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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제13권 제2호
- 발행연도
- 2017.2
- 수록면
- 289 - 296 (8page)
- DOI
- 10.30948/afmi.2017.13.2.289
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초록· 키워드
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In this paper, we classify the fuzzy subgroups of the group $G = \mathbb{Z}_{p_1}\times \mathbb{Z}_{p_2}\times\cdots \times \mathbb{Z}_{p_n}$ where $p_1, p_2,\cdots, p_n$ are distinct primes and $n\in \mathbb{Z}^+$. We develop an algorithm for counting the distinct fuzzy subgroups of the group $G$ using the criss-cut counting technique. This is achieved by using the maximal chains of subgroups of $G$ and the equivalence relation given by Murali and Makamba in their research papers on equivalent fuzzy subgroups.
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참고문헌 (17)
참고문헌 신청
P.S. Das / 1981 / Fuzzy groups and level subgroups / J. Math. Anal. Appl 84:264~269
B. Humera / 2013 / On Fuzzy Subgroups of Finite Abelian Groups / International Mathematical Forum 8(4):181~190
M. Imanparast / 2013 / A Recursive Formula for the Number of Fuzzy Subgroups of Finite Cyclic Groups / Journal of Advances in Computer Research 4(1):55~63
V. Murali / 2001 / On an equivalence of fuzzy subgroups I / Fuzzy Sets and Systems 123:259~264
V. Murali / 2003 / On an equivalence of fuzzy subgroups II / Fuzzy Sets and Systems 136:93~104
B. Humera / 2013 / On Fuzzy Subgroups of Finite Abelian Groups / International Mathematical Forum 8(4):181~190
M. Imanparast / 2013 / A Recursive Formula for the Number of Fuzzy Subgroups of Finite Cyclic Groups / Journal of Advances in Computer Research 4(1):55~63
V. Murali / 2001 / On an equivalence of fuzzy subgroups I / Fuzzy Sets and Systems 123:259~264
V. Murali / 2003 / On an equivalence of fuzzy subgroups II / Fuzzy Sets and Systems 136:93~104
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