IJPAM: Volume 115, No. 1 (2017)

Title

POSSIBLE PATHS IN AUTOCATALYTIC
AND FUZZY AUTOCATALYTIC SETS

Authors

Zainab Mahamud$^1$, Tahir Ahmad$^2$
$^{1,2}$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

Graph theory has been used to model some systems. Graph and fuzzy set have led to the concept of fuzzy graph. An Autocatalytic Set (ACS) is a concept formally introduced in chemistry as a set of catalytically integrated molecules. Fuzzy Autocatalytic Set (FACS) is a merge between fuzzy, graph and autocatalytic set (ACS). In this paper, some new characteristics on autocatalytic and fuzzy autocatalytic sets are presented. These characteristics are on possible paths in autocatalytic and fuzzy autocatalytic sets.

History

Received: December 28, 2016
Revised: April 10, 2017
Published: June 29, 2017

AMS Classification, Key Words

AMS Subject Classification: 03E72, 05C20, 05C38, 05C50
Key Words and Phrases: graph, fuzzy graph, autocatalytic set, fuzzy autocatalytic set

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How to Cite?

DOI: 10.12732/ijpam.v115i1.4 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: 2017
Volume: 115
Issue: 1
Pages: 43 - 58


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