ebook ebooks e-book e-books downloaden bei MyEbooks.ch downloaden

Integrated Uncertainty Management and Applications

:	Van-Nam Huynh, Yoshiteru Nakamori, Jonathan Lawry
:	Van-Nam Huynh, Yoshiteru Nakamori, Jonathan Lawry, Masahiro Inuiguchi
:	Integrated Uncertainty Management and Applications
:	Springer-Verlag
:	9783642119606
:	Advances in Intelligent and Soft Computing
:	1
:	CHF 189.50
:

:	Allgemeines, Lexika
:	English

:	560
:	Wasserzeichen
:	PC/MAC/eReader/Tablet
:	PDF

Solving practical problems often requires the integration of information and knowledge from many different sources, taking into account uncertainty and impreciseness. The 2010 International Symposium on Integrated Uncertainty Management and Applications (IUM'2010), which takes place at the Japan Advanced Institute of Science and Technology (JAIST), Ishikawa, Japan, between 9th-11th April, is therefore conceived as a forum for the discussion and exchange of research results, ideas for and experience of application among researchers and practitioners involved with all aspects of uncertainty modelling and management.

	Preface	7
	Organization	9
	Contents	11
	Part I Keynote and Invited Talks	27
	Interval-Based Models for Decision Problems	28
	Introduction	28
	Interval Regression Models	29
	Interval AHP	32
	Interval Probability and Its Application to Decision Problems	35
	Conclusions	38
	References	38
	On Choquet Integral Risk Measures	39
	Introduction	39
	Risk Measures	40
	Distorted Probabilities	42
	Choquet Integral Risk Measures and Utility	43
	References	45
	Computing with Words and Systemic Functional Linguistics: Linguistic Data Summaries and Natural Language Generation	47
	Introduction	47
	Systemic Functional Linguistics and Natural Language Generation	48
	Computing withWords and Linguistic Summaries of Numerical Data	50
	Brief Remarks on Some Relations of Linguistic Summaries to Natural Language Generation on the Context of Systemic Functional Linguistics	57
	Concluding Remarks	57
	References	58
	Managing Granular Information in the Development of Human-Centric Systems	61
	Dempster-Shafer Reasoning in Large Partially Ordered Sets: Applications in Machine Learning	63
	Introduction	63
	Belief Functions: Basic Notions	64
	Belief Functions on General Lattices	66
	Lattices	66
	Belief Functions on Lattices	67
	Belief Functions with Lattice Intervals as Focal Elements	68
	The Lattice (${\mathcal I}$,.)	68
	Belief Functions on (${\mathcal I}$,.)	69
	Reasoning with Set-Valued Variables	69
	Evidence on Set-Valued Variables	70
	Multi-label Classification	70
	Belief Functions on Partitions	72
	Lattice of Partitions	73
	Ensemble Clustering	74
	Conclusion	76
	References	76
	Quasi-copulas: A Bridge between Fuzzy Set Theory and Probability Theory	79
	Part II Fuzzy Measures and Integrals	80
	A Survey of Fuzzy Integrals: Directions for Extensions	81
	Introduction	81
	Theory	82
	Fuzzy Integrals	82
	Binary Operations	83
	Extended Fuzzy Integrals	84
	Discrete Fuzzy Integrals	85
	Characterization of Fuzzy Integrals	85
	Fuzzy Integrals and Utility Theory	87
	The Choquet Integral in Economics	87
	Fuzzy Integrals for Negative Inputs	87
	Further Four Directions for Extension	88
	Conclusions	89
	References	89
	Choquet Integral on Locally Compact Space: A Survey	93
	Introduction	93
	Preliminaries	94
	Outer Regular Fuzzy Measures and Regular Fuzzy Measure	96
	Representation of Functional and Capacity	97
	Choquet Integral of a Function on the Real Line	100
	Conclusion	102
	References	102
	New Conditions for the Egoroff Theorem in Non-additive Measure Theory	104
	Introduction	104
	Definitions	105
	New Conditions for the Egoroff Theorem	106
	Concluding Remark	110
	References	110
	A Study of Riesz Space-Valued Non-additive Measures	111
	Introduction	111
	Notation and Preliminaries	112
	Riesz Space	112
	Riesz Space-Valued Non-additive Measures	113
	The Egoroff Theorem	114
	The Lebesgue and the Riesz Theorem	116
	The Lusin Theorem	117
	The Alexandroff Theorem	118
	Radon Non-additive Measures	118
	Examples	119
	Conclusion	121
	References	121
	Entropy of Fuzzy Measure	123
	Introduction	123
	Preliminaries	124
	Entropy of a Fuzzy Measure	125
	Axiomatization of the Entropy of Fuzzy Measures	127
	Relative Entropy	130
	Relation between Lattice and Set System	130
	Examples	131
	References	133
	Representations of Importance and Interaction of Fuzzy Measures, Capacities, Games and Its Extensions: A Survey	134
	Introduction	134
	Intuitive Representations of Importance and Interaction [8]	135
	Generalizations of Domains of Games [10]	136
	Fuzzy Measures, Capacities, Games and Its Extensions	136
	Examples of Generalizations of Games [10]	137
	TheM¨\	137
	138	137
	Importance and Interaction Indices	141
	Interaction Indices for Ordinary Games	141
	Interaction Indices for Games on Product Lattices	142
	Concluding Remarks	143
	References	143
	Appendix	144
	Capacities, Set-Valued Random Variables and Laws of Large Numbers for Capacities	146
	Introduction	146
	Preliminaries for Capacities and Choquet Integral	147
	Some Connections between Theory of Set-Valued Random Variables and Choquet Theory	149
	Set-Valued Random Variables and the Aumann Integral	150
	Capacities, Upper and Lower Dis	150