The Study on the (L,M)-Fuzzy Independent Set Systems - Advances in Pure Mathematics

APM > Vol.6 No.13, December 2016

Advances in Pure Mathematics

Volume 6, Issue 13 (December 2016)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

The Study on the (L,M)-Fuzzy Independent Set Systems ()

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DOI: 10.4236/apm.2016.613078 1,237 Downloads 1,927 Views

Author(s)

Chun-E Huang^1*, Zhongli Liu¹, Yan Song², Xiruo Wang²

Affiliation(s)

¹College of Biochemical Engineering, Beijing Union University, Beijing, China.
²Mudanjiang Normal University, Mudanjiang, China.

ABSTRACT

Independent sets play an important role in matroid theory. In this paper, the definitions of pre-independent fuzzy set system and independent fuzzy set system in L-fuzzy setting are presented. Independent M-fuzzifying set system is introduced and some of its properties are discussed. Further independent (L,M)-fuzzy set system is given and some of its properties are obtained. The relations of these independent set systems in the setting of fuzzy vector spaces and fuzzy graphs are showed.

KEYWORDS

Pre-Independent L-Fuzzy Set System, Independent L-Fuzzy Set System, Independent M-Fuzzifying Set System, Independent (L, M)-Fuzzy Set System

Share and Cite:

Huang, C. , Liu, Z. , Song, Y. and Wang, X. (2016) The Study on the (L,M)-Fuzzy Independent Set Systems. Advances in Pure Mathematics, 6, 1057-1064. doi: 10.4236/apm.2016.613078.

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