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On normal-valued basic pseudo-hoops

delete2011-09-22
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OA
AI
M
Michal Botur
A
Anatolij Dvurečenskij *
T
Tomasz Kowalski
DOI:10.1007/s00500-011-0763-7delete
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Abstract

Abstract

En 中文
We show that every pseudo-hoop satisfies the Riesz decomposition property. We visualize basic pseudo-hoops by functions on a linearly ordered set. Finally, we study normal-valued basic pseudo-hoops giving a countable base of equations for them.
Keywords:
Pseudo MV-algebra
Fuzzy logic
Fuzzy sets
Pseudo BL-algebra
Pseudo-hoop
Filter
Holland's representation theorem
Normal-valued pseudo-hoop
Base of equations

Journal

Soft Computing cover
Soft Computing
IF:
2.5
Papers:
1.0W
Citations:
2.1W

Organization

S
slovak academy of sciences
Scholars:
9.6K
Papers: 8.0K
Citations: 4
M
mathematical institute, sas
Scholars:
42
Papers: 46
Citations: 0
P
Palacky University Olomouc
Scholars:
7.1K
Papers: 5.7K
Citations: 62
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