Modelling invasive alien plant species: fuzzy-based uncertainty
"Modelling Invasive Alien Plant Species: Fuzzy Based Uncertainty presents applications of different fuzzy theory techniques in developing risk assessment models for invasive alien plant species whose introduction and spread outside their natural range threatens biodiversity. Invasion risk of sp...
Gespeichert in:
| Hauptverfasser: | , , , |
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| Format: | Buch |
| Sprache: | English |
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Boca Raton ; London ; New York
CRC Press
[2022]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "Modelling Invasive Alien Plant Species: Fuzzy Based Uncertainty presents applications of different fuzzy theory techniques in developing risk assessment models for invasive alien plant species whose introduction and spread outside their natural range threatens biodiversity. Invasion risk of species is expressed by biological traits which would be considered as the risk factors accompanied with uncertainty and imprecision. It considers both quantitative and qualitative input in modelling the invasive risk by incorporating different mathematical models based on fuzzy set theory operators, interval methods, and fuzzy linguistic operators. The proposed models can be applied for investigating risk of invasive alien plant species in different regions"-- |
| Beschreibung: | Includes index |
| Beschreibung: | xxv, 182 Seiten Illustrationen 24 cm |
| ISBN: | 9780367758097 9781032045641 |
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| 245 | 1 | 0 | |a Modelling invasive alien plant species |b fuzzy-based uncertainty |c H.O.W. Peiris, S. Chakraverty, S.S.N. Perera, S.M.W. Ranwala |
| 264 | 1 | |a Boca Raton ; London ; New York |b CRC Press |c [2022] | |
| 264 | 4 | |c © 2022 | |
| 300 | |a xxv, 182 Seiten |b Illustrationen |c 24 cm | ||
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| 500 | |a Includes index | ||
| 520 | 3 | |a "Modelling Invasive Alien Plant Species: Fuzzy Based Uncertainty presents applications of different fuzzy theory techniques in developing risk assessment models for invasive alien plant species whose introduction and spread outside their natural range threatens biodiversity. Invasion risk of species is expressed by biological traits which would be considered as the risk factors accompanied with uncertainty and imprecision. It considers both quantitative and qualitative input in modelling the invasive risk by incorporating different mathematical models based on fuzzy set theory operators, interval methods, and fuzzy linguistic operators. The proposed models can be applied for investigating risk of invasive alien plant species in different regions"-- | |
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| 653 | 0 | |a Invasive plants / Mathematical models | |
| 653 | 0 | |a Invasive plants / Risk assessment | |
| 653 | 0 | |a Fuzzy mathematics | |
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| 700 | 1 | |a Perera, Shyam Sanjeewa Nishantha |e Verfasser |0 (DE-588)1247085562 |4 aut | |
| 700 | 1 | |a Ranwala, Sudheera Manorama Wadisinh |e Verfasser |0 (DE-588)1247085678 |4 aut | |
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Datensatz im Suchindex
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| adam_text | Contents List of Figures..........................................................................................:................. ..ix List of Tables............................................................................................................... xiii Preface..........................................................................................................................xxi Acknowledgments......................................................................................................xxv Chapter 1 Invasive Alien Plant Species................................................................1 1.1 Invasive Alien Plant Species (IAPS) and Their Impact on the Environment.................................................................... 