Differentials of fuzzy functions

Puri, Madan L.; Ralescu, Dan A.

doi:10.1016/0022-247x(83)90169-5

Cited by 938 publications

(234 citation statements)

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“…These notions have been introduced by Puri and Ralescu (1983), and Goetschel and Voxman (1983). The major reference on this topic is the book by Diamond and Kloeden (1994) (See also Chapter 11 by Diamond and Kloeden in this volume).…”

Section: Fuzzy Algebraic Structuresmentioning

confidence: 99%

Fuzzy Sets: History and Basic Notions

Dubois¹,

Ostasiewicz

Prade³

2000

The Handbooks of Fuzzy Sets Series

138

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Abstract. This paper is an introduction to fuzzy set theory. It has several purposes. First, it tries to explain the emergence of fuzzy sets from an historical perspective. Looking back to the history of sciences, it seems that fuzzy sets were bound to appear at some point in the 20th century. Indeed, Zadeh's works have cristalized and popularized a concern that has appeared in the first half of the century, mainly in philosophical circles. Another purpose of the paper is to scan the basic definitions in the field, that are required for a proper reading of the rest of the volume, as well as the other volumes of the Handbooks of Fuzzy Sets Series. This Chapter also contains a discussion on operational semantics of the generally too abstract notion of membership function. Lastly, a survey of variants of fuzzy sets and related matters is provided.

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Section: Fuzzy Algebraic Structuresmentioning

confidence: 99%

Fuzzy Sets: History and Basic Notions

Dubois¹,

Ostasiewicz

Prade³

2000

The Handbooks of Fuzzy Sets Series

138

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“…Existem várias interpretações de sistemas dinâmicos fuzzy que estão relacionadas com as diferentes formas de diferenciabilidade no contexto fuzzy, tais como a H-diferenciabilidade adotada por Kaleva em 1987 [5] e a derivada de Hukuhara [9]. Oberguggenberger e Pittschamnn em 1999 determinam as soluções fuzzy aplicando a extenção de Zadeh sobre as soluções determinísticas de sistemas dinâmicos [8].…”

Section: Introductionunclassified

Versão Global do Princípio de Invariância Fuzzy, via extensão de Zadeh

Coimbra¹,

Alberto²

2018

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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“…The concept of fuzzy numbers was introduced by Zadeh [11,30]. By using H-derivative, several articles [26,12,13] have demonstrated the solution to the fuzzy differential equations. However, Bede and Gal [7] introduced a generalized definition for fuzzy derivative and a fuzzy-number-valued function.…”

Section: Introductionmentioning

confidence: 99%

Approximate solution of second-order fuzzy boundary value problem

Bayrak¹

2017

ntmsci

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Abstract:In this paper, a new approach is proposed based on the Adomian Decomposition Method(ADM) with Green's function in order to find a solution for the second-order fuzzy boundary value problem under generalized H-differentiability. The proposed technique divides the domain and builds on Green's function before installing the modified recursive scheme. Some examples are presented to illustrate the efficiency of the proposed technique.

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Differentials of fuzzy functions

Cited by 938 publications

References 3 publications

Fuzzy Sets: History and Basic Notions

Fuzzy Sets: History and Basic Notions

Versão Global do Princípio de Invariância Fuzzy, via extensão de Zadeh

Approximate solution of second-order fuzzy boundary value problem

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