IJPAM: Volume 107, No. 1 (2016)

ON FUZZY AUTOCATALYTIC SET

Azmirul Ashaari$^1$, Tahir Ahmad$^2$
$^{1}$Department of Mathematical Science
Faculty of Science
Universiti Teknologi Malaysia
81310 Skudai, Johor, MALAYSIA
$^{2}$Centre for Sustainable Nanomaterials
Ibnu Sina Institute for Scientific and Industrial Research
Universiti Teknologi Malaysia
81310 UTM, Skudai, Johor, MALAYSIA


Abstract. Fuzzy autocatalytic set (FACS) is one of the branch from graph theory. This FACS is used to introduce the fuzziness on connectivity of a graph. The introduction of FACS has given more accurate concept in application according a real-life problem. In this paper, some properties on fuzzy autocatalytic set of a graph theory is presented. This result give a new insight of FACS which is then expand the development of Fuzzy autocatalytic set (FACS) in the future.

Received: January 22, 2016

AMS Subject Classification: 03E72, 05C50

Key Words and Phrases: graph theory, fuzzy graph, autocatalytic set, fuzzy autocatalytic set

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DOI: 10.12732/ijpam.v107i1.6 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 1
Pages: 59 - 68


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