1 1.2 How Can An Alien Species Become Invasive?...................... 3 1.3 Management of Invasive AlienPlant Species............................4 Chapter 2 Risk Assessment of Invasive Alien Plant Species............................ 7 2.1 2.2 Chapter 3 Preliminaries.......................................................................................11 3.1 3.2 3.3 3.4 3.5 Chapter 4 Risk Assessment(RA) - IAPS................................................. 7 Modeling Risks of Invasive Alien Plant Species.....................8 An Overview.............................................................................11 Fuzzy Sets.................................................................................11 Membership Function..... ...................... 12 3.3.1 Terminology of Membership
Functions.................... 14 3.3.2 Types of Membership Functions................................14 3.3.3 Role of Linguistic Variables...................... 18 Fuzzy Set - Theoretic Operations........................................... 19 More on Fuzzy Set - Theoretic Operators.........................„..20 Modeling Quantitative Parameters................................................... 23 4.1 4.2 4.3 The Role of Fuzzy Set Theory in Modeling Quantitative Parameters................................................................................ 23 Fuzzy Sets and Membership Functions for Quantitative Parameters................................................................................ 24 Model Formulation..................................................................27 4.3.1 Aggregation of Fuzzy Sets.........................................27 4.3.2 Important Degrees of the Parameters........................28 v
vi Contents 4.4 4.5 Chapter 5 4.3.3 Concentration/Dilation Operators............................. 28 4.3.4 Model Output..............................................................29 Structure of the Model-Quantitative Parameters...................31 Fuzzy Analytical Hierarchy Techniques for Evaluating Grade of Importance Weights................................................. 33 4.5.1 An Overview...............................................................33 4.5.2 Preliminaries - Evaluating the Grade of Importance Weights................................................... 33 4.5.3 Construction of Fuzzy Pairwise Comparison Matrix.......................................................................... 34 4.5.4 Model Formulation.................................................... 36 Interval Function Approximation Techniques................................ 39 ** 5.1 5.2 5.3 5.4 5.5 5.6 Chapter 6 An Overview.............................................................................39 Preliminaries.............................................................................39 5.2.1 Basic Concepts of Multivariate Linear Regression.. 39 5.2.2 Least Squares Estimation...........................................40 5.2.3 Interval Multivariate Linear Regression Model.......40 5.2.4 Interval Least Squares................................................ 41 5.2.5 Interval Arithmetic..................................................... 42 Factor-based Model with Interval Inputs and Outputs........ 42 Approach
1............................................................................... 43 Approach П.............................................................................. 44 Approach ПІ..............................................................................46 Modeling with the Fuzzy Linguistic Approach.............................. 49 6.1 6.2 6.3 6.4 6.5 An Overview......................................... 49 Development of Factor-based Models based on the Symbolic Approach................................................................. 50 6.2.1 The Linguistic Terms Set............................................ 50 Symbolic Approach - Method I - Fuzzy Linguistic Aggregation Operators............................................................. 51 6.3.1 Model with Non-weighted Linguistic Parameters... 52 6.3.1.1 Linguistic Ordered Weighted Averaging (LOWA) Operator....................52 6.3.1.2 The Concept of Fuzzy Majority in the Aggregation of LOWA Operator.... .........53 6.3.1.3 Setting Up Model I-Non-weighted......... 56 6.3.2 Model with Weighted Parameters............................. 57 Symbolic Approach - Method II - Fuzzy 2-tuple..................62 Fuzzy 2-tuple Linguistic Representation............................... 63 6.5.1 Symbolic Translation of Fuzzy 2-tuple Linguistic Representation..........................................64 6.5.2 Fuzzy 2-tuple Aggregation Operators.......................64
