有限群的子群、格和模糊子群

IF 1.3 Q2 MATHEMATICS, APPLIED

Fuzzy Information and Engineering Pub Date : 2022-04-03 DOI:10.1080/16168658.2022.2119828

L. Kamali Ardekani, B. Davvaz

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引用次数: 1

摘要

本文讨论有限群的模糊(正规)子群数目的计算问题。为了做到这一点，我们在的模糊(正规)子群的集合上使用了具有相容群理论基础的自然等价关系。的模糊(正规)子群的相应等价类与的(正规)子群的格和子群链的结构密切相关，它们终止于。在这方面，包容-排斥原则起着至关重要的作用，在某些情况下会导致递归关系，这种递归关系的解决方法很容易找到。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Subgroups Lattice and Fuzzy Subgroups of Finite Groups U 6n

In this paper, we treat accounting for the number of fuzzy (normal) subgroups of finite groups . In order to do this, we use the natural equivalence relation on the set of fuzzy (normal) subgroups of , which has a consistent group theoretical foundation. In fact, the corresponding equivalence classes of fuzzy (normal) subgroups of are closely connected to the structure of (normal) subgroups lattice of and chains of subgroups of , which terminate in . In this regards, the Inclusion-Exclusion principle plays an essential role and in some situations leads to recurrence relations, whose their solutions can be easily found.

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来源期刊

Fuzzy Information and Engineering Mathematics-Logic

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

40 weeks

期刊介绍： Fuzzy Information and Engineering—An International Journal wants to provide a unified communication platform for researchers in a wide area of topics from pure and applied mathematics, computer science, engineering, and other related fields. While also accepting fundamental work, the journal focuses on applications. Research papers, short communications, and reviews are welcome. Technical topics within the scope include: (1) Fuzzy Information a. Fuzzy information theory and information systems b. Fuzzy clustering and classification c. Fuzzy information processing d. Hardware and software co-design e. Fuzzy computer f. Fuzzy database and data mining g. Fuzzy image processing and pattern recognition h. Fuzzy information granulation i. Knowledge acquisition and representation in fuzzy information (2) Fuzzy Sets and Systems a. Fuzzy sets b. Fuzzy analysis c. Fuzzy topology and fuzzy mapping d. Fuzzy equation e. Fuzzy programming and optimal f. Fuzzy probability and statistic g. Fuzzy logic and algebra h. General systems i. Fuzzy socioeconomic system j. Fuzzy decision support system k. Fuzzy expert system (3) Soft Computing a. Soft computing theory and foundation b. Nerve cell algorithms c. Genetic algorithms d. Fuzzy approximation algorithms e. Computing with words and Quantum computation (4) Fuzzy Engineering a. Fuzzy control b. Fuzzy system engineering c. Fuzzy knowledge engineering d. Fuzzy management engineering e. Fuzzy design f. Fuzzy industrial engineering g. Fuzzy system modeling (5) Fuzzy Operations Research [...] (6) Artificial Intelligence [...] (7) Others [...]