How does the Dendrocoleum lacteum orient to light? A fuzzy modeling approach

Tron, Eviatar; Margaliot, Michael

doi:10.1016/j.fss.2005.03.008

Cited by 10 publications

(4 citation statements)

References 15 publications

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“…Proposition 1 [58] Consider the hybrid model with initial conditions l a (0) = 0, r(0) = r 0 , and light intensity l(t) = 0 for t < 0, and l(t) = 1 for t ≥ 0. Denote w := c 1 k 1 k 2 − c 2 , p 1 := sinh(k 1 ), and assume that the models parameters satisfy: where sinh -1 denotes the inverse hyperbolic sine function, and…”

Section: Discussionmentioning

confidence: 99%

“…The method consists of four steps: (1) identifying the state-variables; (2) restating the given verbal descriptions as an FRB relating these variables; (3) defining the fuzzy terms using suitable membership functions; and (4) inferring the FRB to obtain a well-defined mathematical model. This approach was used to derive mathematical models for: (1) the territorial behavior of fish [57]; (2) the orientation of a planarian to light [58]; (3) the foraging behavior of ants [49]; and (4) the mechanisms regulating the population size in flies [47]. In all these examples, the starting point was a detailed verbal description of the natural phenomenon.…”

Section: Fuzzy Modeling Of Animal Behaviormentioning

confidence: 99%

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Biomimicry and Fuzzy Modeling: A Match Made in Heaven

Margaliot

2008

IEEE Comput. Intell. Mag.

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Biomimicry, the design of artificial systems that mimic natural behavior, is recently attracting considerable interest. Biomimicry requires a reverse engineering process; the behavior of a biological agent is analyzed in order to mimic this behavior in an artificial system. In many cases, biologists have already studied the relevant behavior and provided a detailed verbal description of it. Mimicking the natural behavior is then reduced to the following problem: how can we convert the given verbal description into a well-defined mathematical formula or algorithm that can be implemented by an artificial system? Fuzzy modeling (FM), with its ability to handle and manipulate verbal information, constitutes a natural approach for addressing this problem. The application of FM in this context may lead to a systematic approach for biomimcry, namely, given a verbal description of an animal's behavior (e.g., the foraging behavior of ants), apply FM to obtain a mathematical model of this behavior which can be implemented by artificial systems (e.g., autonomous robots).The purpose of this position paper is to highlight these issues and to alert the attention of the computational intelligence community to this emerging application of FM.

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Section: Discussionmentioning

confidence: 99%

Section: Fuzzy Modeling Of Animal Behaviormentioning

confidence: 99%

Biomimicry and Fuzzy Modeling: A Match Made in Heaven

Margaliot

2008

IEEE Comput. Intell. Mag.

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“…Tron and Margaliot [20,21] advocated fuzzy logic theory as the most suitable tool for transforming verbal descriptions of various observed phenomena into suitable mathematical models. This approach is congruent with the notion that the real power of fuzzy logic is in its ability to handle and manipulate linguistic information based on perceptions (see, e.g., [7,12,13,23]).…”

Section: Introductionmentioning

confidence: 99%

Nicholson's blowflies revisited: A fuzzy modeling approach

Rashkovsky

Margaliot

2007

Fuzzy Sets and Systems

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“…In this chapter, we review this approach and its application to two examples from the field of animal behavior [7,8]. There are several reasons why our work focuses on models from ethology.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Natural Phenomena: A Fuzzy Logic Approach

Margaliot¹

Fuzzy Logic

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Summary. In many fields of science human observers have provided verbal descriptions and explanations of various systems. A formal mathematical model is indispensable when we wish to rigorously analyze these systems. In this chapter, we survey some recent results on transforming verbal descriptions into mathematical models using fuzzy modeling. This is a simple and direct approach that offers a unique advantage-the close relationship between the verbal description and the mathematical model can be used to verify the validity of the verbal explanation suggested by the observer. We review two applications of this approach from the field of ethology: the territorial behavior of the fish and the orientation to light of a flat worm. We believe that the fuzzy modeling approach demonstrated here may supply a suitable framework for biomimicry, that is, the design of artificial systems based on mimicking a natural behavior observed in nature.keywords: Linguistic modeling, animal and human behavior, territorial behavior, mathematical modeling in biology, hybrid systems, discrete-event systems, biomimicry.

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How does the Dendrocoleum lacteum orient to light? A fuzzy modeling approach

Cited by 10 publications

References 15 publications

Biomimicry and Fuzzy Modeling: A Match Made in Heaven

Biomimicry and Fuzzy Modeling: A Match Made in Heaven

Nicholson's blowflies revisited: A fuzzy modeling approach

Mathematical Modeling of Natural Phenomena: A Fuzzy Logic Approach

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