Results 301 to 310 of about 8,045,854 (358)

Fuzzy Measures and Measures of Fuzziness

1985
In order to prevent confusion about fuzzy measures and measures of fuzziness, we shall first briefly describe the meaning and features of fuzzy measures. In the early 1970s, Sugeno defined a fuzzy measure as follows [Sugeno 1977]: 𝓑 is a Borel field of the arbitrary set (universe) X.
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Supports of a fuzzy measure

Bulletin of the Kyushu Institute of Technology. Pure and applied mathematics, 2001
By a fuzzy measure any monotone function \(g: B\to [0,1]\) (defined on the \(\sigma\)-algebra \(B\) of all Borel subsets of a completely regular Hausdorff topological space) is understood. Various definitions of supports of \(g\) are presented and some relations among them are explained.
Honda, Aoi, Okazaki, Yoshiaki
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Fuzzy similarity measures and measurement theory

2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019
We consider objects associated with a fuzzy set-based representation. By using a classic method of measurement introduced by Tversky, we establish necessary and sufficient conditions for the existence of a particular class of fuzzy similarity measures, agreeing with an ordering relation among pairs of objects which express the idea that two objects are
Coletti, Giulianella, Bouchon-Meunier, Bernadette   +1 more
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The distance measures and cross-entropy based on complex fuzzy sets and their application in decision making

Journal of Intelligent & Fuzzy Systems, 2020
The information measures (IMs) of complex fuzzy information are very useful tools in the areas of machine learning and decision making. In some multi-attribute group decision making (MAGDM) problems, the decision makers can make a decision mostly ...
Peide Liu, Zeeshan Ali, T. Mahmood
semanticscholar   +1 more source

A novel VIKOR approach based on entropy and divergence measures of Pythagorean fuzzy sets to evaluate renewable energy technologies in India

Journal of Cleaner Production, 2019
The utilization of renewable energy sources or technologies has grown huge attention from the last few decades. The selection of renewable energy technologies is a laborious task for decision-makers.
P. Rani, A. Mishra, K. Pardasani, A. Mardani, Huchang Liao, D. Štreimikienė   +5 more
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Fuzzy-valued fuzzy measures and generalized fuzzy integrals

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Caimei Guo, Deli Zhang, Congxin Wu
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Fuzzy confirmation measures

Fuzzy Sets and Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Measures of Observables and Measures of Fuzziness

2012
The key aims of modern scientific work have generally been to find relationships between observed phenomena, construct mathematical formulas that describe these relationships, take measurements of the observables, and define axioms using terms that are as exact as possible.
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Fuzzy rough set-based attribute reduction using distance measures

Knowledge-Based Systems, 2019
Attribute reduction is one of the most important applications of fuzzy rough sets in machine learning and pattern recognition. Most existing methods employ the intersection operation of fuzzy relations to construct the dependency function of attribute ...
Changzhong Wang, Yang Huang, Mingwen Shao, Xiaodong Fan   +3 more
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On intuitionistic fuzzy order-α divergence and entropy measures with MABAC method for multiple attribute group decision-making

Journal of Intelligent & Fuzzy Systems, 2020
The development of information measures associated with fuzzy and intuitionistic fuzzy sets is an important research area from the past few decades. Divergence and entropy are two significant information measures in the intuitionistic fuzzy set (IFS ...
R. Verma
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