Some results of weighted quasi-arithmetic mean of continuous triangular norms

Authors:
Yao Ouyang;Jinxuan Fang
Affiliations:
Faculty of Science, Huzhou Teacher's College, Huzhou, 2 Xueshi Road, Zhejiang 313000, People's Republic of China and Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, ...;Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, People's Republic of China
Venue:
Information Sciences: an International Journal
Year:
2008

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Abstract

The weighted quasi-arithmetic mean of continuous triangular norms is investigated. Some results on convex combination of continuous triangular norms in Ouyang and Fang [Y. Ouyang, J.X. Fang, Some observations about the convex combination of continuous triangular norms, Nonlinear Anal. - TMA 68 (2008) 3382-3387] are generalized. Several open problems are posed.