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Fuzzy metrization of the spaces of idempotent measures

European Journal of Mathematics, 2019
There exists the notion of fuzzy metric space of [\textit{I. Kramosil} and \textit{J. Michalek}, Kybernetika 11, 336--344 (1975; Zbl 0319.54002)] motivated by the concept of statistical metric space of [\textit{B. Schweizer} and \textit{A. Sklar}, Pac. J. Math. 10, 313--334 (1960; Zbl 0091.29801)].
Brydun, Viktoriya   +2 more
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Measures of fuzzy semicompactness in $L$-fuzzy topological spaces

2013
In this paper, the notion of fuzzy semicompactness degrees is in- troduced in L-fuzzy topological spaces by means of the implication operation of L. Characterizations of fuzzy semicompactness degrees in L-fuzzy topologi- cal spaces are obtained, and some properties of fuzzy semicompactness degrees are researched.
Yang, Wen-Hua, Li, Sheng-Gang, Zhao, Hu
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Some notes on the regularity of fuzzy measures on metric spaces

Fuzzy Sets and Systems, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minghu Ha 0001, Xizhao Wang
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Fuzzy Measures and Choquet Integral on Discrete Spaces

2006
This paper studies some relationships between fuzzy relations, fuzzy graphs and fuzzy measure. It is shown that a fundamental theorem of Discrete Convex Analysis is derived from the theory of fuzzy measures and the Choquet integral.
Yasuo Narukawa, Vicenç Torra
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Measures of general fuzzy rough sets on a probabilistic space

Information Sciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Degang Chen 0002   +2 more
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On the existence of probability measures on fuzzy measurable spaces

Fuzzy Sets and Systems, 1991
An \(F\)-quantum space [see the author and the reviewer, Fuzzy Sets Syst. 39, No. 1, 65-73 (1991)] is a couple \((X,M)\), where \(X\neq\emptyset\) and \(M\subset\langle 0,1\rangle^ X\) such that \(1_ X\in M\), \((1/2)_ X\not\in M\), \(f\in M\) implies \(1-f\in M\) and \(f_ n\in M\) \((n=1,2,\dots)\) implies \(\sup_ n f_ n\in M\). A probability on \(M\)
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Consideration on addressing in ubiquitous space using fuzzy measure

2007 IEEE International Conference on Systems, Man and Cybernetics, 2007
Recently many studies on ubiquitous computing have been done. In the studies, ubiquitous ID architecture is one of the most important ones. In this study, we propose a new method for connecting to objects with RFTDs through the Internet. At first, we introduce a simple application called "Portable Environment Communicator". We try to apply the proposed
Tomoyuki Araki   +2 more
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Regularity of fuzzy measures on complete and separable metric spaces

Journal of Intelligent & Fuzzy Systems, 2016
The regularity of continuous fuzzy measures on complete separable metric spaces are discussed. It is shown that a finite continuous fuzzy measure is tight on complete and separable metric spaces, and if the fuzzy measure is weakly null-additive, then it is regular.
Shan Cao 0005, Yuhuan Wang, Jun Li
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Comments on "Fuzzy Probabilistic Approximation Spaces and Their Information Measures

IEEE Transactions on Fuzzy Systems, 2008
Some errors in our original paper in defining relative reduct with information measures are pointed out in this paper. It is shown that in our original work, Theorems 10 and 19 hold just under the condition that decision tables are consistent. We also show that an attribute reduction algorithm based on the entropies can be used to select features in ...
Qinghua Hu, Zongxia Xie, Daren Yu
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A note on measures in fuzzy topological spaces

Fuzzy Sets and Systems, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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