Some Results on the Dominance Relation Between Conjunctions and Disjunctions

被引：0
|
作者：
Zhang, Lizhu [1 ]
Li, Gang [1 ]
机构：
[1] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Peoples R China
来源：
INTELLIGENT COMPUTING METHODOLOGIES, PT III | 2022年 / 13395卷
关键词：
Dominance; Conjunction; Disjunction; Triangular conorm; Triangular norm; TRIANGULAR NORMS; DOMINATION; OPERATORS;
D O I：
10.1007/978-3-031-13832-4_4
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The dominance relations on the class of aggregation operators have the vital application in various areas of science, including fuzzy set theory, probabilistic metric space. The dominance relations between conjunctions and disjunctions are studied in this paper. We characterize the conjunctions (disjunctions) which dominate all triangular conorms (triangular norms). Moreover, as a generalization of the dominance relation, the weak dominance relation between conjunctions and disjunctions is also discussed.
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页码：44 / 54
页数：11
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