vii Contents 6.6 Chapter 7 Modeling with the Fuzzy Linguistic 2-tuple Approach with Un balanced Linguistic Terms Set...................................... 73 7.1 7.2 7.3 Chapter 8 6.5.3 Setting up Model IV.... .............................................. 65 Approximation Approach...................................................... 67 6.6.1 Method to Merge Linguistic TermsSet......................68 6.6.2 Setting up Model V.................................................... 70 An Overview................................................. 73 Semantics of Unbalanced Linguistic Terms Set....................73 Model Based on Unbalanced Linguistic Terms Set...............80 Evaluation of Invasion Risk with Quantitative Parameters...........87 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 Quantitative Parameters/Factors in Invasiveness.................. 87 Evaluation of Dispersal Risk Models.....................................87 Model I—Hamacher ŕ-norm Operator................................... 90 Model П—Yager f-norm Operator..........................................94 Model ΠΙ—Dombi f-norm Operator.......................................97 Model ГѴ—Dubois and Prade t—norm Operator.................100 Discussion Model I—Model ГѴ........................................... 102 Evaluating Importance Weights using Fuzzy Analytical Hierarchy Techniques............................................................104 8.8.1 Models—Proposed Method 1.................................... 104 8.8.2 Discussion—Models I and П...................................105 8.9 Models—Proposed Method
П.............................................. 107 8.9.1 Construction of Models ПІ and IV............................108 8.9.2 Modelin................................................................... 109 8.9.3 Model ГѴ................................................................... 110 8.10 Discussion—Models ІП and IV............................................ 112 Chapter 9 Evaluation of Invasion Risk Intervals with Quantitative and Qual itative Parameters.............................................................................113 9.1 9.2 9.3 An Overview............................................................ 113 Modelparameters........................... .113 Model—Invasion Risk Intervals of LAPS.............................114 9.3.1 Formulation of Interval-valued Data........................ 114 9.4 Modell....................................................................................115 9.5 Modeln..................................................................................115 9.6 Comparison of Quality of Models I and П.......................... 116 9.7 Validation Results...................................................................117 9.8 Discussion - Models I and П..................................................118 9.9 Modelni.................................................................................119 9.10 Quality Measurement of Model Ш....................................... 120 9.11 Validation - Model Ш..... ...................................................... 122
