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On structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (FFSSM's)

Large systems consist of many functional components. The interconnectivity of the components determines the output performance of large complex systems. In the current study, a detailed treatise on a multi-connected feedback fuzzy state space model (FFSSM) of a dynamical system is given. The conce...

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Main Authors: Ahmad, Tahir, Khan, Izaz Ullah, Maan, Normah
Format: Article
Published: 2012
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/47295/
http://www.aensiweb.com/old/jasr/jasr/2012/1103-1113.pdf
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spelling my.utm.472952019-03-31T08:38:01Z http://eprints.utm.my/id/eprint/47295/ On structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (FFSSM's) Ahmad, Tahir Khan, Izaz Ullah Maan, Normah Q Science Large systems consist of many functional components. The interconnectivity of the components determines the output performance of large complex systems. In the current study, a detailed treatise on a multi-connected feedback fuzzy state space model (FFSSM) of a dynamical system is given. The concept of a single FFSSM is generalized to a large connected system of FFSSM. The convexity and normality of the induced solution of a single FFSSM helps generalize these properties to large connected systems of FFSSM. Likewise, the application of the Modified Optimized Defuzzified Value Theorem and Extended Modified Optimized Defuzzified Value Theorem help in deriving two important theorems for determining the optimal inputs in multi-connected systems of FFSSM. The BIBO stability of the multi-connected system of FFSSM’s is also studied. Another two important parts of the study are the application of the number theoretic concepts and fuzzy relational calculus in the study of the physical properties of the FFSSM’s. 2012 Article PeerReviewed Ahmad, Tahir and Khan, Izaz Ullah and Maan, Normah (2012) On structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (FFSSM's). Journal of Applied Sciences Research, 8 (2). ISSN 1819-544X http://www.aensiweb.com/old/jasr/jasr/2012/1103-1113.pdf
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 Q Science
spellingShingle Q Science
Ahmad, Tahir
Khan, Izaz Ullah
Maan, Normah
On structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (FFSSM's)
description Large systems consist of many functional components. The interconnectivity of the components determines the output performance of large complex systems. In the current study, a detailed treatise on a multi-connected feedback fuzzy state space model (FFSSM) of a dynamical system is given. The concept of a single FFSSM is generalized to a large connected system of FFSSM. The convexity and normality of the induced solution of a single FFSSM helps generalize these properties to large connected systems of FFSSM. Likewise, the application of the Modified Optimized Defuzzified Value Theorem and Extended Modified Optimized Defuzzified Value Theorem help in deriving two important theorems for determining the optimal inputs in multi-connected systems of FFSSM. The BIBO stability of the multi-connected system of FFSSM’s is also studied. Another two important parts of the study are the application of the number theoretic concepts and fuzzy relational calculus in the study of the physical properties of the FFSSM’s.
format Article
author Ahmad, Tahir
Khan, Izaz Ullah
Maan, Normah
author_facet Ahmad, Tahir
Khan, Izaz Ullah
Maan, Normah
author_sort Ahmad, Tahir
title On structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (FFSSM's)
title_short On structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (FFSSM's)
title_full On structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (FFSSM's)
title_fullStr On structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (FFSSM's)
title_full_unstemmed On structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (FFSSM's)
title_sort on structural, number theorectic and fuzzy relational properties of large multi-conneced systems of feedback fuzzy state models (ffssm's)
publishDate 2012
url http://eprints.utm.my/id/eprint/47295/
http://www.aensiweb.com/old/jasr/jasr/2012/1103-1113.pdf
_version_ 1643652280513200128
score 13.211869

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