Overview
- 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
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 238)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
“This research monograph is concerned with modeling fuzzy preference ordering in the frame- work of decision-making. … The fuzzy preference – based TOPSIS is discussed as well. Overall, the book is a concise and useful treatment of preference handing in uncertain decision-making problems. The wealth of the illustrative numeric material is a useful feature of the book.” (Witold Pedryez, Zentralblatt MATH, Vol. 1169, 2009)Authors and Affiliations
Bibliographic Information
Book Title: Fuzzy Preference Ordering of Interval Numbers in Decision Problems
Authors: Atanu Sengupta, Tapan Kumar Pal
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-540-89915-0
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-540-89914-3Published: 13 March 2009
Softcover ISBN: 978-3-642-10060-4Published: 21 October 2010
eBook ISBN: 978-3-540-89915-0Published: 24 February 2009
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XII, 166
Topics: Applications of Mathematics, Mathematical and Computational Engineering, Artificial Intelligence