Interval type–2 fuzzy decision making

Runkler, Thomas; Coupland, Simon; John, Robert

Abstract

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.

Citation

Runkler, T., Coupland, S., & John, R. (2017). Interval type–2 fuzzy decision making. International Journal of Approximate Reasoning, 80, https://doi.org/10.1016/j.ijar.2016.09.007

• Journal Article Type: Article
• Acceptance Date: Sep 14, 2016
• Online Publication Date: Sep 23, 2016
• Publication Date: Jan 1, 2017
• Deposit Date: Sep 14, 2016
• Publicly Available Date: Sep 23, 2016
• Journal: International Journal of Approximate Reasoning
• Print ISSN: 0888-613X
• Electronic ISSN: 0888-613X
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 80
• DOI: https://doi.org/10.1016/j.ijar.2016.09.007
• Keywords: fuzzy decision making, interval type-2 fuzzy sets
• Public URL: https://nottingham-repository.worktribe.com/output/971080
• Publisher URL: http://www.sciencedirect.com/science/article/pii/S0888613X16301591