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Fuzzy Preference Ordering of Interval Numbers in Decision Problems - Atanu Sengupta; Tapan Kumar Pal
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In conventional mathematical programming, coefficients of problems are usually determined by the experts as crisp values in terms of classical mathematical reasoning. But in reality, in a… Plus…

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Fuzzy Preference Ordering of Interval Numbers in Decision Problems - Livres de poche

2010, ISBN: 9783642100604

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Pal, Tapan Kumar; Sengupta, Atanu:
Fuzzy Preference Ordering of Interval Numbers in Decision Problems - Livres de poche

2010

ISBN: 3642100600

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Softcover reprint of hardcover 1st ed. 2009 Kartoniert / Broschiert Mathematik für Ingenieure, Künstliche Intelligenz, Fuzziness; Interval Decision Problems; Traveling Salesman Problem;… Plus…

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Fuzzy Preference Ordering of Interval Numbers in Decision Problems - Livres de poche

2009, ISBN: 3642100600

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Fuzzy Preference Ordering of Interval Numbers in Decision Problems - Livres de poche

2009, ISBN: 3642100600

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Fuzzy Preference Ordering of Interval Numbers in Decision Problems
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ISBN:

9783642100604


In conventional mathematical programming, coefficients of problems are usually determined by the experts as crisp values in terms of classical mathematical reasoning. But in reality, in an imprecise and uncertain environment, it will be utmost unrealistic to assume that the knowledge and representation of an expert can come in a precise way. The wider objective of the book is to study different real decision situations where problems are defined in inexact environment. Inexactness are mainly generated in two ways - (1) due to imprecise perception and knowledge of the human expert followed by vague representation of knowledge as a DM; (2) due to huge-ness and complexity of relations and data structure in the definition of the problem situation. We use interval numbers to specify inexact or imprecise or uncertain data. Consequently, the study of a decision problem requires answering the following initial questions: How should we compare and define preference ordering between two intervals?, interpret and deal inequality relations involving interval coefficients?, interpret and make way towards the goal of the decision problem? The present research work consists of two closely related fields: approaches towards defining a generalized preference ordering scheme for interval attributes and approaches to deal with some issues having application potential in many areas of decision making.

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EAN (ISBN-13): 9783642100604
ISBN (ISBN-10): 3642100600
Version reliée
Livre de poche
Date de parution: 2010
Editeur: Springer-Verlag GmbH
180 Pages
Poids: 0,281 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2012-01-22T23:09:01+01:00 (Zurich)
Page de détail modifiée en dernier sur 2022-05-06T16:04:50+02:00 (Zurich)
ISBN/EAN: 9783642100604

ISBN - Autres types d'écriture:
3-642-10060-0, 978-3-642-10060-4
Autres types d'écriture et termes associés:
Auteur du livre: atan, seng, sengupta
Titre du livre: numbers, préférence, preference

Données de l'éditeur

Auteur: Atanu Sengupta; Tapan Kumar Pal
Titre: Studies in Fuzziness and Soft Computing; Fuzzy Preference Ordering of Interval Numbers in Decision Problems
Editeur: Springer; Springer Berlin
166 Pages
Date de parution: 2010-10-21
Berlin; Heidelberg; DE
Imprimé / Fabriqué en
Langue: Anglais
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
XII, 166 p.

BC; Hardcover, Softcover / Mathematik/Sonstiges; Angewandte Mathematik; Verstehen; Fuzziness; Fuzzy Preference Ordering of Interval Numbers; Interval Decision Problems; Traveling Salesman Problem; decision problem; knowledge; linear optimization; modeling; optimization; perception; Applications of Mathematics; Mathematical and Computational Engineering Applications; Artificial Intelligence; Mathematik für Ingenieure; Künstliche Intelligenz; BB; EA

On Comparing Interval Numbers: A Study on Existing Ideas.- Acceptability Index and Interval Linear Programming.- Fuzzy Preference Ordering of Intervals.- Solving the Shortest Path Problem with Interval Arcs.- Travelling Salesman Problem with Interval Cost Constraints.- Interval Transportation Problem with Multiple Penalty Factors.- Fuzzy Preference based TOPSIS for Interval Multi-criteria Decision Making.- Concluding Remarks and the Future Scope.
Studies real decision situations where problems are defined in inexact environment Presents recent research in Fuzzy Preference Ordering of Interval Numbers and Modelling of Interval Decision Problems Includes supplementary material: sn.pub/extras
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