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Fuzzy Measure Theory
Zhenyuan Wang,George J. Klir +1 more
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Introduction.Abstract:
Introduction. Required Background in Set Theory. Fuzzy Measures. Extensions. Structural Characteristics for Set Functions. Measurable Functions on Fuzzy Measure Spaces. Fuzzy Integrals. PanIntegrals. Applications. Index.read more
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Simulating continuous dynamical systems under conditions of uncertainty: the probability and the possibility approaches
TL;DR: In this paper, the role of probability and possibility theory in the simulation of continuous dynamical systems where parameters and/or initial conditions are uncertain is discussed, and the authors discuss the role and role of these formalisms in the simulations of continuous dynamic systems.
Journal ArticleDOI
A note on the extension of the null-additive set function on the algebra of subsets
Wu Congxin,Sun Bo +1 more
TL;DR: This work points out that the proof of Theorem 2 in [E. Pap, Extension of null-additive set functions on algebra of subsets, Novi Sad J. Math. 31 (2) (2001) 9–13] is incorrect and gives a correct proof, and gets a corresponding theorem on extension of the weakly null- additive set function.
Journal ArticleDOI
Sugeno integral based on absolutely monotone real set functions
Biljana Mihailovic,Endre Pap +1 more
TL;DR: The class of all absolutely monotone and sign stable set functions with m(@A)=0, denoted by AMSS, is introduced and a representation of a comonotone-cosigned -additive functional by Sugeno integral based on m@?AMSS is obtained.
Book ChapterDOI
The Concave and Decomposition Integrals: A Review and Future Directions
TL;DR: The concave and decomposition-integrals for capacities defined over finite spaces are introduced and the decomposition integral is based on allowable decompositions of a random variable and it generalizes the Choquet, concave, Shilkret and Pan integrals.
Journal ArticleDOI
Computerised anaesthesia monitoring using fuzzy trend templates
TL;DR: The Sentinel anaesthesia monitor uses a fuzzy time-domain pattern matching technique, termed fuzzy trend templates, to detect vaguely specified patterns in multiple physiological data streams, which are representative of symptoms associated with undesirable patient states.