Results 241 to 250 of about 267,523 (299)

Fuzzy measures defined by addition of fuzzy measures

2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2016
Given a measurable space (X, A) and two fuzzy measures μ 1 and μ2 defined on A, the addition of μ 1 and μ2 determines another set function on A. Such a new set function is a fuzzy measure, too. We shall discuss the relation between the new fuzzy measure and the original fuzzy measures. We shall see that the new fuzzy measure preserves some structural
Xiaoli Hu, Shunyang Wei, Mingjing Hou, Jun Li   +3 more
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BALANCED DISCRETE FUZZY MEASURES

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2000
First a balancing property on a fuzzy measure is introduced. After that, the conditions of when an additive fuzzy measure is balanced are given and similar results are presented for 0-1 and S–decomposable fuzzy measures where S is a continuous t–conorm. Moreover, the concept of distance between two additive fuzzy measures is presented and some results
Calvo, T., Martin, J., Mayor, G., Torrens, J.   +3 more
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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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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.
Wu, Congxin, Zhang, Deli, Zhang, Bokan, Guo, Caimei   +3 more
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Dissimilarity measures between fuzzy sets or fuzzy structures

Information Sciences, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bhutani, Kiran R., Rosenfeld, Azriel
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On measures of fuzziness

Fuzzy Sets and Systems, 1989
We present a characterization of a fuzzy entropy which is formally analogous to the information theoretical Shannon entropy.
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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.
Guo, Caimei, Zhang, Deli, Wu, Congxin
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Measures of fuzzy sets and measures of fuzziness

Fuzzy Sets and Systems, 1984
Denote \((\Omega,{\mathcal B})\) 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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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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Sugeno's fuzzy measure and fuzzy clustering

Fuzzy Sets and Systems, 1985
Proposed is an iterative clustering method making use of Sugeno's fuzzy measure. The minimized performance index is of the form \(\sum^{c}_{i=1}\sum^{n}_{j=1}g_{ij}d_{ij}\), where c and n stand for the number of clusters (classes) and objects clustered, respectively.
Leszczyński, K., Penczek, P., Grochulski, W.   +2 more
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