The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
This article analyzes the quotient space of compact intervals of ℝ with respect to the family of symmetric intervals. We analyze some algebraic and topological properties of this quotient space. Since the space of compact intervals can be embed on this quotient space, we introduce a concept of differentiability for interval-valued functions and then, we make a comparison with other concepts of differentiability...
In this paper we consider optimization problems with fuzzy-valued objective function. For this class of fuzzy optimization problems we obtain Karush-Kuhn-Tucker type optimality conditions considering the concept of strongly generalized differentiable fuzzy-valued functions.
In this article we show the importance of the class of fuzzy differential equations where the right hand side of the equation is a fuzzy function generated by applying Zadeh's extension principle. Through concrete examples, we show that fuzzy functions obtained by applying Zadeh's extension principle are more appropriate than fuzzy functions obtained by using the usual fuzzy interval arithmetic (R...
In this article we present different approaches to the difference of two intervals and its application to differentiability of interval-valued functions. Also, we show the relationship between some definitions of derivative for interval-valued functions.
In this paper we present an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. For this, given a compact fuzzy set, we construct a sequence of Lipschitz fuzzy sets using the sup-min-convolution which converge in D-metric to the compact fuzzy set original. The results obtained in this paper are a generalization of previous result obtained by the authors.
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.