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Transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3

Fuzzy Autocatalytic Set of Fuzzy Graph of Type-3 looking at its adjacency matrix was introduced in the modeling of clinical waste incineration process. Several properties had been developed through that investigation particularly on its relations to Perron-Frobenius theory. We anticipate that many r...

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Main Authors: Abu Bakar, Sumarni, Ahmad, Tahir, Baharun, Sabariah
Format: Article
Published: Mili Publications 2010
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/31752/
http://www.mililink.com/issue_content.php?id=59&iId=158
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spelling my.utm.317522018-09-30T08:15:25Z http://eprints.utm.my/id/eprint/31752/ Transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3 Abu Bakar, Sumarni Ahmad, Tahir Baharun, Sabariah QA Mathematics Fuzzy Autocatalytic Set of Fuzzy Graph of Type-3 looking at its adjacency matrix was introduced in the modeling of clinical waste incineration process. Several properties had been developed through that investigation particularly on its relations to Perron-Frobenius theory. We anticipate that many results and properties can be further scrutinized looking at the FACS in the light of its transition probability matrix representation. With this in mind, we have embarked into this approach. This paper highlighted our findings on the investigation on FACS and relates to fundamental Ergodic theorem for Markov Chain and show the existence of Perron vector. Similarity between properties of adjacency matrix and transition matrix is discussed. Mili Publications 2010-07 Article PeerReviewed Abu Bakar, Sumarni and Ahmad, Tahir and Baharun, Sabariah (2010) Transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3. Advances and Applications in Mathematical Sciences, 5 (1). pp. 25-38. ISSN 0974-6803 http://www.mililink.com/issue_content.php?id=59&iId=158
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Abu Bakar, Sumarni
Ahmad, Tahir
Baharun, Sabariah
Transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3
description Fuzzy Autocatalytic Set of Fuzzy Graph of Type-3 looking at its adjacency matrix was introduced in the modeling of clinical waste incineration process. Several properties had been developed through that investigation particularly on its relations to Perron-Frobenius theory. We anticipate that many results and properties can be further scrutinized looking at the FACS in the light of its transition probability matrix representation. With this in mind, we have embarked into this approach. This paper highlighted our findings on the investigation on FACS and relates to fundamental Ergodic theorem for Markov Chain and show the existence of Perron vector. Similarity between properties of adjacency matrix and transition matrix is discussed.
format Article
author Abu Bakar, Sumarni
Ahmad, Tahir
Baharun, Sabariah
author_facet Abu Bakar, Sumarni
Ahmad, Tahir
Baharun, Sabariah
author_sort Abu Bakar, Sumarni
title Transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3
title_short Transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3
title_full Transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3
title_fullStr Transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3
title_full_unstemmed Transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3
title_sort transition probability matrix for fuzzy autocatalytic set of fuzzy graph type-3
publisher Mili Publications
publishDate 2010
url http://eprints.utm.my/id/eprint/31752/
http://www.mililink.com/issue_content.php?id=59&iId=158
_version_ 1643648842219913216
score 13.211869

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