A RECURSIVE FORMULA FOR THE NUMBER OF FUZZY SUBGROUPS OF FINITE CYCLIC GROUPS

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IMANPARAST MAHDI; DARABI HAMID

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Journal: JOURNAL OF ADVANCES IN COMPUTER RESEARCH Year:2013 | Volume:4 | Issue:1 (11) Page(s): 55-63

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Title

A RECURSIVE FORMULA FOR THE NUMBER OF FUZZY SUBGROUPS OF FINITE CYCLIC GROUPS

Author(s)

IMANPARAST MAHDI | DARABI HAMID | Issue Writer Certificate

Keywords

FUZZY GROUPS

LATTICE

FINITE CYCLIC GROUPS

CHAINS

Abstract

FUZZY GROUPS and fuzzy theory have a lot of applications in several sciences such as mathematics, computer science, computer and electrical engineering. Hence, counting the number of fuzzy subgroups of finite groups to classify them is an important issue in fuzzy theory. The Main goal of this paper is to give an explicit formula for the number of fuzzy subgroups of a finite cyclic group G=Zp1×Zp2×Zp3×…×Zpk, where p1, p2, …, pk are distinct prime numbers. We introduce a very simple recursive formula to count the number of subgroups of G.

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APA: Copy

IMANPARAST, MAHDI, & DARABI, HAMID. (2013). A RECURSIVE FORMULA FOR THE NUMBER OF FUZZY SUBGROUPS OF FINITE CYCLIC GROUPS. JOURNAL OF ADVANCES IN COMPUTER RESEARCH, 4(1 (11)), 55-63. SID. https://sid.ir/paper/328730/en

Vancouver: Copy

IMANPARAST MAHDI, DARABI HAMID. A RECURSIVE FORMULA FOR THE NUMBER OF FUZZY SUBGROUPS OF FINITE CYCLIC GROUPS. JOURNAL OF ADVANCES IN COMPUTER RESEARCH[Internet]. 2013;4(1 (11)):55-63. Available from: https://sid.ir/paper/328730/en

IEEE: Copy

MAHDI IMANPARAST, and HAMID DARABI, “A RECURSIVE FORMULA FOR THE NUMBER OF FUZZY SUBGROUPS OF FINITE CYCLIC GROUPS,” JOURNAL OF ADVANCES IN COMPUTER RESEARCH, vol. 4, no. 1 (11), pp. 55–63, 2013, [Online]. Available: https://sid.ir/paper/328730/en

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