viii Contents 9.12 Discussion - Model Ш..........................................................122 Chapter 10 Evaluation of Invasion Risk Levels with Symmetrically Dis tributed Linguistic Terms Sets.......................................................127 10.1 An Overview...........................................................................127 10.2 Models - Fuzzy LinguisticOperators.................................... 127 10.2.1 Identifying Parameters............................................. 128 10.2.2 Selection Procedure of Linguistic Term Set......... 128 10.2.3 Model I - LOWA......................................................129 10.2.4 Discussion ֊ Model 1.............................................. 134 10.2.5 Model Ո-LWA......... .............................................. 134 10.2.6 Discussion - Model П - LWA.................................138 ·. 10.2.7 Model III - MUOWA.............................................. 138 10.2.8 Discussion ֊ Model Ш............................................ 141 10.3 Models - Fuzzy 2-tuple Approach......................................142 10.3.1 Model I - 2-tuple (Non-weighted)......................... 142 10.3.2 Discussion - Model I - 2-tuple (Non-weighted) ..143 10.3.3 Model П - 2-tuple (Weighted)................................145 10.3.4 Discussion ֊ Model Π - 2-tuple (Weighted).........146 10.4 Models - Approximation Approach.....................................148 10.4.1 Model I - Approximation Approach...................... 148 10.4.2 Discussion Model I - Approximation Approach.. 152 10.5 Model II -
Approximation Approach..................................153 10.5.1 Discussion - Model Π - Approximation Approachl57 Chapter 11 Evaluation of Invasion Risk Levels with Asymmetrically Dis tributed Linguistic Terms Sets........................................................159 11.1 An Overview...........................................................................159 11.2 Model I - Unbalanced............................................................ 163 11.2.1 Aggregation of Sub Parameters..............................164 11.2.2 Aggregation of Main Parameters............................ 166 11.2.3 Discussion Model I - Unbalanced.......................... 167 11.3 Model Π - Unbalanced........................................................... 168 11.3.1 Discussion - Model Π - Unbalanced...................... 171 Bibliography.............................................................................................................. 173 Index 181
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Contents List of Figures.:. .ix List of Tables. xiii Preface.xxi Acknowledgments.xxv Chapter 1 Invasive Alien Plant Species.1 1.1 Invasive Alien Plant Species (IAPS) and Their Impact on the Environment. 1 1.2 How Can An Alien Species Become Invasive?. 3 1.3 Management of Invasive AlienPlant Species.4 Chapter 2 Risk Assessment of Invasive Alien Plant Species. 7 2.1 2.2 Chapter 3 Preliminaries.11 3.1 3.2 3.3 3.4 3.5 Chapter 4 Risk Assessment(RA) - IAPS. 7 Modeling Risks of Invasive Alien Plant Species.8 An Overview.11 Fuzzy Sets.11 Membership Function. . 12 3.3.1 Terminology of Membership
Functions. 14 3.3.2 Types of Membership Functions.14 3.3.3 Role of Linguistic Variables. 18 Fuzzy Set - Theoretic Operations. 19 More on Fuzzy Set - Theoretic Operators.„.20 Modeling Quantitative Parameters. 23 4.1 4.2 4.3 The Role of Fuzzy Set Theory in Modeling Quantitative Parameters. 23 Fuzzy Sets and Membership Functions for Quantitative Parameters. 24 Model Formulation.27 4.3.1 Aggregation of Fuzzy Sets.27 4.3.2 Important Degrees of the Parameters.28 v
vi Contents 4.4 4.5 Chapter 5 4.3.3 Concentration/Dilation Operators. 28 4.3.4 Model Output.29 Structure of the Model-Quantitative Parameters.31 Fuzzy Analytical Hierarchy Techniques for Evaluating Grade of Importance Weights. 33 4.5.1 An Overview.33 4.5.2 Preliminaries - Evaluating the Grade of Importance Weights. 33 4.5.3 Construction of Fuzzy Pairwise Comparison Matrix. 34 4.5.4 Model Formulation. 36 Interval Function Approximation Techniques. 39 ** 5.1 5.2 5.3 5.4 5.5 5.6 Chapter 6 An Overview.39 Preliminaries.39 5.2.1 Basic Concepts of Multivariate Linear Regression. 39 5.2.2 Least Squares Estimation.40 5.2.3 Interval Multivariate Linear Regression Model.40 5.2.4 Interval Least Squares. 41 5.2.5 Interval Arithmetic. 42 Factor-based Model with Interval Inputs and Outputs. 42 Approach
