Pdf we study the cauchy problem for differential equations, considering its parameters andor initial conditions given by fuzzy. Theory of fuzzy differential equations and inclusions taylor. Fuzzy differential inclusions and nonprobabilistic likelihood article pdf available in dynamic systems and applications 14. The partial averaging of fuzzy impulsive differential inclusions article pdf available in differential and integral equations 2478 july 2011 with 21 reads how we measure reads. Weka weka is a collection of machine learning algorithms for solving realworld data mining problems. Get your kindle here, or download a free kindle reading app.
On linear fuzzy differential equations by differential inclusions approach. Pdf fuzzy differential inclusions and nonprobabilistic. We introduce two types of differential inclusions with hukuhara derivative and consider properties of these inclusions. This shortcoming was solved by hullermeier5, who interpreted a fuzzy differential equation as a family of differential inclusions. Quasisolutions of fuzzy differential inclusions springerlink. Differential equations with fuzzy parameters via differential inclusions. Differential inclusions setvalued maps and viability theory. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. Pdf in this article we introduce the definition of the generalized solution of the fuzzy differential inclusion and find the. The other approach is to transform fde into differential inclusion with the fuzzy righthand sides so as to employ the existing theory of differential inclusions 1,3,4,6,12,14. In this paper the substantiation of the method of full averaging for fuzzy differential inclusions is considered.
This paper is devoted to differential inclusions the righthand sides of which are fuzzy subsets, whose membership functions are cost functions taking their values in 0. Theory of fuzzy differential equations and inclusions mathematical. Pdf the generalized solutions of the fuzzy differential inclusions. Keywordsdifferential inclusions, approximation methods, fuzzy initial value problem.
In this case, the transmission rate is considered as a fuzzy set. Komleva 2 department of applied mathematics, odessa state academy of civil engineering and architecture, didrihsona street. Pdf the generalized solutions of the fuzzy differential. In mathematics, differential inclusions are a generalization of the concept of ordinary differential. Theory of fuzzy differential equations and inclusions. Pdf fuzzy differential equations and the extension principle. Differential inclusions with hukuhara derivative springerlink. Buy theory of fuzzy differential equations and inclusions mathematical analysis and applications on. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and. Research article the partial averaging of fuzzy differential inclusions on finite interval andrejv.
Purchase approximation and optimization of discrete and differential inclusions 1st edition. Numerical methods for fuzzy differential inclusions core. An existence of the solutions for another system of fuzzy differential inclusions is also proved by employing the fixed point theorem in the generalized metric space. Existence of solutions for implicit fuzzy differential inclusions. Fuzzy differential functions are applicable to realworld problems in engineering, computer science, and social science. Differential inclusions setvalued maps and viability. The theory of fuzzy differential inclusion is used to produce a solution of the model and a comparison between this solution and the one proposed by the deterministic model is made too. The generalized solutions of the fuzzy differential inclusions. That relevance makes for rapid development of new ideas and theories. We introduce the notion of a quasisolution of a fuzzy differential inclusion and study the relationship between the sets of ordinary solutions and quasisolutions. New results on multiple solutions for intuitionistic fuzzy differential. Fuzzy differential functions are applicable to realworld problems in engineering, computer science, and social.
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