Author
Timothy J. Ross
Other affiliations: Los Alamos National Laboratory, Defense Intelligence Agency
Bio: Timothy J. Ross is an academic researcher from University of New Mexico. The author has contributed to research in topics: Fuzzy logic & Fuzzy set. The author has an hindex of 17, co-authored 104 publications receiving 6014 citations. Previous affiliations of Timothy J. Ross include Los Alamos National Laboratory & Defense Intelligence Agency.
Papers published on a yearly basis
Papers
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Book•
01 Dec 1994
TL;DR: This chapter discusses Fuzzy Systems Simulation, specifically the development of Membership Functions and the Extension Principle, and some of the methods used to derive these functions.
Abstract: About the Author. Preface to the Third Edition. 1 Introduction. The Case for Imprecision. A Historical Perspective. The Utility of Fuzzy Systems. Limitations of Fuzzy Systems. The Illusion: Ignoring Uncertainty and Accuracy. Uncertainty and Information. The Unknown. Fuzzy Sets and Membership. Chance Versus Fuzziness. Sets as Points in Hypercubes. Summary. References. Problems. 2 Classical Sets and Fuzzy Sets. Classical Sets. Operations on Classical Sets. Properties of Classical (Crisp) Sets. Mapping of Classical Sets to Functions. Fuzzy Sets. Fuzzy Set Operations. Properties of Fuzzy Sets. Alternative Fuzzy Set Operations. Summary. References. Problems. 3 Classical Relations and Fuzzy Relations. Cartesian Product. Crisp Relations. Cardinality of Crisp Relations. Operations on Crisp Relations. Properties of Crisp Relations. Composition. Fuzzy Relations. Cardinality of Fuzzy Relations. Operations on Fuzzy Relations. Properties of Fuzzy Relations. Fuzzy Cartesian Product and Composition. Tolerance and Equivalence Relations. Crisp Equivalence Relation. Crisp Tolerance Relation. Fuzzy Tolerance and Equivalence Relations. Value Assignments. Cosine Amplitude. Max Min Method. Other Similarity Methods. Other Forms of the Composition Operation. Summary. References. Problems. 4 Properties of Membership Functions, Fuzzification, and Defuzzification. Features of the Membership Function. Various Forms. Fuzzification. Defuzzification to Crisp Sets. -Cuts for Fuzzy Relations. Defuzzification to Scalars. Summary. References. Problems. 5 Logic and Fuzzy Systems. Part I Logic. Classical Logic. Proof. Fuzzy Logic. Approximate Reasoning. Other Forms of the Implication Operation. Part II Fuzzy Systems. Natural Language. Linguistic Hedges. Fuzzy (Rule-Based) Systems. Graphical Techniques of Inference. Summary. References. Problems. 6 Development of Membership Functions. Membership Value Assignments. Intuition. Inference. Rank Ordering. Neural Networks. Genetic Algorithms. Inductive Reasoning. Summary. References. Problems. 7 Automated Methods for Fuzzy Systems. Definitions. Batch Least Squares Algorithm. Recursive Least Squares Algorithm. Gradient Method. Clustering Method. Learning From Examples. Modified Learning From Examples. Summary. References. Problems. 8 Fuzzy Systems Simulation. Fuzzy Relational Equations. Nonlinear Simulation Using Fuzzy Systems. Fuzzy Associative Memories (FAMS). Summary. References. Problems. 9 Decision Making with Fuzzy Information. Fuzzy Synthetic Evaluation. Fuzzy Ordering. Nontransitive Ranking. Preference and Consensus. Multiobjective Decision Making. Fuzzy Bayesian Decision Method. Decision Making Under Fuzzy States and Fuzzy Actions. Summary. References. Problems. 10 Fuzzy Classification. Classification by Equivalence Relations. Crisp Relations. Fuzzy Relations. Cluster Analysis. Cluster Validity. c-Means Clustering. Hard c-Means (HCM). Fuzzy c-Means (FCM). Fuzzy c-Means Algorithm. Classification Metric. Hardening the Fuzzy c-Partition. Similarity Relations from Clustering. Summary. References. Problems. 11 Fuzzy Pattern Recognition. Feature Analysis. Partitions of the Feature Space. Single-Sample Identification. Multifeature Pattern Recognition. Image Processing. Summary. References. Problems. 12 Fuzzy Arithmetic and the Extension Principle. Extension Principle. Crisp Functions, Mapping, and Relations. Functions of Fuzzy Sets Extension Principle. Fuzzy Transform (Mapping). Practical Considerations. Fuzzy Arithmetic. Interval Analysis in Arithmetic. Approximate Methods of Extension. Vertex Method. DSW Algorithm. Restricted DSW Algorithm. Comparisons. Summary. References. Problems. 13 Fuzzy Control Systems. Control System Design Problem. Control (Decision) Surface. Assumptions in a Fuzzy Control System Design. Simple Fuzzy Logic Controllers. Examples of Fuzzy Control System Design. Aircraft Landing Control Problem. Fuzzy Engineering Process Control. Classical Feedback Control. Fuzzy Control. Fuzzy Statistical Process Control. Measurement Data Traditional SPC. Attribute Data Traditional SPC. Industrial Applications. Summary. References. Problems. 14 Miscellaneous Topics. Fuzzy Optimization. One-Dimensional Optimization. Fuzzy Cognitive Mapping. Concept Variables and Causal Relations. Fuzzy Cognitive Maps. Agent-Based Models. Summary. References. Problems. 15 Monotone Measures: Belief, Plausibility, Probability, and Possibility. Monotone Measures. Belief and Plausibility. Evidence Theory. Probability Measures. Possibility and Necessity Measures. Possibility Distributions as Fuzzy Sets. Possibility Distributions Derived from Empirical Intervals. Deriving Possibility Distributions from Overlapping Intervals. Redistributing Weight from Nonconsonant to Consonant Intervals. Comparison of Possibility Theory and Probability Theory. Summary. References. Problems. Index.
