Coordinated transformation for fuzzy autocatalytic set of fuzzy graph type-3
Fuzzy Autocatalytic Set (FACS) of fuzzy graph Type-3 was established in the effort to describe the underlying phenomena of a clinical waste incineration process. Further research could be explored to scrutinize this concept especially in looking at its mathematical structure. In this paper, we highl...
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Science Publications
2016
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author | Ahmad, Tahir Abu Bakar, Sumarni Baharun, Sabariah Binjadhnan, Faisal A. M. |
author_facet | Ahmad, Tahir Abu Bakar, Sumarni Baharun, Sabariah Binjadhnan, Faisal A. M. |
author_sort | Ahmad, Tahir |
collection | ePrints |
description | Fuzzy Autocatalytic Set (FACS) of fuzzy graph Type-3 was established in the effort to describe the underlying phenomena of a clinical waste incineration process. Further research could be explored to scrutinize this concept especially in looking at its mathematical structure. In this paper, we highlighted the mathematical structures of FACS particularly on the algebraic structures of its matrix and graph. New definitions and theorems were generated through this investigation which leads to the visualization of the concept in Euclidean space. This visualization was accomplished through the transformation of non coordinated FACS to coordinated FACS in space. Eventually, the performance of coordinated FACS is then compared to the non-coordinated FACS in respect to the clinical waste incineration process. |
first_indexed | 2024-03-05T19:59:30Z |
format | Article |
id | utm.eprints-69093 |
institution | Universiti Teknologi Malaysia - ePrints |
last_indexed | 2024-03-05T19:59:30Z |
publishDate | 2016 |
publisher | Science Publications |
record_format | dspace |
spelling | utm.eprints-690932017-11-20T08:52:10Z http://eprints.utm.my/69093/ Coordinated transformation for fuzzy autocatalytic set of fuzzy graph type-3 Ahmad, Tahir Abu Bakar, Sumarni Baharun, Sabariah Binjadhnan, Faisal A. M. QA Mathematics Fuzzy Autocatalytic Set (FACS) of fuzzy graph Type-3 was established in the effort to describe the underlying phenomena of a clinical waste incineration process. Further research could be explored to scrutinize this concept especially in looking at its mathematical structure. In this paper, we highlighted the mathematical structures of FACS particularly on the algebraic structures of its matrix and graph. New definitions and theorems were generated through this investigation which leads to the visualization of the concept in Euclidean space. This visualization was accomplished through the transformation of non coordinated FACS to coordinated FACS in space. Eventually, the performance of coordinated FACS is then compared to the non-coordinated FACS in respect to the clinical waste incineration process. Science Publications 2016 Article PeerReviewed Ahmad, Tahir and Abu Bakar, Sumarni and Baharun, Sabariah and Binjadhnan, Faisal A. M. (2016) Coordinated transformation for fuzzy autocatalytic set of fuzzy graph type-3. Journal of Mathematics and Statistics, 11 (4). pp. 119-127. ISSN 1549-3644 http://dx.doi.org/10.3844/jmssp.2015.119.127 DOI:10.3844/jmssp.2015.119.127 |
spellingShingle | QA Mathematics Ahmad, Tahir Abu Bakar, Sumarni Baharun, Sabariah Binjadhnan, Faisal A. M. Coordinated transformation for fuzzy autocatalytic set of fuzzy graph type-3 |
title | Coordinated transformation for fuzzy autocatalytic set of fuzzy graph type-3 |
title_full | Coordinated transformation for fuzzy autocatalytic set of fuzzy graph type-3 |
title_fullStr | Coordinated transformation for fuzzy autocatalytic set of fuzzy graph type-3 |
title_full_unstemmed | Coordinated transformation for fuzzy autocatalytic set of fuzzy graph type-3 |
title_short | Coordinated transformation for fuzzy autocatalytic set of fuzzy graph type-3 |
title_sort | coordinated transformation for fuzzy autocatalytic set of fuzzy graph type 3 |
topic | QA Mathematics |
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