Type-2 Fuzzy Arithmetic using Alpha-planes

Abstract-- This paper examines type-2 fuzzy arithmetic using interval analysis. It relies heavily on alpha-cuts and alpha-planes. Furthermore, we discuss the use of quasi type-2 fuzzy sets proposed by Mendel and Liu and define quasi type-2 fuzzy numbers. Arithmetic operations of such numbers are defined and a worked example is presented. Keywords-- Fuzzy Arithmetic, Type-2 Fuzzy Arithmetic, Type-2 Fuzzy Numbers, Quasi Type-2 Fuzzy Numbers.

• Type: Journal
• Year: 2009
• Where: EUSFLAT
• Authors: Hussam Hamrawi, Simon Coupland
• Keywords: EUSFLAT 2009, Fuzzy Arithmetic, Fuzzy Logic, Fuzzy Numbers, Type-2 Fuzzy Sets