Title :
On Computing Normalized Interval Type-2 Fuzzy Sets
Author :
Mendel, Jerry M. ; Rajati, Mohammad Reza
Author_Institution :
Ming Hsieh Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
This paper explains how to compute normalized interval type-2 fuzzy sets in closed form and explains how the results reduce to well-known results for type-1 fuzzy sets and interval sets. Such normalized interval type-2 fuzzy sets may be needed in linguistic probability computations or multiple criteria decision analysis under uncertainty.
Keywords :
fuzzy logic; probability; interval sets; linguistic probability computations; multiple criteria decision analysis; normalized interval type-2 fuzzy sets; type-1 fuzzy sets; Equations; Frequency selective surfaces; Fuzzy sets; Pragmatics; Probability; Switches; Vocabulary; Fuzzy weighted average (FWA); interval type-2 fuzzy sets (IT2 FSs); interval weighted average (IWA); linguistic probability; linguistic weighted average (LWA); normalized interval type-2 fuzzy sets;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2013.2280133
