Fuzzy Logic has gained increasing acceptance as a way to deal with complexity and uncertainty in many areas of science and engineering. This book is the first to address its practical applications to chemical systems. Ten distinguished authors discuss the role of fuzzy logic in the characterization of a variety of chemical concepts, including chirality, quantum systems, molecular engineering and design, and hierarchical classification methods. Fuzzy Logic in Chemistry will appeal to both students and professionals who are seeking to learn more about theory and applications in an area of growing importance to the physical sciences.
Key Features
* The first book on the applications of fuzzy logic in chemistry
* Covers a topic relevant to many disciplines, including molecular design
* Discusses applications of fuzzy logic to the physical sciences, a rapidly growing area
* Features chapters from highly distinguished authors in the physical sciences
1. I INTRODUCTION 2. II A BRIEF REVIEW OF SOME FUZZY SET CONCEPTS RELEVANT TO THE MOLECULAR SHAPE PROBLEM 3. III A GENERALIZATION OF THE HAUSDORFF METRIC FOR FUZZY SETS 4. IV FUZZY SYMMETRY DEFICIENCY MEASURES, FUZZY CHIRALITY MEASURES, AND FUZZY SYMMETRY GROUPS BASED ON THE MASS OF FUZZY SETS AND FUZZY HAUSDORFF-TYPE METRICS 5. V ANOTHER FUZZY SYMMETRY APPROACH: SYNTOPY AND SYNTOPY GROUPS 6. VI A THIRD FUZZY SYMMETRY APPROACH: SYMMORPHY AND FUZZY SYMMORPHY GROUPS BASED ON FUZZY HAUSDORFF-TYPE METRICS 7. VII PROOF OF THE METRIC PROPERTIES OF THE SYMMETRIC SCALING-NESTING DISSIMILARITY MEASURE 8. VIII CHIRALITY MEASURES AND SYMMETRY DEFICIENCY MEASURES FOR CONTINUA USING THE SNDSM METRIC 9. IX A FUZZY SCALING-NESTING SIMILARITY MEASURE AND THE FUZZY SCALING-NESTING DISSIMILARITY METRIC 10. X FUZZY MEASURES OF CHIRALITY AND SYMMETRY DEFICIENCY, FUZZY SYMMETRY GROUPS, AND FUZZY SYMMORPHY GROUPS BASED ON THE FUZZY SCALING-NESTING SIMILARITY MEASURE 11. XI THE CENTER OF MASS OF A FUZZY SET, THE CENTER OF MOLECULAR ELECTRON DENSITY, AND FUZZY CENTRAL MEASURES OF SYMMETRY DEFICIENCY 12. XII THE FUZZY AVERAGE OF CRISP SETS, THE FUZZY AVERAGE OF FUZZY SETS, THE CRISP AVERAGE OF CRISP SETS, THE CRISP AVERAGE OF FUZZY SETS, AND RELATED FUZZY SYMMETRY MEASURES 13. XIII TWO GENERALIZATIONS OF THE ZPA FOLDING-UNFOLDING CONTINUOUS SYMMETRY MEASURES FOR CONTINUA USING THE SNDSM METRIC AND THE HAUSDORFF METRIC 14. XIV FUZZY SET GENERALIZATIONS OF ZPA FOLDING-UNFOLDING CONTINUOUS SYMMETRY MEASURES BASED ON THE FUZZY FSNDSM METRIC AND FUZZY HAUSDORFF-TYPE METRICS 15. XV THE CHIRAL RACEMIZATION PATH PROBLEM IN n-DIMENSIONS AND MISLOW’S LABEL PARADOX 16. XVI SOME DEVELOPMENTS IN THE COMPUTATION OF PROPERTIES OF FUZZY ELECTRON DENSITIES 17. APPENDIX 18. Chapter 6: Linguistic Variables in the Molecular Recognition Problem 19. Chapter 7: The Use of Fuzzy Graphs in Chemical Structure Research 20. Chapter 8: Fuzzy Logic in Computer-Aided Structure Elucidation 21. Chapter 9: Fuzzy Hierarchical Classification Methods in Analytical Chemistry 22. Index
Fuzzy Logic has gained increasing acceptance as a way to deal with complexity and uncertainty in many areas of science and engineering. This book is the first to address its practical applications to chemical systems. Ten distinguished authors discuss the role of fuzzy logic in the characterization of a variety of chemical concepts, including chirality, quantum systems, molecular engineering and design, and hierarchical classification methods. Fuzzy Logic in Chemistry will appeal to both students and professionals who are seeking to learn more about theory and applications in an area of growing importance to the physical sciences.
