Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making:
In the literature of decision analysis it is traditional to rely on the tools provided by probability theory to deal with problems in which uncertainty plays a substantive role. In recent years, however, it has become increasingly clear that uncertainty is a mul tifaceted concept in which some of t...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1988
|
| Ausgabe: | 1st ed. 1988 |
| Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
310 |
| Schlagworte: | |
| Online-Zugang: | BTU01 URL des Erstveröffentlichers |
| Zusammenfassung: | In the literature of decision analysis it is traditional to rely on the tools provided by probability theory to deal with problems in which uncertainty plays a substantive role. In recent years, however, it has become increasingly clear that uncertainty is a mul tifaceted concept in which some of the important facets do not lend themselves to analysis by probability-based methods. One such facet is that of fuzzy imprecision, which is associated with the use of fuzzy predicates exemplified by small, large, fast, near, likely, etc. To be more specific, consider a proposition such as "It is very unlikely that the price of oil will decline sharply in the near future," in which the italicized words play the role of fuzzy predicates. The question is: How can one express the mean ing of this proposition through the use of probability-based methods? If this cannot be done effectively in a probabilistic framework, then how can one employ the information provided by the proposition in question to bear on a decision relating to an investment in a company engaged in exploration and marketing of oil? As another example, consider a collection of rules of the form "If X is Ai then Y is B,," j = 1, . . . , n, in which X and Yare real-valued variables and Ai and Bi are fuzzy numbers exemplified by small, large, not very small, close to 5, etc |
| Beschreibung: | 1 Online-Ressource (IX, 399 p) |
| ISBN: | 9783642466441 |
| DOI: | 10.1007/978-3-642-46644-1 |
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Datensatz im Suchindex
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| author2 | Fedrizzi, Mario |
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| dewey-full | 658.40301 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
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| discipline | Mathematik Wirtschaftswissenschaften |
| discipline_str_mv | Mathematik Wirtschaftswissenschaften |
| doi_str_mv | 10.1007/978-3-642-46644-1 |
| edition | 1st ed. 1988 |
| format | Electronic eBook |
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| spelling | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making edited by Mario Fedrizzi 1st ed. 1988 Berlin, Heidelberg Springer Berlin Heidelberg 1988 1 Online-Ressource (IX, 399 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 310 In the literature of decision analysis it is traditional to rely on the tools provided by probability theory to deal with problems in which uncertainty plays a substantive role. In recent years, however, it has become increasingly clear that uncertainty is a mul tifaceted concept in which some of the important facets do not lend themselves to analysis by probability-based methods. One such facet is that of fuzzy imprecision, which is associated with the use of fuzzy predicates exemplified by small, large, fast, near, likely, etc. To be more specific, consider a proposition such as "It is very unlikely that the price of oil will decline sharply in the near future," in which the italicized words play the role of fuzzy predicates. The question is: How can one express the mean ing of this proposition through the use of probability-based methods? If this cannot be done effectively in a probabilistic framework, then how can one employ the information provided by the proposition in question to bear on a decision relating to an investment in a company engaged in exploration and marketing of oil? As another example, consider a collection of rules of the form "If X is Ai then Y is B,," j = 1, . . . , n, in which X and Yare real-valued variables and Ai and Bi are fuzzy numbers exemplified by small, large, not very small, close to 5, etc Operations Research/Decision Theory Operations research Decision making Unschärfe (DE-588)4273405-8 gnd rswk-swf Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd rswk-swf Entscheidungstheorie (DE-588)4138606-1 gnd rswk-swf Fuzzy-Menge (DE-588)4061868-7 gnd rswk-swf Unsicherheit (DE-588)4186957-6 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Fuzzy-Menge (DE-588)4061868-7 s Entscheidung bei Unsicherheit (DE-588)4070864-0 s DE-604 Entscheidungstheorie (DE-588)4138606-1 s Unsicherheit (DE-588)4186957-6 s Unschärfe (DE-588)4273405-8 s Fedrizzi, Mario edt Erscheint auch als Druck-Ausgabe 9783540500056 Erscheint auch als Druck-Ausgabe 9783642466458 https://doi.org/10.1007/978-3-642-46644-1 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making Operations Research/Decision Theory Operations research Decision making Unschärfe (DE-588)4273405-8 gnd Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Fuzzy-Menge (DE-588)4061868-7 gnd Unsicherheit (DE-588)4186957-6 gnd |
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| title | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making |
| title_auth | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making |
| title_exact_search | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making |
| title_exact_search_txtP | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making |
| title_full | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making edited by Mario Fedrizzi |
| title_fullStr | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making edited by Mario Fedrizzi |
| title_full_unstemmed | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making edited by Mario Fedrizzi |
| title_short | Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making |
| title_sort | combining fuzzy imprecision with probabilistic uncertainty in decision making |
| topic | Operations Research/Decision Theory Operations research Decision making Unschärfe (DE-588)4273405-8 gnd Entscheidung bei Unsicherheit (DE-588)4070864-0 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Fuzzy-Menge (DE-588)4061868-7 gnd Unsicherheit (DE-588)4186957-6 gnd |
| topic_facet | Operations Research/Decision Theory Operations research Decision making Unschärfe Entscheidung bei Unsicherheit Entscheidungstheorie Fuzzy-Menge Unsicherheit Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-642-46644-1 |
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