1. 43 Approach П. 44 Approach ПІ.46 Modeling with the Fuzzy Linguistic Approach. 49 6.1 6.2 6.3 6.4 6.5 An Overview. 49 Development of Factor-based Models based on the Symbolic Approach. 50 6.2.1 The Linguistic Terms Set. 50 Symbolic Approach - Method I - Fuzzy Linguistic Aggregation Operators. 51 6.3.1 Model with Non-weighted Linguistic Parameters. 52 6.3.1.1 Linguistic Ordered Weighted Averaging (LOWA) Operator.52 6.3.1.2 The Concept of Fuzzy Majority in the Aggregation of LOWA Operator. .53 6.3.1.3 Setting Up Model I-Non-weighted. 56 6.3.2 Model with Weighted Parameters. 57 Symbolic Approach - Method II - Fuzzy 2-tuple.62 Fuzzy 2-tuple Linguistic Representation. 63 6.5.1 Symbolic Translation of Fuzzy 2-tuple Linguistic Representation.64 6.5.2 Fuzzy 2-tuple Aggregation Operators.64
vii Contents 6.6 Chapter 7 Modeling with the Fuzzy Linguistic 2-tuple Approach with Un balanced Linguistic Terms Set. 73 7.1 7.2 7.3 Chapter 8 6.5.3 Setting up Model IV. . 65 Approximation Approach. 67 6.6.1 Method to Merge Linguistic TermsSet.68 6.6.2 Setting up Model V. 70 An Overview. 73 Semantics of Unbalanced Linguistic Terms Set.73 Model Based on Unbalanced Linguistic Terms Set.80 Evaluation of Invasion Risk with Quantitative Parameters.87 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 Quantitative Parameters/Factors in Invasiveness. 87 Evaluation of Dispersal Risk Models.87 Model I—Hamacher ŕ-norm Operator. 90 Model П—Yager f-norm Operator.94 Model ΠΙ—Dombi f-norm Operator.97 Model ГѴ—Dubois and Prade t—norm Operator.100 Discussion Model I—Model ГѴ. 102 Evaluating Importance Weights using Fuzzy Analytical Hierarchy Techniques.104 8.8.1 Models—Proposed Method 1. 104 8.8.2 Discussion—Models I and П.105 8.9 Models—Proposed Method
П. 107 8.9.1 Construction of Models ПІ and IV.108 8.9.2 Modelin. 109 8.9.3 Model ГѴ. 110 8.10 Discussion—Models ІП and IV. 112 Chapter 9 Evaluation of Invasion Risk Intervals with Quantitative and Qual itative Parameters.113 9.1 9.2 9.3 An Overview. 113 Modelparameters. .113 Model—Invasion Risk Intervals of LAPS.114 9.3.1 Formulation of Interval-valued Data. 114 9.4 Modell.115 9.5 Modeln.115 9.6 Comparison of Quality of Models I and П. 116 9.7 Validation Results.117 9.8 Discussion - Models I and П.118 9.9 Modelni.119 9.10 Quality Measurement of Model Ш. 120 9.11 Validation - Model Ш. . 122
viii Contents 9.12 Discussion - Model Ш.122 Chapter 10 Evaluation of Invasion Risk Levels with Symmetrically Dis tributed Linguistic Terms Sets.127 10.1 An Overview.127 10.2 Models - Fuzzy LinguisticOperators. 127 10.2.1 Identifying Parameters. 128 10.2.2 Selection Procedure of Linguistic Term Set. 128 10.2.3 Model I - LOWA.129 10.2.4 Discussion ֊ Model 1. 134 10.2.5 Model Ո-LWA. . 134 10.2.6 Discussion - Model П - LWA.138 ·. 10.2.7 Model III - MUOWA. 138 10.2.8 Discussion ֊ Model Ш. 141 10.3 Models - Fuzzy 2-tuple Approach.142 10.3.1 Model I - 2-tuple (Non-weighted). 142 10.3.2 Discussion - Model I - 2-tuple (Non-weighted) .143 10.3.3 Model П - 2-tuple (Weighted).145 10.3.4 Discussion ֊ Model Π - 2-tuple (Weighted).146 10.4 Models - Approximation Approach.148 10.4.1 Model I - Approximation Approach. 148 10.4.2 Discussion Model I - Approximation Approach. 152 10.5 Model II -
Approximation Approach.153 10.5.1 Discussion - Model Π - Approximation Approachl57 Chapter 11 Evaluation of Invasion Risk Levels with Asymmetrically Dis tributed Linguistic Terms Sets.159 11.1 An Overview.159 11.2 Model I - Unbalanced. 163 11.2.1 Aggregation of Sub Parameters.164 11.2.2 Aggregation of Main Parameters. 166 11.2.3 Discussion Model I - Unbalanced. 167 11.3 Model Π - Unbalanced. 168 11.3.1 Discussion - Model Π - Unbalanced. 171 Bibliography. 173 Index 181 |
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| author | Peiris, H. O. W. Chakraverty, Snehashish 1963- Perera, Shyam Sanjeewa Nishantha Ranwala, Sudheera Manorama Wadisinh |
| author_GND | (DE-588)1237134285 (DE-588)120961071X (DE-588)1247085562 (DE-588)1247085678 |
| author_facet | Peiris, H. O. W. Chakraverty, Snehashish 1963- Perera, Shyam Sanjeewa Nishantha Ranwala, Sudheera Manorama Wadisinh |
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| discipline | Biologie |
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| id | DE-604.BV047444868 |
