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.

引用

页码：44 / 54

页数：11

共 50 条

[41] How "class" came to Marx - taking a longer view on "race"-"class" conjunctions and disjunctions
Kistner, Ulrike
SOCIAL DYNAMICS-A JOURNAL OF AFRICAN STUDIES, 2020, 46 (01): : 36 - 49
[42] The dominance effect in concept conjunctions: Generality and interaction aspects
Storms, G
DeBoeck, P
VanMechelen, I
Ruts, W
JOURNAL OF EXPERIMENTAL PSYCHOLOGY-LEARNING MEMORY AND COGNITION, 1996, 22 (05) : 1266 - 1280
[43] Some results on the weak dominance between t-norms and t-conorms
Li, Gang
Zhang, Li -Zhu
Wang, Jing
Li, Zhen-Bo
FUZZY SETS AND SYSTEMS, 2023, 467
[44] On the dominance relation between ordinal sums of conjunctors
Saminger, Susanne
De Baets, Bernard
De Meyer, Hans
KYBERNETIKA, 2006, 42 (03) : 337 - 350
[45] DOMINANCE IN FISHES - THE RELATION BETWEEN ENVIRONMENT AND ABUNDANCE
SKUD, BE
SCIENCE, 1982, 216 (4542) : 144 - 149
[46] SOME RESULTS ON THE RELATION BETWEEN 2 PROJECTORS IN HILBERT-SPACE
NAGEL, B
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1982, : 666 - 666
[47] RELATION BETWEEN BINARY AND MULTIPLE CHOICES - SOME COMMENTS AND FURTHER RESULTS
GEORGESC.N
ECONOMETRICA, 1969, 37 (04) : 728 - &
[48] Conjunctions, disjunctions, and bell-type inequalities in orthoalgebras (vol 35, pg 2353, 1996)
Pykacz, J
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (03) : 1171 - 1172
[49] RELEVANCE AND THE SO-CALLED PSEUDO-IMPERATIVES + CONJUNCTIONS OR DISJUNCTIONS OF AN IMPERATIVE AND A DECLARATIVE CLAUSE
CLARK, B
LINGUISTICS AND PHILOSOPHY, 1993, 16 (01) : 79 - 121
[50] DOMINANCE AND NONCOMMUTATIVITY EFFECTS IN CONCEPT CONJUNCTIONS - EXTENSIONAL OR INTENSIONAL BASIS
STORMS, G
DEBOECK, P
VANMECHELEN, I
GEERAERTS, D
MEMORY & COGNITION, 1993, 21 (06) : 752 - 762

← 1 2 3 4 5 →