Fuzzy Measures and Integrals in MCDA

Michel Grabisch and Christophe Labreuche ()
Additional contact information
Christophe Labreuche: Thales Research & Technology Domaine de Corbeville

Chapter Chapter 14 in Multiple Criteria Decision Analysis: State of the Art Surveys, 2005, pp 563-604 from Springer

Abstract: Abstract This chapter aims at a unified presentation of various methods of MCDA based on fuzzy measures (capacity) and fuzzy integrals, essentially the Choquet and Sugeno integral. A first section sets the position of the problem of multicriteria decision making, and describes the various possible scales of measurement (cardinal unipolar and bipolar, and ordinal). Then a whole section is devoted to each case in detail: after introducing necessary concepts, the methodology is described, and the problem of the practical identification of fuzzy measures is given. The important concept of interaction between criteria, central in this chapter, is explained in detail. It is shown how it leads to fuzzy measures. The case of bipolar scales leads to the general model based on bi-capacities, encompassing usual models based on capacities. A general definition of interaction for bipolar scales is introduced. The case of ordinal scales leads to the use of Sugeno integral, and its symmetrized version when one considers symmetric ordinal scales. A practical methodology for the identification of fuzzy measures in this context is given.

Keywords: Choquet integral; fuzzy measure; interaction; bi-capacities (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations: View citations in EconPapers (27)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
Chapter: Fuzzy Measures and Integrals in MCDA (2016)
Working Paper: Fuzzy measures and integrals in MCDA (2004)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:isochp:978-0-387-23081-8_14

Ordering information: This item can be ordered from
http://www.springer.com/9780387230818

DOI: 10.1007/0-387-23081-5_14

Access Statistics for this chapter

More chapters in International Series in Operations Research & Management Science from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().