Stationary Points—I: One-Dimensional p-Fuzzy Dynamical Systems
Author(s) -
João de Deus Mendes da Silva,
Jefferson Leite,
Rodney Carlos Bassanezi,
Moiseis dos Santos Cecconello
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/495864
Subject(s) - uniqueness , mathematics , dynamical systems theory , fuzzy logic , type (biology) , dynamical system (definition) , mathematical optimization , computer science , mathematical analysis , artificial intelligence , physics , ecology , quantum mechanics , biology
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 obtainedmathematical results
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