糙理想、粗糙商环的定义及其性质,最后研究了粗糙环的同态与同构。

Some new basic concepts are proposed in this paper, including the approximation space of generalization, rough approximation axiom, disturbance set axiom, classification principle of rough set, principle of nondeterministic even set, principle classification, bit quantum symmetric classification, of concentration, game classification, quantum logic incomparable set, bit space set, protocol relation, rough set function of protocol relation, rough classification algebra, rough simple algebra, etc., and a guess is also proposed.

提出了广义近似空间、粗近似公理、干扰集公理、粗糙集的分类原则、粗选原则、不确定偶集原则、精选原则、对策分类、量子逻辑分类、bit量子对称分类、不可比集、bit空间集、协议关系、粗糙集函数、粗糙分类代数和粗糙单代数等基本概念,并提出了一个猜想;展示了一些新观点;基于协议关系构造了粗糙商代数和粗糙子代数,给出了回避-归并算法及算例。

Following its accession to the World Intellectual Property Organization in 1980, China joined in succession more than ten international conventions, treaties, agreements and protocols, such as the "Paris Convention for the Protection of Industrial Property,""Patent Cooperation Treaty,""Budapest Treaty on the International Recognition of the Deposit of Microorganisms for thePurposes of Patent Procedure,""Locarno Agreement Establishing an International Classification for Industrial Designs,""Madrid Agreement Concerning the International Registration of Marks,""Nice Agreement Concerning the International Classification of Goods and Services for the Purpose of the Registration of Marks,""Protocol Relating to the Madrid Agreement Concerning the International Registration of Marks,""Agreement on Trade-related Aspects of Intellectual Property Rights,""International Convention for the Protection of New Varieties of Plants,""Berne Convention for the Protection of Literary and Artistic Works,""Universal Copyright Convention," and "Convention for the Protection of Producers of Phonograms Against Unauthorized Duplication."

自1980年加入世界知识产权组织后,中国相继加入《保护工业产权巴黎公约》、《专利合作条约》、《国际承认用于专利程序的微生物菌种保藏布达佩斯条约》、《工业品外观设计国际分类洛迦诺协定》、《商标国际注册马德里协定》、《商标注册用商品和服务国际分类尼斯协定》、《商标国际注册马德里协定有关议定书》、《与贸易有关的知识产权协议》、《国际植物新品种保护公约》、《保护文学和艺术作品伯尔尼公约》、《世界版权公约》和《保护录音制品制作者防止未经许可复制其录音制品公约》等10多个国际公约、条约、协定或议定书。

Following its accession to the World Intellectual Property Organization in 1980, China joined in succession more than ten international conventions, treaties, agreements and protocols, such as the "Paris Convention for the Protection of Industrial Property,""Patent Cooperation Treaty,""Budapest Treaty on the International Recognition of the Deposit of Microorganisms for the Purposes of Patent Procedure,""Locarno Agreement Establishing an International Classification for Industrial Designs,""Madrid Agreement Concerning the International Registration of Marks,""Nice Agreement Concerning the International Classification of Goods and Services for the Purpose of the Registration of Marks,""Protocol Relating to the Madrid Agreement Concerning the International Registration of Marks,""Agreement on Trade-related Aspects of Intellectual Property Rights,""International Convention for the Protection of New Varieties of Plants,""Berne Convention for the Protection of Literary and Artistic Works,""Universal Copyright Convention," and Convention for the Protection of Producers of Phonograms Against Unauthorized Duplication.

自1980年加入世界知识产权组织后,中国相继加入《保护工业产权巴黎公约》、《专利合作条约》、《国际承认用于专利程序的微生物菌种保藏布达佩斯条约》、《工业品外观设计国际分类洛迦诺协定》、《商标国际注册马德里协定》、《商标注册用商品和服务国际分类尼斯协定》、《商标国际注册马德里协定有关议定书》、《与贸易有关的知识产权协议》、《国际植物新品种保护公约》、《保护文学和艺术作品伯尔尼公约》、《世界版权公约》和《保护录音制品制作者防止未经许可复制其录音制品公约》等10多个国际公约、条约、协定或议定书。

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推荐网络例句

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜,使中国顾客比任何国家的人消费得更多。

A heavy dark cloud presaging rain or a storm .

预兆雨或暴风雨的沉重的黑云。