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.
N-dimensional fuzzy sets are an extension of fuzzy sets where the membership values are n-tuples of real numbers in the unit interval [0,1] ordered in increasing order, called n-dimensional intervals. The set of n-dimensional intervals is denoted by Ln([0,1]). In the present paper, we consider the definitions and results obtained for n-dimensional fuzzy negations, applying these studies mainly on...
The aim of this work is to study the class II, I1, I2(U) of fuzzy implications obtained by a triple (I, I1, I2) of fuzzy implications. Thus, this paper discusses under which conditions such functions preserve the main properties of fuzzy implications. In addition, by conjugate fuzzy implications it is shown that an II, I1, I2(U) fuzzy implication can be preserved by action of an order automorphism...
n-dimensional fuzzy sets are an extension of fuzzy sets where the membership values are n-truples of real numbers in the unit interval [0, 1] ordered in increasing order, called n-dimensional intervals. The set of n-dimensional intervals is denoted by Ln([0, 1]). This paper aims to investigate the class of functions on Ln([0, 1]) which are continuous and strictly decreasing, called n-dimensional strict...
In this paper we introduce fuzzy α-lattices using the notion of fuzzy lattices defined by Chon in [6]. We propose a new notion of fuzzy α-lattices and fuzzy distributive α-lattices. We also prove some properties analogous to the classical theory and the notion of homomorphism from fuzzy α-lattices as well as the demonstration of some important propositions are provided.
We consider the notion of fuzzy lattices introduced by Chon and characterize fuzzy ideals in terms of the collapsed sum operator between two bounded fuzzy lattices L and M. We also define fuzzy a-ideals in fuzzy lattices and demonstrate the relation between fuzzy a-ideals of the collapsed sum on bounded fuzzy lattices.
We consider the fuzzy lattice notion introduced by Chon, characterize a fuzzy ideal on operation of product between bounded fuzzy lattices. Define fuzzy a-ideals of fuzzy lattices and some properties analogous to the classical theory are also proved. Moreover, we characterize a fuzzy a-ideal on operation of product between bounded fuzzy lattices and prove results involving a fuzzy a-ideal of the product...
We consider the notion of fuzzy lattice introduced by Chon (Korean J. Math 17 (2009), No. 4, 361–374), and define the operations of product and collapsed sum on bounded fuzzy lattice analogous to the classical theory. Also, we prove that the product and collapsed sum on bounded fuzzy lattices are fuzzy posets and, consequently, bounded fuzzy lattices.
We consider the fuzzy lattice notion introduced by Chon (Korean J. Math 17 (2009), No. 4, 361-374), define an α-ideals and α-filters for fuzzy lattices and characterize α-ideals and α-filters of fuzzy lattices by using its support and its level set. Moreover, we prove some similar properties to the classical theory of α-ideals and α-filters, such as, the class of α-ideals and α-filters are closed...
We characterize a fuzzy lattice through a fuzzy partial order relation, define a fuzzy ideal and fuzzy filter of fuzzy lattice, characterize a fuzzy ideal of fuzzy lattice using its level set and its support and show that a subset of a fuzzy lattice is a fuzzy ideal if and only if its support is a crisp ideal. Similarly, we show the same for its level set.
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.