模糊蕴涵下三角序和的一般形式

Abstract

Abstract: By using the method of ordinal sum, we investigated the necessary and sufficient conditions for a general fuzzy implication to be a proper complement to linear transformations of a given family of fuzzy implications on a given family of lower triangular parts of subsquares in the unit square. We put all kinds of lower triangular ordinal sum implications into a unified framework, and then gave the general form of construction of lower triangular ordinal sums of fuzzy implications.

Key words: fuzzy implication, lower triangular, ordinal sum, , necessary , and sufficient condition

CLC Number:

O159.1

XUAN Suling, ZHOU Hongjun, LIU Ni. General Forms of Lower Triangular Ordinal Sumsof Fuzzy Implications[J].Journal of Jilin University Science Edition, 2020, 58(3): 550-562.

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General Forms of Lower Triangular Ordinal Sumsof Fuzzy Implications

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