Results 311 to 320 of about 8,045,854 (358)

Inclusion measures, similarity measures, and the fuzziness of fuzzy sets and their relations

International Journal of Intelligent Systems, 2006
Summary: The inclusion measure, the similarity measure, and the fuzziness of fuzzy sets are three important measures in fuzzy set theory. In this article, we investigate the relations among inclusion measures, similarity measures, and the fuzziness of fuzzy sets, prove eight theorems that inclusion measures, similarity measures, and the fuzziness of ...
Wenyi Zeng, Hongxing Li 0004
openaire   +2 more sources

Measures of uncertainty based on Gaussian kernel for a fully fuzzy information system

Knowledge-Based Systems, 2020
The uncertainty of information plays an important role in practical applications, so how to capture the uncertainty of information systems becomes more and more popular.
Zhaowen Li, Xiaofeng Liu, Jianhua Dai, Jiaolong Chen, H. Fujita   +4 more
semanticscholar   +1 more source

Measuring the Fuzziness of Sets

Journal of Cybernetics, 1974
Set theory begins to be useful when there is some natural criterion for defining belonging to a set. Sets of objects without properties are uninteresting. Elements are assigned to sets because they share properties or conform to a rule. A set of elements is said to be fuzzy when we allow some elements to belong to the set unequally or more strongly ...
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Entropy of Fuzzy Measure

2010
A definition for the entropy of fuzzy measures defined on set systems is proposed. The underlying set is not necessarily the whole power set, but satisfy a condition of regularity. This definition encompasses the classical definition of Shannon for probability measures, as well as the definition of Marichal et al.
Aoi Honda, Michel Grabisch
openaire   +1 more source

On the weak convergence of sequences of fuzzy measures and metric of fuzzy measures

Fuzzy Sets and Systems, 2000
A fuzzy measure is considered on the \(\sigma\)-algebra \({\mathcal A}\) of Borel subsets of a metric space (i.e., \(\mu:{\mathcal A}\to [0,\infty]\), \(\mu(\emptyset)= 0\), \(\mu\) monotone and continuous from above and from below) together with the Sugeno integral \[ \int_A f d\mu= \bigvee_{\alpha\geq 0} [\alpha\wedge \mu(A\cap \{f\geq \alpha\})]. \]
Guijun Wang, Xiaoping Li
openaire   +1 more source

A novel hesitant fuzzy WASPAS method for assessment of green supplier problem based on exponential information measures

Journal of Cleaner Production, 2019
The main goal of green supply chain management is to minimize the injurious ecological impacts in all activities and phases of a supply chain. Evaluating the suppliers and selecting the best one based on environmental criteria can facilitate us to reach ...
A. Mishra, P. Rani, K. Pardasani, A. Mardani   +3 more
semanticscholar   +1 more source

Fuzzy logic in measurements

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy number fuzzy measures and fuzzy integrals. (II). Fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures on fuzzy sets

Fuzzy Sets and Systems, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Congxin Wu, Deli Zhang, Bokan Zhang, Caimei Guo   +3 more
openaire   +1 more source

Measures of fuzziness of fuzzy events

Fuzzy Sets and Systems, 1987
We prove some new results on two families of fuzzy integrals defined in a previous paper, and by means of them we obtain entropy measures of fuzzy sets (not necessarily finite) which contain as particular cases the measures of Batle and Trillas, and Weber.
Suárez García, Fermín, Gil Álvarez, Pedro   +1 more
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Divergence-based cross entropy and uncertainty measures of Atanassov's intuitionistic fuzzy sets with their application in decision making

Applied Soft Computing, 2019
The uncertainty measure of Atanassov’s intuitionistic fuzzy sets (AIFSs) is important for information discrimination under intuitionistic fuzzy environment.
Yafei Song, Qiang Fu, Yifei Wang, Xiaodan Wang   +3 more
semanticscholar   +1 more source