Results 291 to 300 of about 8,045,854 (358)
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IEEE Transactions on Fuzzy Systems, 1994
First, this paper reviews several well known measures of fuzziness for discrete fuzzy sets. Then new multiplicative and additive classes are defined. We show that each class satisfies five well-known axioms for fuzziness measures, and demonstrate that several existing measures are relatives of these classes.
Nikhil R. Pal, James C. Bezdek
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First, this paper reviews several well known measures of fuzziness for discrete fuzzy sets. Then new multiplicative and additive classes are defined. We show that each class satisfies five well-known axioms for fuzziness measures, and demonstrate that several existing measures are relatives of these classes.
Nikhil R. Pal, James C. Bezdek
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On the Fuzzy Measures and the Measures of Fuzziness for L-Fuzzy Sets
IFAC Proceedings Volumes, 1983Abstract This paper is based on the results of De Luca and Termini [1.2] and Wang (6,7,8). It includes the following three parts, (l) We extend the fuzzy integrals taking value in the unit inteval (0,1) to a fuzzy integrals taking value in a lattice.
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International Journal of Intelligent Systems, 2005
Summary: Coherence measures are a tool to compare those fuzzy sets that are sensitive to their own similarity as well as to their fuzzy nature. In this article we find three generalizations of the definition of coherence measures: a first one for any fuzzy set, a second one for any definition of strong negation, and a final one for an extension in ...
Alejandro Sancho-Royo, José L. Verdegay
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Summary: Coherence measures are a tool to compare those fuzzy sets that are sensitive to their own similarity as well as to their fuzzy nature. In this article we find three generalizations of the definition of coherence measures: a first one for any fuzzy set, a second one for any definition of strong negation, and a final one for an extension in ...
Alejandro Sancho-Royo, José L. Verdegay
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Measures of fuzzy sets and measures of fuzziness
Fuzzy Sets and Systems, 1984Denote \((\Omega,{\mathcal B})\) a measurable space. Let M be a positive real number or infinity. Consider the segment \([0,M]\) and a binary operation \(\perp\) defined on [0,M]. The operation \(\perp\) is supposed to be non- decreasing in each argument, commutative, associative and has 0 as unit.
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Divergence and fuzziness measures
Soft Computing, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BENVENUTI, Pietro +2 more
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Journal of Cleaner Production, 2020
In recent years, the selection of appropriate renewable energy sources is an extremely significant issue that affects the environmental development and economic growth.
P. Rani +5 more
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In recent years, the selection of appropriate renewable energy sources is an extremely significant issue that affects the environmental development and economic growth.
P. Rani +5 more
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Fuzzy morphology and fuzzy convexity measures
Proceedings of 13th International Conference on Pattern Recognition, 1996This study results in a very general class of approximate convex measures for objects on grey-tone images. These measures are referred to as convexity indicators. They are based on fuzzy set theory, more precisely, on the fuzzy inclusion indicators defined by Sinha and Dougherty (1993). Consideration is given to the fuzzy morphological operations which
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Applications of picture fuzzy similarity measures in pattern recognition, clustering, and MADM
Expert systems with applications, 2020Picture fuzzy set (PFS) is a direct extension of fuzzy sets (FSs) and intuitionistic fuzzy sets (IFSs) and is quite powerful than FSs and IFSs in expressing the uncertainty and vagueness in our daily life problems.
Surender Singh, A. Ganie
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Bulletin of the Kyushu Institute of Technology. Pure and applied mathematics, 1999
Let \({\mathcal B}\) be a \(\sigma\)-algebra on \(X\). An increasing function \(\mu:{\mathcal B}\to [0,1]\) with \(\mu(\emptyset)= 0\) and \(\mu(X)= 1\) is called a fuzzy measure. The authors study the question when for two fuzzy measures \(\mu\) and \(\nu\) on \({\mathcal B}\) there is an increasing function \(f: [0,1]\to [0,1]\) such that \(\nu= \mu ...
Honda, Aoi, Okazaki, Yoshiaki
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Let \({\mathcal B}\) be a \(\sigma\)-algebra on \(X\). An increasing function \(\mu:{\mathcal B}\to [0,1]\) with \(\mu(\emptyset)= 0\) and \(\mu(X)= 1\) is called a fuzzy measure. The authors study the question when for two fuzzy measures \(\mu\) and \(\nu\) on \({\mathcal B}\) there is an increasing function \(f: [0,1]\to [0,1]\) such that \(\nu= \mu ...
Honda, Aoi, Okazaki, Yoshiaki
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Fuzzy Sets and Systems, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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