rough fuzzy sets and fuzzy rough sets pdf Tuesday, June 1, 2021 1:43:24 PM

Rough Fuzzy Sets And Fuzzy Rough Sets Pdf

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Metrics details. Fuzzy ideal approximation connectedness and the fuzzy ideal approximation continuity between fuzzy ideal approximation spaces are introduced.

Rough Atanassov's Intuitionistic Fuzzy Sets Model over Two Universes and Its Applications

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Li, F. L-valued Fuzzy Rough Sets. Iranian Journal of Fuzzy Systems , 16 1 , Fei Li; Yueli Yue. Iranian Journal of Fuzzy Systems , 16, 1, , Iranian Journal of Fuzzy Systems , ; 16 1 :

Putting Rough Sets and Fuzzy Sets Together

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. Thiele Published By replacing this equivalence relation by an arbitrary binary relation satisfying certain properties, for instance, reflexivity and transitivity we shall obtain generalized crisp!! Our ideas in the paper are: 1. Save to Library.

Recently, much attention has been given to the rough set models based on two universes. And many rough set models based on two universes have been developed from different points of view. In this paper, a novel model, that is, rough Atanassov's intuitionistic fuzzy sets model over two different universes, is firstly proposed from Atanassov's intuitionistic point of view. We study some important properties of approximation operators and investigate the rough degree in the novel model. Furthermore, an illustrated example is employed to demonstrate the conceptual arguments of the model. Finally, rough Atanassov's intuitionistic fuzzy sets approach to decision is presented in the generalized approximation space over two universes by considering the problem about how to arrange patients to see the doctor reasonably, from which it can be found that the method is valuable and useful in real life. Rough set theory, originally proposed by Pawlak in the early s [ 1 — 3 ] as a useful tool for treating with uncertainty or imprecision information, has been successfully applied in the fields of artificial intelligence, pattern recognition, medical diagnosis, data mining, conflict analysis, algebra [ 4 — 12 ], and so on.

Skip to Main Content. A not-for-profit organization, IEEE is the world's largest technical professional organization dedicated to advancing technology for the benefit of humanity. Use of this web site signifies your agreement to the terms and conditions. Fuzzy Rough Sets: The Forgotten Step Abstract: Traditional rough set theory uses equivalence relations to compute lower and upper approximations of sets. The corresponding equivalence classes either coincide or are disjoint.

Fuzzy rough sets with a fuzzy ideal

Intelligent Decision Support pp Cite as. In this paper we argue that fuzzy sets and rough sets aim to different purposes and that it is more natural to try to combine the two models of uncertainty vagueness for fuzzy sets and coarseness for rough sets in order to get a more accurate account of imperfect information. First, the upper and lower approximations of a fuzzy set are defined, when the universe of discourse of a fuzzy sets is coarsened by means of an equivalence relation.

Make Submissions Propose a Special Issue. Download PDF. In this paper, a color image segmentation algorithm is proposed by extracting both texture and color features and applying them to the one -against-all multi class support vector machine MSVM classifier for segmentation. The fuzzy set based membership functions capably handle the problem of overlapping clusters.

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