| illustrated | Illustrated |
| index_date | 2024-07-03T18:01:52Z |
| indexdate | 2024-07-10T09:12:19Z |
| institution | BVB |
| isbn | 9780367758097 9781032045641 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032846959 |
| oclc_num | 1286855649 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-11 |
| physical | xxv, 182 Seiten Illustrationen 24 cm |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Peiris, H. O. W. Verfasser (DE-588)1237134285 aut Modelling invasive alien plant species fuzzy-based uncertainty H.O.W. Peiris, S. Chakraverty, S.S.N. Perera, S.M.W. Ranwala Boca Raton ; London ; New York CRC Press [2022] © 2022 xxv, 182 Seiten Illustrationen 24 cm txt rdacontent n rdamedia nc rdacarrier Includes index "Modelling Invasive Alien Plant Species: Fuzzy Based Uncertainty presents applications of different fuzzy theory techniques in developing risk assessment models for invasive alien plant species whose introduction and spread outside their natural range threatens biodiversity. Invasion risk of species is expressed by biological traits which would be considered as the risk factors accompanied with uncertainty and imprecision. It considers both quantitative and qualitative input in modelling the invasive risk by incorporating different mathematical models based on fuzzy set theory operators, interval methods, and fuzzy linguistic operators. The proposed models can be applied for investigating risk of invasive alien plant species in different regions"-- Neophyten Botanik (DE-588)4271854-5 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Wissensbasiertes System (DE-588)4197554-6 gnd rswk-swf Unsicherheit (DE-588)4186957-6 gnd rswk-swf Invasive plants / Mathematical models Invasive plants / Risk assessment Fuzzy mathematics Neophyten Botanik (DE-588)4271854-5 s Fuzzy-Menge (DE-588)4061868-7 s Unsicherheit (DE-588)4186957-6 s Wissensbasiertes System (DE-588)4197554-6 s DE-604 Chakraverty, Snehashish 1963- Verfasser (DE-588)120961071X aut Perera, Shyam Sanjeewa Nishantha Verfasser (DE-588)1247085562 aut Ranwala, Sudheera Manorama Wadisinh Verfasser (DE-588)1247085678 aut Erscheint auch als Online-Ausgabe 978-1-003-19380-7 10.1201/978-1-003-19380-7 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032846959&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Peiris, H. O. W. Chakraverty, Snehashish 1963- Perera, Shyam Sanjeewa Nishantha Ranwala, Sudheera Manorama Wadisinh Modelling invasive alien plant species fuzzy-based uncertainty Neophyten Botanik (DE-588)4271854-5 gnd Fuzzy-Menge (DE-588)4061868-7 gnd Wissensbasiertes System (DE-588)4197554-6 gnd Unsicherheit (DE-588)4186957-6 gnd |
| subject_GND | (DE-588)4271854-5 (DE-588)4061868-7 (DE-588)4197554-6 (DE-588)4186957-6 |
| title | Modelling invasive alien plant species fuzzy-based uncertainty |
| title_auth | Modelling invasive alien plant species fuzzy-based uncertainty |
| title_exact_search | Modelling invasive alien plant species fuzzy-based uncertainty |
| title_exact_search_txtP | Modelling invasive alien plant species fuzzy-based uncertainty |
| title_full | Modelling invasive alien plant species fuzzy-based uncertainty H.O.W. Peiris, S. Chakraverty, S.S.N. Perera, S.M.W. Ranwala |
| title_fullStr | Modelling invasive alien plant species fuzzy-based uncertainty H.O.W. Peiris, S. Chakraverty, S.S.N. Perera, S.M.W. Ranwala |
| title_full_unstemmed | Modelling invasive alien plant species fuzzy-based uncertainty H.O.W. Peiris, S. Chakraverty, S.S.N. Perera, S.M.W. Ranwala |
| title_short | Modelling invasive alien plant species |
| title_sort | modelling invasive alien plant species fuzzy based uncertainty |
| title_sub | fuzzy-based uncertainty |
| topic | Neophyten Botanik (DE-588)4271854-5 gnd Fuzzy-Menge (DE-588)4061868-7 gnd Wissensbasiertes System (DE-588)4197554-6 gnd Unsicherheit (DE-588)4186957-6 gnd |
| topic_facet | Neophyten Botanik Fuzzy-Menge Wissensbasiertes System Unsicherheit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032846959&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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