Results 251 to 260 of about 313,315 (303)

Fuzzy-valued fuzzy measures and generalized fuzzy integrals

Fuzzy Sets and Systems, 1998
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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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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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Intuitionistic fuzzy-valued fuzzy measures

2004 2nd International IEEE Conference on 'Intelligent Systems'. Proceedings (IEEE Cat. No.04EX791), 2004
The concept of intuitionistic fuzzy-valued fuzzy measure, that is L -valued fuzzy measures, where L = {(/spl xi//sub /spl infin//, /spl xi//sub /spl epsi//) /spl isin/ [l, /spl infin/] /spl times/ [l, /spl infin/]; /spl xi//sub /spl infin// + /spl xi//sub /spl epsi// /spl les/ /spl infin/}, is introduced.
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Fuzziness measures for fuzzy rectangles

Fuzzy Sets and Systems, 1990
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Fuzzy measures and coherent join measures

International Journal of Intelligent Systems, 2011
In assigning weights and scores in a decision problem usually we assume that they are finitely additive normalized measures, i.e., from the formal point of view, finitely additive probabilities. The normalization requirement sometimes appears as an actual restriction.
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Fuzzy σ-algebras and fuzzy measurable functions

Fuzzy Sets and Systems, 1980
Abstract In this paper we first give an axiomatic definition of a fuzzy σ-algebra which is a generalisation of the family of fuzzy events considered by L.A. Zadeh [13]. The relationship between classical and fuzzy σ-algebras and between topologies and σ-algebras, in both cases, classical and fuzzy, is established in the notation of commutative ...
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Fuzzy measurement theory

Measurement, 2008
Abstract Exact measurement is a mapping f0 from the structure of physical objects into the structure of real numbers R representing the results of measurement. In the framework of the fuzzy theory of measurement an inexact measurement is represented by a mapping f from a physical objects into a structure of fuzzy intervals.
Michał K. Urbański, Janusz Wa¸sowski
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