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5 results on '"Hua-Wen Liu"'

1. REPRESENTATION OF UNI-NULLNORMS AND NULL-UNINORMS ON BOUNDED LATTICES.

Author

Yi-Qun Zhang, Ya-Ming Wang, and Hua-Wen Liu

Abstract

In this paper, we present the representation for uni-nullnorms with disjunctive underlying uninorms on bounded lattices. It is shown that our method can cover the representation of nullnorms on bounded lattices and some of existing construction methods for uni-nullnorms on bounded lattices. Illustrative examples are presented simultaneously. In addition, the representation of null-uninorms with conjunctive underlying uninorms on bounded lattices is obtained dually. [ABSTRACT FROM AUTHOR]

Published
2024
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2. On the distributivity equation for uni-nullnorms

Author

Hua-Wen Liu and Ya-Ming Wang

Subjects
Pure mathematics, Artificial Intelligence, Control and Systems Engineering, Distributivity, Electrical and Electronic Engineering, Software, Information Systems, Theoretical Computer Science, Mathematics
Published
2019

3. On almost equitable uninorms

Author

Gang Li, Hua-Wen Liu, and János Fodor

Subjects
Discrete mathematics, Class (set theory), Characterization (mathematics), Theoretical Computer Science, Negation, Artificial Intelligence, Control and Systems Engineering, Binary operation, Information aggregation, Electrical and Electronic Engineering, Software, Information Systems, Mathematics, Unit interval
Abstract

Uninorms, as binary operations on the unit interval, have been widely applied in information aggregation. The class of almost equitable uninorms appears when the contradictory information is aggregated. It is proved that among various uninorms of which either underlying t-norm or t-conorm is continuous, only the representable uninorms belong to the class of almost equitable uninorms. As a byproduct, a characterization for the class of representable uninorms is obtained.

Published
2015

4. Semi-t-operators on a finite totally ordered set

Author

Yong Su and Hua-wen Liu

Subjects
Artificial Intelligence, Control and Systems Engineering, Electrical and Electronic Engineering, Software, Information Systems, Theoretical Computer Science
Published
2015

5. ON THE DISTRIBUTIVITY EQUATION FOR UNI-NULLNORMS.

Author

YA-MING WANG and HUA-WEN LIU

Subjects
TRIANGULAR norms, EQUATIONS
Abstract

A uni-nullnorm is a special case of 2-uninorms obtained by letting a uninorm and a nullnorm share the same underlying t-conorm. This paper is mainly devoted to solving the distribu- tivity equation between uni-nullnorms with continuous Archimedean underlying t-norms and t-conorms and some binary operators, such as, continuous t-norms, continuous t-conorms, uni- norms, and nullnorms. The new results differ from the previous ones about the distributivity in the class of 2-uninorms, which have not yet been fully characterized. [ABSTRACT FROM AUTHOR]

Published
2019
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