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  1. Science in China Series : Information Sciences
  2. Science in China Series : Information Sciences : Volume 54
  3. Science in China Series : Information Sciences : Volume 54, Issue 1, January 2011
  4. The structural analysis of fuzzy measures
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Science in China Series : Information Sciences : Volume 61
Science in China Series : Information Sciences : Volume 60
Science in China Series : Information Sciences : Volume 59
Science in China Series : Information Sciences : Volume 58
Science in China Series : Information Sciences : Volume 57
Science in China Series : Information Sciences : Volume 56
Science in China Series : Information Sciences : Volume 55
Science in China Series : Information Sciences : Volume 54
Science in China Series : Information Sciences : Volume 54, Issue 12, December 2011
Science in China Series : Information Sciences : Volume 54, Issue 11, November 2011
Science in China Series : Information Sciences : Volume 54, Issue 10, October 2011
Science in China Series : Information Sciences : Volume 54, Issue 9, September 2011
Science in China Series : Information Sciences : Volume 54, Issue 8, August 2011
Science in China Series : Information Sciences : Volume 54, Issue 7, July 2011
Science in China Series : Information Sciences : Volume 54, Issue 6, June 2011
Science in China Series : Information Sciences : Volume 54, Issue 5, May 2011
Science in China Series : Information Sciences : Volume 54, Issue 4, April 2011
Science in China Series : Information Sciences : Volume 54, Issue 3, March 2011
Science in China Series : Information Sciences : Volume 54, Issue 2, February 2011
Science in China Series : Information Sciences : Volume 54, Issue 1, January 2011
Optimizing write operation on replica in data grid
Restrictive mechanism of flow control among non-cooperative Internet users
An index-split Bloom filter for deep packet inspection
The structural analysis of fuzzy measures
A new method for removing mixed noises
Real solution isolation with multiplicity of zero-dimensional triangular systems
Efficient CRT-based residue-to-binary converter for the arbitrary moduli set
Optimality strategy of a sealed-offer simultaneous bargaining protocol
The cut sets, decomposition theorems and representation theorems on intuitionistic fuzzy sets and interval valued fuzzy sets
A fast local routing repair scheme for wireless mobile ad hoc network
A note on the 2-connectivity in one-dimensional ad hoc networks
Performance analysis of a noise-normalized FFH/MFSK receiver over Rayleigh fading channels with partial-band noise jamming
Double-characters detection of nonlinear frequency modulated signals based on FRFT
A single observer location method under the scatter signals position disturbance situation: the constraint total least square method
An optimal adaptive filtering algorithm with a polynomial prediction model
An eigenstructure-based 2D DOA estimation method using dual-size spatial invariance array
Generalized adaptive subspace detector for range-Doppler spread target with high resolution radar
A GTD model and state space approach based method for extracting the UWB scattering center of moving target
Matrix calculation of high-dimensional cross product and its application in automatic recognition of the endmembers of hyperspectral imagary
Sidelobe reduction based on spectrum reshaping in microwave imaging
Science in China Series : Information Sciences : Volume 53
Science in China Series : Information Sciences : Volume 52
Science in China Series : Information Sciences : Volume 51
Science in China Series : Information Sciences : Volume 50
Science in China Series : Information Sciences : Volume 49
Science in China Series : Information Sciences : Volume 48
Science in China Series : Information Sciences : Volume 47
Science in China Series : Information Sciences : Volume 46
Science in China Series : Information Sciences : Volume 45
Science in China Series : Information Sciences : Volume 44

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The structural analysis of fuzzy measures

Content Provider Springer Nature Link
Author Zhang, Ling Zhang, Bo Zhang, YanPing
Copyright Year 2010
Abstract From quotient space based granular computing theory we explore the fuzzy measures of fuzzy sets. Based on the structural analysis of fuzzy sets, we present an “isotropism” assumption. Under this assumption we achieved the following insights: (1) the uniqueness of a fuzzy measure being isotropic on a finite complete semi-ordered set; (2) the necessary and sufficient condition of the isomorphism for fuzzy measure functions in fuzzy mathematics; (3) the necessary and sufficient condition that fuzzy measures have fuzzy and granular monotonicity; (4) under a certain assumption, the analytic expression for fuzzy measures. The results clarify the relationship between fuzzy measures and granular computing, reveal the essence of fuzzy measures, and provide a simple way of constructing fuzzy measures.
Starting Page 38
Ending Page 50
Page Count 13
File Format PDF
ISSN 1674733X
Journal Science in China Series : Information Sciences
Volume Number 54
Issue Number 1
e-ISSN 18691919
Language English
Publisher SP Science China Press
Publisher Date 2011-01-10
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword quotient space fuzzy set fuzzy measure rough set structural analysis Information Systems and Communication Service
Content Type Text
Resource Type Article
Subject Computer Science
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