Algebraic structures of interval-valued fuzzy ( S,N)-implications

Authors:
Dechao Li;Yongming Li
Affiliations:
School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316000, China and College of Computer Sciences, Shaanxi Normal University, Xi'an 710062, China;College of Computer Sciences, Shaanxi Normal University, Xi'an 710062, China
Venue:
International Journal of Approximate Reasoning
Year:
2012

Citing 24
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Abstract

In this paper, a new characterization with mutually independent requirements for the interval-valued fuzzy (S,N)-implications is presented, which provides a simple way to construct interval-valued fuzzy (S,N)-implications using continuous fuzzy negations. In addition, some illustrative examples are given to show the validity of this method which builds interval-valued fuzzy (S,N)-implications.