Journal
INFORMATION SCIENCES
Volume 176, Issue 2, Pages 150-160Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2004.11.005
Keywords
fuzzy sets; correlation; T-W based fuzzy arithmetic operations
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Recently, the sup-min convolution based on Zadeh's extension principle has been used by Liu and Kao [Fuzzy measures for correlation coefficient of fuzzy numbers, Fuzzy Sets and Systems 128 (2002) 267-275], to calculate a fuzzy correlation coefficient. They used a mathematical programming approach to derive fuzzy measures based on the classical definition of the correlation coefficient. It is well known that T-W (the weakest t-norm)-based addition and multiplication preserve the shape of L-R fuzzy numbers. In this paper, we consider the computational aspect of the T-W-based extension principle when the principle is applied to a correlation coefficient of L-R fuzzy numbers. We give the exact solution of a fuzzy correlation coefficient without programming or the aid of computer resources. (C) 2004 Elsevier Inc. All rights reserved.
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