Interval type–2 fuzzy decision making

This paper concerns itself with decision making under uncertainty and theconsideration of risk. Type-1 fuzzy logic by its (essentially) crisp nature is limited in modelling decision making as there is no uncertainty in the membership function. We are interested in the role that interval type–2 fuzzy...

Full description

Bibliographic Details
Main Authors: Runkler, Thomas, Coupland, Simon, John, Robert
Format: Article
Published: Elsevier 2017
Subjects:
Online Access:https://eprints.nottingham.ac.uk/36609/
_version_ 1848795314823102464
author Runkler, Thomas
Coupland, Simon
John, Robert
author_facet Runkler, Thomas
Coupland, Simon
John, Robert
author_sort Runkler, Thomas
building Nottingham Research Data Repository
collection Online Access
description This paper concerns itself with decision making under uncertainty and theconsideration of risk. Type-1 fuzzy logic by its (essentially) crisp nature is limited in modelling decision making as there is no uncertainty in the membership function. We are interested in the role that interval type–2 fuzzy sets might play in enhancing decision making. Previous work by Bellman and Zadeh considered decision making to be based on goals and constraint. They deployed type–1 fuzzy sets. This paper extends this notion to interval type–2 fuzzy sets and presents a new approach to using interval type-2 fuzzy sets in a decision making situation taking into account the risk associated with the decision making. The explicit consideration of risk levels increases the solution space of the decision process and thus enables better decisions. We explain the new approach and provide two examples to show how this new approach works.
first_indexed 2025-11-14T19:30:07Z
format Article
id nottingham-36609
institution University of Nottingham Malaysia Campus
institution_category Local University
last_indexed 2025-11-14T19:30:07Z
publishDate 2017
publisher Elsevier
recordtype eprints
repository_type Digital Repository
spelling nottingham-366092020-05-04T19:59:09Z https://eprints.nottingham.ac.uk/36609/ Interval type–2 fuzzy decision making Runkler, Thomas Coupland, Simon John, Robert This paper concerns itself with decision making under uncertainty and theconsideration of risk. Type-1 fuzzy logic by its (essentially) crisp nature is limited in modelling decision making as there is no uncertainty in the membership function. We are interested in the role that interval type–2 fuzzy sets might play in enhancing decision making. Previous work by Bellman and Zadeh considered decision making to be based on goals and constraint. They deployed type–1 fuzzy sets. This paper extends this notion to interval type–2 fuzzy sets and presents a new approach to using interval type-2 fuzzy sets in a decision making situation taking into account the risk associated with the decision making. The explicit consideration of risk levels increases the solution space of the decision process and thus enables better decisions. We explain the new approach and provide two examples to show how this new approach works. Elsevier 2017-01 Article PeerReviewed Runkler, Thomas, Coupland, Simon and John, Robert (2017) Interval type–2 fuzzy decision making. International Journal of Approximate Reasoning, 80 . pp. 217-224. ISSN 0888-613X fuzzy decision making interval type-2 fuzzy sets http://www.sciencedirect.com/science/article/pii/S0888613X16301591 doi:10.1016/j.ijar.2016.09.007 doi:10.1016/j.ijar.2016.09.007
spellingShingle fuzzy decision making
interval type-2 fuzzy sets
Runkler, Thomas
Coupland, Simon
John, Robert
Interval type–2 fuzzy decision making
title Interval type–2 fuzzy decision making
title_full Interval type–2 fuzzy decision making
title_fullStr Interval type–2 fuzzy decision making
title_full_unstemmed Interval type–2 fuzzy decision making
title_short Interval type–2 fuzzy decision making
title_sort interval type–2 fuzzy decision making
topic fuzzy decision making
interval type-2 fuzzy sets
url https://eprints.nottingham.ac.uk/36609/
https://eprints.nottingham.ac.uk/36609/
https://eprints.nottingham.ac.uk/36609/