Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems

p-Fuzzy dynamical systems are variational systems whose dynamic is obtained by means of a Mamdani type fuzzy rule-based system. In this paper, we will show the 1-dimensional p-fuzzy dynamical systems and will present theorems that establish conditions of existence and uniqueness of stationary points...

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Main Authors: Joao de Deus M. Silva, Jefferson Leite, Rodney C. Bassanezi, Moiseis S. Cecconello
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/495864
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author Joao de Deus M. Silva
Jefferson Leite
Rodney C. Bassanezi
Moiseis S. Cecconello
author_facet Joao de Deus M. Silva
Jefferson Leite
Rodney C. Bassanezi
Moiseis S. Cecconello
author_sort Joao de Deus M. Silva
collection DOAJ
description p-Fuzzy dynamical systems are variational systems whose dynamic is obtained by means of a Mamdani type fuzzy rule-based system. In this paper, we will show the 1-dimensional p-fuzzy dynamical systems and will present theorems that establish conditions of existence and uniqueness of stationary points. Besides the obtained analytical results, we will present examples that illustrate and confirm the obtained mathematical results.
format Article
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institution OA Journals
issn 1110-757X
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publishDate 2013-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-b11bca24613e487ea5b306ea6c9655632025-08-20T02:23:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/495864495864Stationary Points—I: One-Dimensional p-Fuzzy Dynamical SystemsJoao de Deus M. Silva0Jefferson Leite1Rodney C. Bassanezi2Moiseis S. Cecconello3CCET UFMA, 65085-558 Sao Luis, MA, BrazilDEMAT CCN, UFPI, 64063040 Teresina, PI, BrazilCMCC UFABC, 09210-170 Santo Andre, SP, BrazilDMAT ICET UFMT, 78075-202 Cuiaba, MT, Brazilp-Fuzzy dynamical systems are variational systems whose dynamic is obtained by means of a Mamdani type fuzzy rule-based system. In this paper, we will show the 1-dimensional p-fuzzy dynamical systems and will present theorems that establish conditions of existence and uniqueness of stationary points. Besides the obtained analytical results, we will present examples that illustrate and confirm the obtained mathematical results.http://dx.doi.org/10.1155/2013/495864
spellingShingle Joao de Deus M. Silva
Jefferson Leite
Rodney C. Bassanezi
Moiseis S. Cecconello
Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems
Journal of Applied Mathematics
title Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems
title_full Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems
title_fullStr Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems
title_full_unstemmed Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems
title_short Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems
title_sort stationary points i one dimensional p fuzzy dynamical systems
url http://dx.doi.org/10.1155/2013/495864
work_keys_str_mv AT joaodedeusmsilva stationarypointsionedimensionalpfuzzydynamicalsystems
AT jeffersonleite stationarypointsionedimensionalpfuzzydynamicalsystems
AT rodneycbassanezi stationarypointsionedimensionalpfuzzydynamicalsystems
AT moiseisscecconello stationarypointsionedimensionalpfuzzydynamicalsystems