Phil Diamond, Peter Kloeden. The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets.
Phil Diamond, Peter Kloeden. An additional aim is to sketch selected applications in which these metric space results and methods are essential for a thorough mathematical analysis. This book is distinctly mathematical in its orientation and style. The reader is assumed to have some previous undergraduate level acquaintance with metric spaces and elementary functional analysis.
Diamond Phil, Kloeden Peter. World Scientific, May 28, 1994 - Computers - 188 pages. The primary aim of the book is to provide a systematic development of the theory of metric spaces of normal, upper semicontinuous fuzzy convex fuzzy sets with compact support sets, mainly on the base space ℜn.
Book, Online - Google Books. Singapore ; River Edge, NJ : World Scientific, c1994 ix, 178 p. : ill.
Phil Diamond, Peter E. Kloeden. Fuzzy Sets Spaces of Subsets of Rn Compact Convex Subsets of Rn Set Valued Mappings Crisp Generalizations The Space En Metrics on En Compactness Criteria Generalizations Fuzzy Set Valued Mappings of Real Variables Fuzzy Random Variables Computational Methods Fuzzy Differential Equations Optimization Under Uncertainty Fuzzy Iterations and Image Processing.
Metric spaces of fuzzy sets: theory and applications. P Diamond, PE Kloeden. World scientific, 1994. Characterization of compact subsets of fuzzy sets. P Diamond, P Kloeden. Fuzzy sets and systems 29 (3), 341-348, 1989. Numerical solution of SDE through computer experiments. PE Kloeden, E Platen, H Schurz. Springer Science & Business Media, 2012. Time-discretised Galerkin approximations of parabolic stochastic PDE's. W Grecksch, PE Kloeden. Bulletin of the Australian mathematical society 54 (1), 79-85, 1996. The compactness of E(X). Let X be a metric space and E(X) the class of fuzzy compact sets on X, equipped with the generalized Hausdorff metric D which take the supremum on the Hausdorff distances between the corresponding α-level sets. The aim of this paper is, on the one hand, to analyze the compactness and separability of E(X) with respect to the compactness and separability of X, and on the other, to study these properties on the subclass Ec(X) of level-continuous fuzzy sets.
Discover Book Depository's huge selection of Peter Kloeden books online. Free delivery worldwide on over 20 million titles. Metric Spaces Of Fuzzy Sets: Theory And Applications. Notify me. Chaotic Numerics.
Classification of stability analysis approaches. Linguistic state space.
Fuzzy Set Theory-and Its Applications. Applications of Fuzzy Sets in Engineering and Management Introduction Engineering Applications Linguistic Evaluation and Ranking of Machine Tools Fault Detection in Gearboxes Applications in Management A Discrete Location Model Fuzzy Set Models in Logistics Fuzzy Approach to the Transportation Problem Fuzzy Linear Programming in Logistics Fuzzy Sets in Scheduling Job-Shop Scheduling with Expert Systems A Method to Control Flexible Manufacturing Systems Aggregate. Classification of stability analysis approaches.
Diamond, P. and Kloeden, . Metric Spaces of Fuzzy Sets. Theory and Applications, World Scientific, River Edge, NJ, 1994. 10. Edwards, R. Functional Analysis. Theory and Applications, Holt, Rinehart and Winston, New York, 1965. 11. Hiriart-Urruty, J. Miscellanies on Nonsmooth Analysis and Optimization, Lecture Notes in Econom. Systems 255, Springer, New York, 1985. 1023/A:1008667909101.
Peter KLOEDEN School of Mathematical and Physical Sciences, Murdoch University . Abstract: Two classes of metrics are introduced for spaces of fuzzy sets
Peter KLOEDEN School of Mathematical and Physical Sciences, Murdoch University, Murdoch, WA 6150 Australia. Received 31 March 1988 Revised 18 July 1988. Abstract: Two classes of metrics are introduced for spaces of fuzzy sets. Indeed, many properties and applications of (~, d) can be regarded as generalisations of results involving the space ~co(R n) of nonempty convex compacts endowed with the Hausdorff metric 6. Both are complete metric spaces, and very recently compact sets have been completely characterised in ~n (Diamond and Kloeden ), thus extending the Blaschke selection theorem (see Lay ) to fuzzy sets.
Author: Peter Kloeden,Phil Diamond
Category: Math and Science
Publisher: World Scientific Publishing Company (May 1, 1994)
Pages: 188 pages
ePUB size: 1402 kb
FB2 size: 1643 kb
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