On defuzzyfication functionals in fuzzy number calculus

Authors:
Witold Kosinski
Affiliations:
Polish-Japanese Institute of Information Technology, Intelligent Systems, Warsaw and Kazimierz Wielki University of Bydgoszcz, Institute of Environmental Mechanics and Applied Computer Science, By ...
Venue:
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
Year:
2008

Citing 4
Cited 0

Elementary fuzzy calculus

Fuzzy Sets and Systems
Fuzzy arithmetic with requisite constraints

Fuzzy Sets and Systems - Special issue: fuzzy arithmetic
Fuzzy Reals with Algebraic Operations: Algorithmic Approach

Proceedings of the IIS'2002 Symposium on Intelligent Information Systems
Evolutionary algorithm determining defuzzyfication operators

Engineering Applications of Artificial Intelligence

Quantified Score

Hi-index	0.00

Visualization

Abstract

Ordered fuzzy numbers (OFN) form a generalization of classical convex fuzzy numbers, for which membership functions may not exist; however, they posssess oriented membership curves.The generalized concept of a fuzzy number, namely OFN, appears as an ordered pair of continuous real functions defined on the interval [0, 1]. New class of defuzzyfication functionals is introduced within the concept of ordered fuzzy numbers. With the help of the variational calculus next defuzzyfication functionals can be obtained.