Fuzzy controller design based on stability criteria
Thomas Möllers (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Thomas Möllers (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Changjiu Zhou (2002)
International Journal of Applied Mathematics and Computer Science
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A novel approach to designing stable fuzzy controllers with perception-based information using fuzzy-arithmetic-based Lyapunov synthesis in the frame of computing with words (CW) is presented. It is shown that a set of conventional fuzzy control rules can be derived from the perception-based information using the standard-fuzzy-arithmetic-based Lyapunov synthesis approach. On the other hand, a singleton fuzzy controller can be devised by using a constrained-fuzzy-arithmetic-based Lyapunov...
Janusz Kacprzyk (1997)
Mathware and Soft Computing
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We discuss a prescriptive approach to multistage optimal fuzzy control of a fuzzy system, given by a fuzzy state transition equation. Fuzzy constraints and fuzzy goals at consecutive control stages are given, and their confluence, Bellman and Zadeh's fuzzy decision, is an explicit performance function to be optimized. First, we briefly survey previous basic solution methods of dynamic programming (Baldwin and Pilsworth, 1982) and branch-and-bound (Kacprzyk, 1979), which are plagued by...
Vladimir Pavlica, Dušan Petrovački (1999)
The Yugoslav Journal of Operations Research
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Chen, P.C., Chen, C.W., Chiang, W.L. (2008)
Mathematical Problems in Engineering
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Adam Grabowski (2014)
Formalized Mathematics
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In this article, we continue the development of the theory of fuzzy sets [23], started with [14] with the future aim to provide the formalization of fuzzy numbers [8] in terms reflecting the current state of the Mizar Mathematical Library. Note that in order to have more usable approach in [14], we revised that article as well; some of the ideas were described in [12]. As we can actually understand fuzzy sets just as their membership functions (via the equality of membership function...
Thien, Nguyen Van, Demetrovics, Janos, Thi, Vu Duc, Giang, Nguyen Long, Son, Nguyen Nhu (2016)
Serdica Journal of Computing
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In fuzzy granular computing, a fuzzy granular structure is the collection of fuzzy information granules and fuzzy information granularity is used to measure the granulation degree of a fuzzy granular structure. In general, the fuzzy information granularity characterizes discernibility ability among fuzzy information granules in a fuzzy granular structure. In recent years, researchers have proposed some concepts of fuzzy information granularity based on partial order relations. However,...
Congxin Wu (2008)
Banach Center Publications
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Georgiou, D.N., Kougias, I.E. (2002)
International Journal of Mathematics and Mathematical Sciences
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Frank Klawonn, Juan Luis Castro (1995)
Mathware and Soft Computing
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Fuzzy set theory is based on a `fuzzification' of the predicate in (element of), the concept of membership degrees is considered as fundamental. In this paper we elucidate the connection between indistinguishability modelled by fuzzy equivalence relations and fuzzy sets. We show that the indistinguishability inherent to fuzzy sets can be computed and that this indistinguishability cannot be overcome in approximate reasoning. For our investigations we generalize from the unit interval...
Miguel Delgado, José Luis Verdegay, M. Amparo Vila (1994)
Mathware and Soft Computing
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Two different definitions of a Fuzzy number may be found in the literature. Both fulfill Goguen's Fuzzification Principle but are different in nature because of their different starting points. The first one was introduced by Zadeh and has well suited arithmetic and algebraic properties. The second one, introduced by Gantner, Steinlage and Warren, is a good and formal representation of the concept from a topological point of view. The objective of this paper is...