4,958 citations
Book•
02 Jan 1993TL;DR: A comparison of Crisp and Fuzzy Logic methods for Screening Enhanced Oil Recovery Techniques and Tuning of FBuzzy Logic Controllers by Parameter Estimation Method.
Abstract: 1. Introduction. 2. Set Theory - Fuzzy and Crisp Sets. 3. Propositional Calculus - Predicate Logic and Fuzzy Logic. 4. Fuzzy Rule-Based Expert Systems - I. 5. Fuzzy Rule-Based Expert Systems - II. 6. Fuzzy Logic Software and Hardware. 7. A Fuzzy Two-Axis Mirror Controller for Laser Beam Alignment. 8. Introduction of Fuzzy Sets in Manufacturing Planning. 9. A Comparison of Crisp and Fuzzy Logic Methods for Screening Enhanced Oil Recovery Techniques. 10. A Fuzzy Logic Rule-Based System for Personnel Detection. 11. Using Fuzzy Logic to Automatically Configure a Digital Filter. 12. Simulation of Traffic Flow and Control Using Fuzzy and Conventional Methods. 13. A Fuzzy Geometric Pattern Recognition Method with Learning Capability. 14. Fuzzy Control of Robotic Manipulator. 15. Use of Fuzzy Logic Control in Electrical Power Generation. 16. Fuzzy Logic Control of Resin Curing. 17. Fuzzy Logic Control in Flight Control Systems. 18. Tuning of Fuzzy Logic Controllers by Parameter Estimation Method. Subject Index. Author Index.
177 citations
01 Jan 2002
TL;DR: This chapter discusses applications and considerations for using Fuzzy Set Theory and Probability Theory as Guidelines for Eliciting Expert Judgment as Probabilities or FBuzzy Logic.
Abstract: Preface Section I. Fundamentals 1. Introduction 2. Fuzzy Set Theory, Fuzzy Logic, and Fuzzy Systems 3. Probability Theory 4. Bayesian Methods 5. Considerations for Using Fuzzy Set Theory and Probability Theory 6. Guidelines for Eliciting Expert Judgment as Probabilities or Fuzzy Logic Section II. Applications 7. Image Enhancement. Probability Versus Fuzzy Expert Systems 8. Engineering Process Control 9. Structural Safety Analysis. A Combined Fuzzy and Probability Approach 10. Aircraft Integrity and Reliability 11. Auto Reliability Project 12. Control Charts for Statistical Process Control 13. Fault Tree Logic Models 14. Uncertainty Distributions Using Fuzzy Logic 15. Signal Validation Using Bayesian Belief Networks and Fuzzy Logic.
123 citations
TL;DR: In this paper, the critical loads and corresponding reactions, maximum moments, and crown deflections of two-hinged and fixed, parabolic and circular arches of constant cross section subjected either to a vertical concentrated load at the crown or a vertical load uniformly distributed along the arch axis are tabulated for a wide range of rise/span ratios.
Abstract: Critical loads and the corresponding reactions, maximum moments, and crown deflections of two-hinged and fixed, parabolic and circular arches of constant cross section subjected either to a vertical concentrated load at the crown or a vertical load uniformly distributed along the arch axis are tabulated for a wide range of rise/span ratios. It is shown that the critical loads and the corresponding horizontal reactions for antisymmetrical (sidesway) modes are rather insensitive to the prebuckling displacements while the opposite is true for the symmetrical models. The antisymmetrical mode corresponds to a bifurcation type instability while the symmetrical mode corresponds to a snap-through type of buckling. The data are analyzed and simplified methods for estimating the critical loads and the critical horizontal reactions, or both, are suggested for antisymmetrical buckling. In addition to the solutions described previously, accurate values of the critical loads and horizontal reactions are reported for antisymmetrical buckling of two-hinged and fixed, parabolic and catenary arches subjected to loadings which cause pure axial compression and no prebuckling displacements.
40 citations
TL;DR: The evolution of uncertainty through time begins from a historical perspective and concludes with a new perspective based upon making inferences, which involves how to identify, classify, characterize, quantify, and combine uncertainties within an application.
39 citations
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05 Jan 1998
TL;DR: Introduction to Optimization The Binary genetic Algorithm The Continuous Parameter Genetic Algorithm Applications An Added Level of Sophistication Advanced Applications Evolutionary Trends Appendix Glossary Index.
Abstract: Introduction to Optimization The Binary Genetic Algorithm The Continuous Parameter Genetic Algorithm Applications An Added Level of Sophistication Advanced Applications Evolutionary Trends Appendix Glossary Index.
4,006 citations
2,730 citations
TL;DR: The argument is made that the potential for multiple acceptable models as representations of hydrological and other environmental systems (the equifinality thesis) should be given more serious consideration than hitherto.
2,073 citations
TL;DR: The main focus will be on the different approaches to perform robust optimization in practice including the methods of mathematical programming, deterministic nonlinear optimization, and direct search methods such as stochastic approximation and evolutionary computation.
1,435 citations
TL;DR: In this paper, fuzzy logic is viewed in a nonstandard perspective and the cornerstones of fuzzy logic-and its principal distinguishing features-are: graduation, granulation, precisiation and the concept of a generalized constraint.
1,253 citations