Interval-Valued Fuzzy Matrices

Madhumangal Pal
Additional contact information
Madhumangal Pal: Vidyasagar University, Department of Applied Mathematics

Chapter Chapter 2 in Recent Developments of Fuzzy Matrix Theory and Applications, 2024, pp 65-107 from Springer

Abstract: Abstract In a conventional fuzzy set, the membership value is a single point, and it is determined by the decision maker. Obviously, it is well known that determination of membership values is a very difficult task and it completely depends on the mentality of the decision maker, time, place, and many other parameters. Sometimes, the measurement becomes impossible due to the rapid variation of the characteristics of the system whose membership values are to be determined. To make it more realistic and keeping in mind the above situations, Sambue (Fonctions ø-floues. Application l’aide au diagnostic en pathologie thyroidienne, Ph. D. Thesis, University of Marseille, France, 1975) has introduced interval-valued fuzzy sets (IVFS). The basic idea of IVFS is to replace crisp membership degrees within [0, 1] by interval in [0,1]. So, in IVFS, the membership degree is a subset of the closed interval [0,1]. For this set, the determination of membership degree becomes easy, but it increases the uncertainty.

Date: 2024
References: Add references at CitEc
Citations:

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

Related works:
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:sprchp:978-3-031-56936-4_2

Ordering information: This item can be ordered from
http://www.springer.com/9783031569364

DOI: 10.1007/978-3-031-56936-4_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().