Key Features
* The first book on the applications of fuzzy logic in chemistry
* Covers a topic relevant to many disciplines, including molecular design
* Discusses applications of fuzzy logic to the physical sciences, a rapidly growing area
* Features chapters from highly distinguished authors in the physical sciences
1. I INTRODUCTION 2. II A BRIEF REVIEW OF SOME FUZZY SET CONCEPTS RELEVANT TO THE MOLECULAR SHAPE PROBLEM 3. III A GENERALIZATION OF THE HAUSDORFF METRIC FOR FUZZY SETS 4. IV FUZZY SYMMETRY DEFICIENCY MEASURES, FUZZY CHIRALITY MEASURES, AND FUZZY SYMMETRY GROUPS BASED ON THE MASS OF FUZZY SETS AND FUZZY HAUSDORFF-TYPE METRICS 5. V ANOTHER FUZZY SYMMETRY APPROACH: SYNTOPY AND SYNTOPY GROUPS 6. VI A THIRD FUZZY SYMMETRY APPROACH: SYMMORPHY AND FUZZY SYMMORPHY GROUPS BASED ON FUZZY HAUSDORFF-TYPE METRICS 7. VII PROOF OF THE METRIC PROPERTIES OF THE SYMMETRIC SCALING-NESTING DISSIMILARITY MEASURE 8. VIII CHIRALITY MEASURES AND SYMMETRY DEFICIENCY MEASURES FOR CONTINUA USING THE SNDSM METRIC 9. IX A FUZZY SCALING-NESTING SIMILARITY MEASURE AND THE FUZZY SCALING-NESTING DISSIMILARITY METRIC 10. X FUZZY MEASURES OF CHIRALITY AND SYMMETRY DEFICIENCY, FUZZY SYMMETRY GROUPS, AND FUZZY SYMMORPHY GROUPS BASED ON THE FUZZY SCALING-NESTING SIMILARITY MEASURE 11. XI THE CENTER OF MASS OF A FUZZY SET, THE CENTER OF MOLECULAR ELECTRON DENSITY, AND FUZZY CENTRAL MEASURES OF SYMMETRY DEFICIENCY 12. XII THE FUZZY AVERAGE OF CRISP SETS, THE FUZZY AVERAGE OF FUZZY SETS, THE CRISP AVERAGE OF CRISP SETS, THE CRISP AVERAGE OF FUZZY SETS, AND RELATED FUZZY SYMMETRY MEASURES 13. XIII TWO GENERALIZATIONS OF THE ZPA FOLDING-UNFOLDING CONTINUOUS SYMMETRY MEASURES FOR CONTINUA USING THE SNDSM METRIC AND THE HAUSDORFF METRIC 14. XIV FUZZY SET GENERALIZATIONS OF ZPA FOLDING-UNFOLDING CONTINUOUS SYMMETRY MEASURES BASED ON THE FUZZY FSNDSM METRIC AND FUZZY HAUSDORFF-TYPE METRICS 15. XV THE CHIRAL RACEMIZATION PATH PROBLEM IN n-DIMENSIONS AND MISLOW’S LABEL PARADOX 16. XVI SOME DEVELOPMENTS IN THE COMPUTATION OF PROPERTIES OF FUZZY ELECTRON DENSITIES 17. APPENDIX 18. Chapter 6: Linguistic Variables in the Molecular Recognition Problem 19. Chapter 7: The Use of Fuzzy Graphs in Chemical Structure Research 20. Chapter 8: Fuzzy Logic in Computer-Aided Structure Elucidation 21. Chapter 9: Fuzzy Hierarchical Classification Methods in Analytical Chemistry 22. Index
